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ZonkerBL
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  Zonker's Complete Guide to Fully Flexible Harmonic Mixing Sat Aug 18, 2007 11:12 am
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This is Zonker's guide to harmonic mixing.

I started mixing last October (in Ableton), and discovered that sometimes when I mixed two tracks together, it sounded like crap. This was because I was mixing tracks with non-harmonic keys. I'll skip all the boring technical detail about why this is and jump to the punchline: there are only certain keys you can mix tracks with and have them sound nice. (I'm assuming you know what a key is)

So suppose you have tracks a and b and you want to mix them together. Well, if their keys are incompatible, it'll sound like crap and you're out of luck. But hold on! Suppose you're sitting there playing track a. Why not change track b's key to one that's compatible (note: this is possible only if all the tracks you are playing are in a minor key, which is usually the case)? This is easy in ableton -- just use the transpose key:



Make sure you're using complex mode to warp! What we're about to do involves time stretching, and you'll get audio artifacts if you do this in beats mode. You should be using complex mode anyway, for precisely this reason. Folks who only use repitch mode need read no further, none of this will apply to you.

I will skip some more boring technical stuff and again jump straight to the punchline. This part of the instructions assumes that you can hear key clashes when playing two tracks together. If you can't, quit mixing. j/k

Play track a. Now cue up track b. Does it sound like it is mixing harmonically? No? Then turn the transpose knob one to the left and listen again.



Still not harmonic? Turn the transpose knob one to the left again.



Now here's the tricky bit -- if you're still getting a key clash, GO BACK TO ZERO.

Now, turn the transpose knob one to the right.




If you're still getting a clash, go one more to the right.



That's it -- by this time you have tested ALL POSSIBLE PERMUTATIONS. At least one of these is harmonic, and sometimes more than one is.

One of the criticisms of harmonic mixing is that you are cutting down your flexibility, by limiting yourself to mixing tracks together that are harmonically compatible. This way you can mix whatever you want, it's completely flexible.

Technical interlude 1:
Here's a technical explanation of why this method works. Remember the basic idea here is that you can reach all possible harmonic combinations by considering five permutations: -2 semitones, -1 semitone, 0 (don't do anything), +1 semitone, +2 semitones.

Suppose you've got a track that's in 12A. That track is harmonic with 11A, 12A, and 1A. Now transpose the track down by 1 semitone, from D flat minor to C minor. The track is now 5A, harmonic with 4A, 5A, and 6A. Transpose down by one semitone again and it is now B minor, 10A, harmonic with 9A, 10A, and 11A.

Go back to the original key, 12A, and transpose up by one semitone, from D flat minor to D minor, which is 7A, harmonic with 6A, 7A, and 8A. Transpose up again by one semitone and the track is now in E flat minor, 2A, harmonic with 1A, 2A, and 3A.

So those are our five permutations, which allow us to make the track harmonic with 1A (do nothing), 2A, and 3A (by transposing up two), 4A, 5A, and 6A (down 1), 7A, 8A (up one), 9A, 10A (down two), and 11A and 12A (by doing nothing). That's every possible key, and the same trick works no matter what key you start with.

Technical interlude 2:
Ok, and now here's a guide to harmonic mixing without cueing. This gets pretty technical.

If you want to be able to mix harmonically automatically, without cueing, then you need to know what key all your tracks are in. Some musically trained folks can do this themselves. Also you can buy mixed in key, or you can get rapid evolution for free. I use rapid evolution. 'Cause it's free.

Once you've identified your tracks' keys, then you have to label them somehow. Rapid evolution renames the files putting the key in front, that's one way to do it. I put the key in the "comment" id3 tag in itunes also. Don't use the standard key notation (Aflatm, Bmajor, etc.). Use the numbers notation (10A, 3B, etc.). When you have rapid evolution check your keys you will notice that almost all edm is in a minor key. That's a good thing, because what I'm talking about only works if everything is major or everything is minor. I may talk about going from major to minor keys later, that's a little dicier.

