Ragismic microtemperaments: Difference between revisions
m →11-limit: note that 11-limit is the last limit in which 72&80 defines octoid and note why one might want to use 80 and how 80 diverges in higher limits |
m →Octoid: em dashes to make reading clearer |
||
| Line 1,608: | Line 1,608: | ||
=== 11-limit === | === 11-limit === | ||
The [[11-limit]] is the last place where all the extensions of octoid shown here agree in the mappings of primes. [[80edo]] is an alternative tuning for octoid in the 11-limit; though [[72edo]] does better for minimaxing the damage on the [[11-odd-limit]], 80edo damages prime 7 in favor of practically-just [[17/16]]'s, [[11/10]]'s and [[9/7]]'s. In higher limits, if one wants to use 80edo as the tuning, one must use octopus not octoid | The [[11-limit]] is the last place where all the extensions of octoid shown here agree in the mappings of primes. [[80edo]] is an alternative tuning for octoid in the 11-limit; though [[72edo]] does better for minimaxing the damage on the [[11-odd-limit]], 80edo damages prime 7 in favor of practically-just [[17/16]]'s, [[11/10]]'s and [[9/7]]'s. In higher limits, if one wants to use 80edo as the tuning, one must use octopus — not octoid — as 80edo doesn't temper 324/323, 375/374, 495/494, 625/624, 715/714 or 729/728. | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||