8
Oct

Your Tuner is Lying

The E is a lie.

That’s not E. It’s close, but everything is relative.

All will be revealed.

I was doing some research today for one of my students who is working on intonation and I collected this information on Just Intonation.  I have compiled it into a table for easy reading.

Chromatic Scale Degree Equal Temperament Just Intonation Deviation from Equal Temperament
1 0 cents 0 cents 0 cents
2 100 cents 88 cents -12 cents
3 200 cents 204 cents 4 cents
4 300 cents 316 cents 16 cents
5 400 cents 386 cents -14 cents
6 500 cents 498 cents -2 cents
7 600 cents 600 cents 0 cents
8 700 cents 702 cents 2 cents
9 800 cents 814 cents 14 cents
10 900 cents 884 cents -16 cents
11 1000 cents 971 cents -29 cents
12 1100 cents 1088 cents -12 cents

OK. So what?

This information, more than any other, is crucial for playing in tune. For years I have been taught about my instrument’s tendencies (A is sharp, B is flat, etc.) and even taught how to adjust. It wasn’t until I started playing with a quartet and really working on intonation that I began to understand how intonation actually works.

From the chart we can see that scale degree 5 (the tonic major third) is WAY too sharp in the Equal Temperament system. Don’t even get me started about the dominant 7th of the tonic major triad. (Seems like the Equal Tempered guys never thought of modulating to the sub-dominant, but I digress). Somewhere along the way we tricked ourselves into being cool with out of tune-ness. It’s way easier to just accept being out of tune that to actually tune things. (If you agree with the last statement, stop right there cowboy.  Your work is done.)

I can site probably 20 recordings of saxophonists who were taught the same way I was, and it shows.  Every pitch that I was told was heinously sharp is heinously flattened without a thought regarding where the pitch was supposed to be.  I even came across a discussion forum where some one was advocating that flat notes = dark sounds and sharp notes = bright sounds.  It astounds me that this still goes on. Our country has enough problems already so let’s just end that debate right here. Flat = flat ; sharp = sharp. Full stop. If you want a dark sound you need to find a different way than playing out of tune. Sorry, Charley.

So there’s the chart. Learn it. Want one to print out? Take mine. Want just a few bullet points to remember? OK, fine:

Final point: knowing your instrument’s pitch tendencies is very important, don’t get me wrong. But the guessing game we call tuning gets a whole lot easier when you understand your tuner’s pitch tendencies first.

There's 2 Comments So Far

  • Vincent Iyengar
    October 10th, 2009 at 5:55 PM

    I think you have put the value for a Pythagorean major 6th. In other words for a major 6th above C going up a cycle of 5ths from C: G_D_A. This would indeed give a value sharper than equal temperament. However, it is possible to think of a just-tempered major 6th as being a 10th above the perfect 5th below, which would give a value flatter than the equal-tempered one. Non-perfect intervals are a matter of preference and context.

  • Tim
    October 10th, 2009 at 6:15 PM

    It’s true. I does get tricky when you are dealing with it that way. I was thinking of it in the context of a minor triad in first inversion (vi6). Obviously if there was an F in the chord then the context of the A changes because it becomes the major third. Correct me if I’m misunderstanding you.

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