So the nice thing about using the numbers notation is it is set up to make harmonic mixing easier. All adjacent numbers are harmonic. So if you are playing a track in 3A, your next track has to be either 3A, 2A, or 4A. (If you want to switch from minor to major you, in theory, are supposed to go from 3A to 3B. You can go diagonally from 3A to 2B but it won't sound as good as going from 3A to 2A.)

Here's a camelot wheel showing how everything works:



This is the ideal camelot wheel to use because it has both classic notation (A flat minor, B major, etc) and the numbering system. When you transpose you need the classic notation (ok, I've transposed down from A flat minor to G minor), and you need to know the numbers so you know what G minor is harmonic with (7A, 6A, and 5A). Confused yet? Good.

The way the wheel works is that a given key is always harmonic with another key that is exactly a fourth or a fifth away. So if you are playing a track in C minor, it is harmonic with F minor (a fourth away) or G minor (a fifth away). So as you go clockwise around the camelot wheel you are essentially going up by fifths, and counterclockwise you are going up by fourths. So what the numbering system does is just goes around the wheel and numbers every key like it was an hour on a clock. A flat minor is 1A, then go clockwise (up a fifth) to to E flat minor, 2A, up another fifth to B flat minor, 3A, and so on.

So now you've got a track and, according to rapid evolution or you're own plinking around on the keyboard, it is in, let's say, 12A, D flat minor. If you mix it with a track that is in 11A, 12A, or 1A, it's all good -- the next track will be harmonically compatible. But let's say the next track you have that you want to play is in 4A, F minor. You want to transpose the 4A track to something that is harmonically compatible with 12A, D flat minor, transposing as little as possible (because transposing is the same as holding the pitch constant and changing the bpm). Your options are 11A, 12A, or 1A, so let's look at the classic notation and see which one can we get to with the least amount of transposing. 11A is G flat minor, which you can get to by transposing the 4A track (F minor) up by one semitone.

Now let's do a harder one -- suppose the incoming track is 2A, E flat minor. Let's look at 11A, 12A, and 1A again and see which one is closest. G flat minor (11A) is three semitones away, D flat minor (12A) is two semitones away, and A flat minor (1A) is *counts on fingers* four semitones away (I think). So in this instance you would transpose down two semitones from E flat minor to D flat minor (12A).

If you were to do this exercise for each of the possible keys for your incoming track, you will find there is always at least one harmonic key within two semitones.

Not easy to explain. Once you've done it a few times though you'll get the hang of it.

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Nephew

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   Sat Aug 18, 2007 12:31 pm
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All I know is on the circle one semitone is 7 spaces clockwise, and two semitones is 14 spaces clockwise (or 2). So even with you're method, if I read it correctly, you are still only limited in what you use.
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ZonkerBL
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   Sat Aug 18, 2007 7:23 pm
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If you read the whole thing you'll see why it works. But you don't have to. 2 semitones to the left, two semitones to the right, done. But I wouldn't recommend doing two semitones unless you really have to. One semitone will get you lots and lots of fun harmonic mixing.

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grinloki
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   Sat Aug 18, 2007 7:24 pm
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nice zonker im sure people will find this interesting!!!!

cheers!

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mike
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   Tue Aug 21, 2007 7:21 pm
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this is another great tips thread thanks for posting this

if we had an articles section this should definitely be there.

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AureliusScott
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   Tue Sep 11, 2007 6:07 pm
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does ableton tell you what key something is in according to the camelot wheel??

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ZonkerBL
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   Tue Sep 11, 2007 7:02 pm
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No, you have to figure that out yourself, or use a program like rapid evolution or mixed in key.

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grinloki
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   Tue Sep 11, 2007 7:38 pm
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thats right doing it yourself is probably the best way. If your tone deaf then use software, though in my opinion tone deaf people shouldnt even bother playing music.

