User:MisterShafXen/Tuning all ETs

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Revision as of 21:48, 14 April 2026 by MisterShafXen (talk | contribs) (Created page with "Here is where I will be listing my approaches for tuning various ETs, octave-repeating or otherwise. == ED4/3s == === 17ed4/3 === 7 steps of this tuning differs from 9/8 by 1.169 cents, resulting in an error of 19.873 cents. == EDOs == === 17edo === 1 step of 17edo is very near 25/24, differing from it by only 0.085 cents. Thus, 17edo can be tuned as a stack of 25/24s with a comma of 1.445 cents. 10 steps of 17edo is 3.925 cents sharp of 3/2, which results in a comm...")
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Here is where I will be listing my approaches for tuning various ETs, octave-repeating or otherwise.

ED4/3s

17ed4/3

7 steps of this tuning differs from 9/8 by 1.169 cents, resulting in an error of 19.873 cents.

EDOs

17edo

1 step of 17edo is very near 25/24, differing from it by only 0.085 cents. Thus, 17edo can be tuned as a stack of 25/24s with a comma of 1.445 cents.

10 steps of 17edo is 3.925 cents sharp of 3/2, which results in a comma of 52.725 cents. Not great.

30edo

1 step of 30edo differs from 128/125 by 1.058 cents, resulting in a comma of 31.74 cents.

3 steps of 30edo differs from 15/14 by 0.657 cents. When a stack of 10 of these is combined with 20 128/125s, the comma is 27.73 cents.

ED7/2s

35ed7/2

7 steps of this tuning differs from 9/7 by 1.322 cents. Stacking 5 of these results in a comma of 6.661 cents. 8 steps of this tuning differs from 4/3 by 2.317 cents. Stacking 30 of these has an error of 69.51 cents. The total error becomes 76.171 cents.

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