User:MisterShafXen/Tuning all ETs: Difference between revisions

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=== 23ed8/7 ===
=== 23ed8/7 ===
9 steps of this tuning differs from 256/243 by 0.18 cents, resulting in an error of 4.14 cents or 41.4%.
9 steps of this tuning differs from 256/243 by 0.234 cents, resulting in an error of 5.392 cents or 53.65%.


15 steps of this tuning differs from 12/11 by 0.015 cents, resulting in an error of 0.345 cents or 3.45%.
15 steps of this tuning differs from 12/11 by 0.129 cents, resulting in an error of 2.959 cents or 29.44%.


== ED9/7s ==
== ED9/7s ==


=== 17ed9/7 ===
=== 17ed9/7 ===
1 step of this tuning differs from 64/63 by 1.676 cents, resulting in an error of 28.492 cents or 107.7%.
1 step of this tuning differs from 64/63 by 1.671 cents, resulting in an error of 28.405 cents or 111%.


8 steps of this tuning differs from 9/8 by 0.796 cents, resulting in an error of 13.532 cents or 52.73%.
8 steps of this tuning differs from 9/8 by 0.835 cents, resulting in an error of 14.203 cents or 55.5%.


== ED4/3s ==
== ED4/3s ==


=== 17ed4/3 ===
=== 17ed4/3 ===
7 steps of this tuning differs from 9/8 by 1.169 cents, resulting in an error of 19.873 cents or 69%.
7 steps of this tuning differs from 9/8 by 1.167 cents, resulting in an error of 19.845 cents or 67.74%.


=== 26ed4/3 ===
=== 26ed4/3 ===
19 steps of this tuning differs from 100/81 by 0.885 cents, resulting in an error of 23.01 cents or 121.1%.
19 steps of this tuning differs from 100/81 by 0.852 cents, resulting in an error of 22.153 cents or 115.65%.


== ED7/5s ==
== ED7/5s ==


=== 9ed7/5 ===
=== 9ed7/5 ===
7 steps of this tuning differs from 13/10 by 0.77 cents, resulting in an error of 6.93 cents or 10.6%.
7 steps of this tuning differs from 13/10 by 1.149 cents, resulting in an error of 10.341 cents or 15.98%.


== ED3/2s ==
== ED3/2s ==


=== 6ed3/2 ===
=== 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%.
1 step of this tuning differs from 31/29 by 1.534 cents, resulting in a comma of 9.204 cents or 7.9%.


== ED8/5s ==
== ED8/5s ==


=== 31ed8/5 ===
=== 31ed8/5 ===
4 steps of this tuning differs from 17/16 by 0.077 cents, resulting in an error of 2.387 cents or 9.23%.
4 steps of this tuning differs from 17/16 by 0.037 cents, resulting in an error of 1.14 cents or 4.34%.


== EDOs ==
== EDOs ==


=== 6edo ===
=== 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%.
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 11.73%.


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


=== 17edo ===
=== 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 or 2%.
1 step of 17edo is very near 25/24, differing from it by only 0.084 cents. Thus, 17edo can be tuned as a stack of 25/24s with a comma of 1.424 cents or 2.02%.


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.
10 steps of 17edo is 3.927 cents sharp of 3/2, which results in a comma of 66.765 cents or 94.58%. Not great.


=== 30edo ===
=== 30edo ===
1 step of 30edo differs from 128/125 by 1.058 cents, resulting in a comma of 31.74 cents or 79.35%.
1 step of 30edo differs from 128/125 by 1.059 cents, resulting in a comma of 31.766 cents or 79.41%.


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%.
3 steps of 30edo differs from 15/14 by 0.557 cents. When a stack of 10 of these is combined with 20 128/125s, the comma is 26.752 cents or 66.88%.


=== 32edo ===
=== 32edo ===
3 steps of 32edo differs from 16/15 by 0.769 cents, resulting in a comma of 24.608 cents or 65.6%.
3 steps of 32edo differs from 16/15 by 0.769 cents, resulting in a comma of 24.599 cents or 65.6%.


== ED8/3s ==
== ED8/3s ==


=== 35ed8/3 ===
=== 35ed8/3 ===
8 steps of this tuning differs from 5/4 by 1.8 cents, resulting in an error of 63 cents or 140%.
8 steps of this tuning differs from 5/4 by 1.811 cents, resulting in an error of 63.37 cents or 130.6%.


== ED7/2s ==
== ED7/2s ==