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ZonkerBL
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   Tue Sep 11, 2007 7:48 pm
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Well, if you have 300 tracks that you want to id you might be better off using software anyway. Also there are cute things you can do with the software (like rename all your tracks with the key in front) that can save you time.

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ZonkerBL
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   Tue Sep 11, 2007 7:50 pm
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I'm going to rewrite this guide to make it a little more user friendly, stay tuned...

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AureliusScott
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   Wed Sep 12, 2007 1:21 pm
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i was just asking to help speed the process...I have a multitude of tracks I want to classify by key and didnt want to spend hella hours doing so....anybody know of a free virtual keyboard I can use on my mac??

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grinloki
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   Wed Sep 12, 2007 2:47 pm
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sure I never said you were tone deaf Aurelius.....
But i wouldnt trust software to give me a key either.

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AureliusScott
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   Wed Sep 12, 2007 3:56 pm
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totally didnt even take it that way, I never took a music theroy class really wanted to in high school...but ehhh

So now I'm a few steps back but I'll get on it soon enough icon_biggrin.gif

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   Sun Sep 16, 2007 4:24 pm
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Here's a guide to harmonic mixing in general.

When you start mixing you might notice that when you mix some tracks together, they sound like crap. One of the reasons this might be is that the keys they are in are harmonically compatible. I’ll assume you know what a key is, a good guide to this and other musical things is ravenspiral’s guide. I'll skip all the boring technical detail about why this is and jump to the punchline: there are only certain keys you can mix tracks with and have them sound nice.

Depending on how you mix, this can be a big problem. So how do you fix it? You need to learn how to mix harmonically. There’s different levels of harmonic mixing. At level one, you find out what keys all your tracks are in, and only mix together tracks that have harmonically compatible keys. At the next level, you transpose tracks to change their keys to make otherwise non-harmonic tracks compatible with each other.

Level one harmonic mixing:

At this level of mixing we need to know two things: what key are our tracks in, and what keys are compatible with each other?

What key are my tracks in?

Most western songs tend to converge to the tonic (the note the key is named after). If a track is in C, chances are the note where the song sounds like it is resolving is C. So if you listen to a track while plinking around on your keyboard, you will be able to figure out what key it is just listening. Depending on how much experience you have, it will take more or less time, but once you get the hang of it, it shouldn’t take you more than thirty seconds per track.

Another way to figure out what key your tracks are in is to use some software. If you have an enormous library of tracks that you want to mix harmonically with, that would take you days and weeks to do yourself, you’ll probably want to go the software rout. Purists will pooh-pooh you for doing this, but they don’t have to know, do they? You do have to be careful because sometimes the programs guess wrong as to what the key is, but they’re pretty reliable. There are two main programs out there, mixed in key and rapid evolution. Rapid evolution is free, so that’s the one I use (sh! Don’t tell anyone). In rapid evolution, once the program has detected the key, you have the option of displaying the keys in terms of flats (the key B flat minor is the same as A sharp minor, so you have a choice between displaying all the keys in terms of flats or sharps), sharps, or in a key code.

If you are reading this guide chances are you are not a music theory wiz, so displaying the key in terms of sharps and flats is not going to tell you much. If that’s the case, you will want to label your keys by a key code, a very useful tool for djs who want to mix in key. In rapid evolution, you go into options, hit the “general” tab, and in “key format” choose “key code” from the pull-down menu.

Another neat trick in rapid evolution (you can do this probably in mixed in key also but re is the program I’m familiar with) is, once the program has figured out what key your track is in, you can right click on the track, choose “database” and then “rename files.” One of the options you can choose in renaming your files is to stick the key code at the front. This is one way of keeping track what your keys are.

What keys are compatible with each other?

So now that you know what key all your tracks are in, how do you know which ones are compatible with each other?

