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. | 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. | 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. | 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. | 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. | 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. | 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 | 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. | 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. | 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 | 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. | 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. | 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. | 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. | 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. | 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 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 == | ||