20/11: Difference between revisions
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== Approximation == | == Approximation == | ||
20/11 is approximated extremely precisely by [[80edo]] and its multiples, with a chain of eighty 20/11's failing to close at the octave by a mere third of a cent, close enough that you could theoretically tune an instrument to 80edo by ear using it if you had the patience. | 20/11 is approximated extremely precisely by [[80edo]] and its multiples, with a chain of eighty 20/11's failing to close at the octave by a mere third of a cent, close enough that you could theoretically tune an instrument to 80edo by ear using it if you had the patience. | ||
{{Interval_Edo_Approximation | 20/11}} | |||
== See also == | == See also == | ||
Revision as of 07:46, 3 November 2025
| Interval information |
undecimal supraminor seventh
[sound info]
20/11 the small undecimal neutral seventh or undecimal supraminor seventh is an 11-limit interval measuring about 1035 ¢ in size.
Approximation
20/11 is approximated extremely precisely by 80edo and its multiples, with a chain of eighty 20/11's failing to close at the octave by a mere third of a cent, close enough that you could theoretically tune an instrument to 80edo by ear using it if you had the patience.
| Edo | Step size | Cents (¢) | Absolute error (¢) | Relative error (%) |
|---|---|---|---|---|
| 7 | 6\7 | 1028.57 | -6.42 | -3.75 |
| 14 | 12\14 | 1028.57 | -6.42 | -7.50 |
| 15 | 13\15 | 1040.00 | +5.00 | +6.26 |
| 22 | 19\22 | 1036.36 | +1.37 | +2.51 |
| 29 | 25\29 | 1034.48 | -0.51 | -1.24 |
| 36 | 31\36 | 1033.33 | -1.66 | -4.99 |
| 37 | 32\37 | 1037.84 | +2.84 | +8.76 |
| 43 | 37\43 | 1032.56 | -2.44 | -8.73 |
| 44 | 38\44 | 1036.36 | +1.37 | +5.02 |
| 51 | 44\51 | 1035.29 | +0.30 | +1.27 |
| 58 | 50\58 | 1034.48 | -0.51 | -2.48 |
| 65 | 56\65 | 1033.85 | -1.15 | -6.23 |
| 66 | 57\66 | 1036.36 | +1.37 | +7.52 |
| 72 | 62\72 | 1033.33 | -1.66 | -9.97 |
| 73 | 63\73 | 1035.62 | +0.62 | +3.78 |
| 80 | 69\80 | 1035.00 | +0.00 | +0.03 |