If you are a music theory wiz, then you would know that harmonically compatible keys are related to each other by fourths and fifths (well, with the other caveat that they all have to be minor or all major). So, the keys that are harmonically compatible with C minor are F minor and and G minor, because F minor is a fourth away and G minor is a fifth away. One of the neat things about the way keys work is that if you keep moving up by a fifth (from C to G, from G to D, from D to A, etc.) you will, after doing this exactly 12 times, hit every single note in an octave. An even neater thing is if you do the same trick with fourths instead of fifths, not only will you hit all twelve notes, but the notes you will hit will be in exactly the reverse order of the notes you hit using fifths! Mind bending, isn’t it? Using this amazing property, you can make this little graphical device, called a Camelot wheel:



This is the ideal camelot wheel to use because it has both classic notation (A flat minor, B major, etc) and the numbering system. You’ll find out why this is useful in level two. As you go clockwise around the camelot wheel you are going up by fifths, and counterclockwise you are going up by fourths. Tricky! So keys that are adjacent to each other are harmonically compatible. F minor is to the left of C minor, and G minor is to the right of it. This is usually enough for music majors or piano players, but you’ll notice the Camelot wheel adds one more simplifying trick – it numbers the keys like the hours on a clock. A flat minor is 1A, then go clockwise (up a fifth) to E flat minor, 2A, up another fifth to B flat minor, 3A, and so on.

The beauty of this system is you can toss all your music theory out the window once you’ve labeled all your tracks with key codes. Are the numbers adjacent to each other? Then they’re harmonically compatible! Easy!

For example, suppose you’re playing a track in 8A (the vast majority of edm tracks are in minor keys, so I’ll use minor keys for my examples). If the next track is in 8A (the same key), 7A, or 9A, it will be harmonically compatible. If the track you’re playing is in 2A, the next track has to be 1A or 3A. And etc. Notice that, for any given track you play, only one fourth of your total collection will be harmonically compatible with it. Recall the examples above: if a track is in 8A, there are only three keys that are compatible with it, 7A, 8A, and 9A. The other nine keys are not compatible. That is one of the criticisms of mixing in key, that it severely limits your options as far as what you can mix with what. We’ll address this issue in level two.

Mixing from major to minor and vice versa:

Each minor key has one harmonically compatible major companion, where all the notes are the same. A minor is compatible with C major. The Camelot wheels shows this also, so all minor keys have A’s after them, while the major keys have B’s after them. While you can have nice harmonic effects going from one minor key to another that is a fourth or a fifth away, and similarly with major keys, when you are going from a major to a minor key (or vice versa) you’re essentially stuck with the one complementary key, you can’t go from A minor (8A) to G major (9B) with much success, it’ll sound weird.

Harmonic mixing on vinyl

I have been assuming you are using some sort of trick to hold the pitch of your track constant while you mix the other track in. Suppose you are using vinyl, or have a philosophical problem with using pitchlock. You have to keep in mind that as you change the tempo of your tracks to beatmatch them with each other, you are also potentially changing the keys. If you increase the pitch of a note by 6%, you have increased it by approximately one semitone. So if you are playing something in 100 bpm, and increase the tempo to 106 bpm, you have changed the key of the track by increasing it one semitone. If you normally mix everything within a range from 123 bpm to 130 bpm you don’t have to worry about it.

But! And there is an ENORMOUS but associated with mixing in key on vinyl, or on cdjs without pitchlock, or in ableton using repitch warping mode. If you are insisting on using vinyl, or repitch mode in ableton, or whatever, it must be because you claim to be an audiophile and can hear the difference between, say, repitch and complex mode in ableton, or the difference between a wav file and a 320 kbps mp3 file, or the difference between vinyl and cds. If your ear is that highly trained, then what do you think you will hear when you do the following:

