User:MisterShafXen/Tuning all ETs: Difference between revisions

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=== 17ed4/3 ===

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

7 steps of this tuning differs from 9/8 by 1.169 cents, resulting in an error of 19.873 cents or 69%.

== ED3/2s ==

=== 6ed3/2 ===

1 step of this tuning differs from 31/29 by 1.541 cents, resulting in a comma of 9.246 cents or 7.7%.

== EDOs ==

=== 6edo ===

1 step of 6edo differs from 9/8 by 3.91 cents, resulting in an error of 23.46 cents (Pythagorean comma, 531441/524288) or 12.73%.

Another approach is to use 64/57, which results in an error of 2.808 cents or 1.404%.

=== 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.

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 or 2%.

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

10 steps of 17edo is 3.925 cents sharp of 3/2, which results in a comma of 52.725 cents or 75%. Not great.

=== 30edo ===

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

1 step of 30edo differs from 128/125 by 1.058 cents, resulting in a comma of 31.74 cents or 79.35%.

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.

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 or 69.325%.

=== 32edo ===

3 steps of 32edo differs from 16/15 by 0.769 cents, resulting in a comma of 24.608 cents.

3 steps of 32edo differs from 16/15 by 0.769 cents, resulting in a comma of 24.608 cents or 65.6%.

== 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.

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 or 122.6%.

@@ Line 4: / Line 4: @@
 === 17ed4/3 ===
-steps of this tuning differs from 9/8 by 1.169 cents, resulting in an error of 19.873 cents.
+steps of this tuning differs from 9/8 by 1.169 cents, resulting in an error of 19.873 cents or 69%.
+== ED3/2s ==
+=== 6ed3/2 ===
+step of this tuning differs from 31/29 by 1.541 cents, resulting in a comma of 9.246 cents or 7.7%.
 == EDOs ==
+=== 6edo ===
+step of 6edo differs from 9/8 by 3.91 cents, resulting in an error of 23.46 cents (Pythagorean comma, 531441/524288) or 12.73%.
+Another approach is to use 64/57, which results in an error of 2.808 cents or 1.404%.
 === 17edo ===
-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.
+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 or 2%.
-steps of 17edo is 3.925 cents sharp of 3/2, which results in a comma of 52.725 cents. Not great.
+steps of 17edo is 3.925 cents sharp of 3/2, which results in a comma of 52.725 cents or 75%. Not great.
 === 30edo ===
-step of 30edo differs from 128/125 by 1.058 cents, resulting in a comma of 31.74 cents.
+step of 30edo differs from 128/125 by 1.058 cents, resulting in a comma of 31.74 cents or 79.35%.
-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.
+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 or 69.325%.
 === 32edo ===
-steps of 32edo differs from 16/15 by 0.769 cents, resulting in a comma of 24.608 cents.
+steps of 32edo differs from 16/15 by 0.769 cents, resulting in a comma of 24.608 cents or 65.6%.
 == ED7/2s ==
 === 35ed7/2 ===
-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.
+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 or 122.6%.