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-   -   Steps and Pitch Modification (https://www.ultimate-guitar.com/forum/showthread.php?t=1575438)

 Mustaeki 11-29-2012 05:00 PM

Steps and Pitch Modification

I was wondering what the percentage of Pitch modification is per half step?

I believe per Step, its 15%. So half step is 7.5%

When I get bored of playing a song, I speed up the song and play with the higher pitch and increased speed with a Capo, and I go by the idea that 1 Step is 15% increase in pitch, so 2 then Capo goes on the second fret. Sometimes I increase the speed by pretty insane amounts, like 40% speed and the tuning is still correct.

This is the equation that I use, but is it right? Is there a sort of official equation?
It works perfectly fine for me.

 jazz_rock_feel 11-29-2012 05:09 PM

 Mustaeki 11-29-2012 05:16 PM

Quote:
 Originally Posted by jazz_rock_feel What exactly are you asking?

When you increase the pitch of some form of audio, it increases it's pitch and it's speed.

So you take a guitar riff on a guitar tuned to D. You increase it's pitch by 15% and it now sounds like a guitar tuned in Standard, just played faster.

 Keth 11-29-2012 05:17 PM

An octave means a doubling of the frequency, so a factor 2. Since an octave is twelve steps, you get the 12th root of 2 per half step, which is around 1.0594. This is for equal temperament only.

 HotspurJr 11-29-2012 07:40 PM

Quote:
 Originally Posted by Mustaeki I was wondering what the percentage of Pitch modification is per half step? I believe per Step, its 15%. So half step is 7.5% When I get bored of playing a song, I speed up the song and play with the higher pitch and increased speed with a Capo, and I go by the idea that 1 Step is 15% increase in pitch, so 2 then Capo goes on the second fret. Sometimes I increase the speed by pretty insane amounts, like 40% speed and the tuning is still correct. This is the equation that I use, but is it right? Is there a sort of official equation? It works perfectly fine for me.

One half-step should be the 12th root of 2 (go up 12 half steps, and you've doubled your frequency). I think this is a 5.94% increase. A whole step would be 12%. If you go up 15% instead, you're introducing about a quarter-step worth or error.

If that's "perfectly fine" your ear could probably use a little work.

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