Take a track in A minor, whose native bpm is 100. Mix it with another A minor track whose native bpm is 103. To beatmatch the two tracks, you will either have to increase the bpm of the first track by 3 percent, or lower the bpm of the second track by 3 percent. As a result, the two tracks will be, while harmonically compatible, HORRIBLY OUT OF TUNE WITH EACH OTHER! If you claim to be an audiophile, then playing two tracks that are this much out of tune will drive you completely out of your mind! In fact, I would argue that if you are a true audiophile, then playing two tracks in perfect tune in complex mode in ableton, or with pitchlock on your cdjs, will sound better than playing two harmonically compatible but out of tune lps on turntables. Whatever the improvement of sound quality is that you might get from using vinyl over some other medium will be overwhelmed by the nastiness of the tracks being out of tune. Same thing is true if you insist on using repitch mode instead of complex mode in ableton. Even people with untrained ears will not like hearing tracks that are out of tune, while only audiophiles can hear the difference between, say, repitch and complex mode. I’m just throwing that out there, to be provocative.

Step two: Transposing to add flexibility to harmonix mixing

So suppose you have tracks a and b and you want to mix them together. Well, if their keys are incompatible, it'll sound like crap and you're out of luck. But hold on! Suppose you're sitting there playing track a. Why not change (in musical lingo, transpose) track b's key to one that's compatible? So far what we’ve been discussing applies to any mixing medium that has pitchlock, but now we’re going to talk about something that, as far as I know, can only be done easily in ableton.

This is the transpose key:



Make sure you're using complex mode to warp! What we're about to do involves time stretching, and you'll get audio artifacts if you do this in beats mode. You should be using complex mode anyway, for precisely this reason.

This next part of the instructions assumes that you can hear key clashes when playing two tracks together. Play track a. Now cue up track b. Does it sound like it is mixing harmonically? No? Then turn the transpose knob one to the left and listen again.



Still not harmonic? Turn the transpose knob one to the left again.



Now here's the tricky bit -- if you're still getting a key clash, GO BACK TO ZERO.

Now, turn the transpose knob one to the right.



If you're still getting a clash, go one more to the right.



That's it -- by this time you have tested ALL POSSIBLE PERMUTATIONS. At least one of these is harmonic, and sometimes more than one is.

Seemingly we have added complete flexibility to our harmonic mixing, so in theory we can mix any track in our crate with any other track. However, it’s never that simple. Vocal tracks will sound awful when you do this, so it doesn’t work with them at all. Furthermore, most tracks will sound awful when you transpose by two semitones. So far all practical purposes, you are restricted to transposing up or down by one semitone. But if you really really really want to mix two tracks together, you’ll know you can at least cue it up and see what it sounds like, maybe you’ll get lucky. For example, if you’re going to do a mashup where you’ll be playing the two-semitone transposed track in the background, you might be able to pull it off.

Technical interlude 1:
Here's a technical explanation of why this method works. Remember the basic idea here is that you can reach all possible harmonic combinations by considering five permutations: -2 semitones, -1 semitone, 0 (don't do anything), +1 semitone, +2 semitones.

Suppose you've got a track that's in 12A. That track is harmonic with 11A, 12A, and 1A. Now transpose the track down by 1 semitone, from D flat minor to C minor. The track is now 5A, harmonic with 4A, 5A, and 6A. Transpose down by one semitone again and it is now B minor, 10A, harmonic with 9A, 10A, and 11A.

Go back to the original key, 12A, and transpose up by one semitone, from D flat minor to D minor, which is 7A, harmonic with 6A, 7A, and 8A. Transpose up again by one semitone and the track is now in E flat minor, 2A, harmonic with 1A, 2A, and 3A.

So those are our five permutations, which allow us to make the track harmonic with 1A (do nothing), 2A, and 3A (by transposing up two), 4A, 5A, and 6A (down 1), 7A, 8A (up one), 9A, 10A (down two), and 11A and 12A (by doing nothing). That's every possible key, and the same trick works no matter what key you start with.

Technical interlude 2: Level 2.5 – Flexible mixing without cueing

Just so you know in advance, this gets pretty technical. This is actually how I mix.

If you want to be able to mix harmonically automatically, without cueing, then you need to know what key all your tracks are in, so you have to have gone through the key identification steps in level one, and label all your tracks somehow. Now we will use the Camelot wheel above that has both the classical notation and the key code notation on it, because we’re going to need both.

So now you've got a track and, according to mixed in key, rapid evolution, or you're own plinking around on the keyboard, it is in, let's say, 12A, D flat minor. If you mix it with a track that is in 11A, 12A, or 1A, it's all good -- the next track will be harmonically compatible. But let's say the next track you have that you want to play is in 4A, F minor. You want to transpose the 4A track to something that is harmonically compatible with 12A, D flat minor, transposing as little as possible (because transposing is the same as holding the pitch constant and changing the bpm). Your options are 11A, 12A, or 1A, so let's look at the classic notation and see which one can we get to with the least amount of transposing. 11A is G flat minor, which you can get to by transposing the 4A track (F minor) up by one semitone.

Now let's do a harder one -- suppose the incoming track is 2A, E flat minor. Let's look at 11A, 12A, and 1A again and see which one is closest. G flat minor (11A) is three semitones away, D flat minor (12A) is two semitones away, and A flat minor (1A) is *counts on fingers* four semitones away (I think). So in this instance you would transpose down two semitones from E flat minor to D flat minor (12A).

If you were to do this exercise for each of the possible keys for your incoming track, you will find there is always at least one harmonic key within two semitones.

Not easy to explain. Once you've done it a few times though you'll get the hang of it.

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   Mon Sep 24, 2007 1:00 pm
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Nice article Zonk. One thing I would add from my own experience mixing in key that I didn't see in there is that transposing 2 semitones is enough sometimes to change the gender of a vocalist icon_smile.gif so I am less flexible with vocal-heavy tracks - try to bend an instrumental to fit the vocal instead of the other way around. Sometimes you can get away with it on a vocal but other times it sounds just awful...
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   Mon Sep 24, 2007 1:03 pm
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Oops, thought of one other thing - don't always trust rapid evo, especially with less melodic deep/dubby/minimal stuff - I have had it come up waaaay off the mark on a few tracks... becomes pretty obvious though when you try to mix icon_smile.gif
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thomas.summer
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   Mon Sep 24, 2007 1:11 pm
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Very interesting.I use Ableton alot and still learning

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ZonkerBL
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   Mon Sep 24, 2007 1:16 pm
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belvario wrote:
Nice article Zonk. One thing I would add from my own experience mixing in key that I didn't see in there is that transposing 2 semitones is enough sometimes to change the gender of a vocalist icon_smile.gif so I am less flexible with vocal-heavy tracks - try to bend an instrumental to fit the vocal instead of the other way around. Sometimes you can get away with it on a vocal but other times it sounds just awful...


Heheh. Yeah, if you look at the expurgated version I mention this.

Quote:

Seemingly we have added complete flexibility to our harmonic mixing, so in theory we can mix any track in our crate with any other track. However, it’s never that simple. Vocal tracks will sound awful when you do this, so it doesn’t work with them at all. Furthermore, most tracks will sound awful when you transpose by two semitones. So far all practical purposes, you are restricted to transposing up or down by one semitone. But if you really really really want to mix two tracks together, you’ll know you can at least cue it up and see what it sounds like, maybe you’ll get lucky. For example, if you’re going to do a mashup where you’ll be playing the two-semitone transposed track in the background, you might be able to pull it off.


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   Mon Sep 24, 2007 1:47 pm
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ZonkerBL wrote:


Heheh. Yeah, if you look at the expurgated version I mention this.



Ack, missed it! icon_redface.gif
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ZonkerBL
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Posts: 188

   Mon Sep 24, 2007 2:08 pm
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thomas.summer wrote:
Very interesting.I use Ableton alot and still learning


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