4320edo: Difference between revisions
| Line 21: | Line 21: | ||
4320edo tempers out the [[Kirnberger's atom]], and aside from tuning the atomic temperament, it supports period-60 temperament [[minutes]]. It also supports the period-80 temperament [[mercury]]. | 4320edo tempers out the [[Kirnberger's atom]], and aside from tuning the atomic temperament, it supports period-60 temperament [[minutes]]. It also supports the period-80 temperament [[mercury]]. | ||
In the 7-limit, 4320edo tempers out the [[landscape comma]], and in the 11-limit, the [[kalisma]]. It is a tuning for | In the 7-limit, 4320edo tempers out the [[landscape comma]], and in the 11-limit, the [[kalisma]]. It is a tuning for the rank-3 temperament [[odin]]. | ||
Higher harmonics it represents well past the 23-limit are 31, 37, 47, 59, 61, 71. | Higher harmonics it represents well past the 23-limit are 31, 37, 47, 59, 61, 71. | ||
| Line 87: | Line 87: | ||
|} | |} | ||
=== Rank-2 temperaments === | |||
{| class="wikitable center-all left-5" | |||
!Periods | |||
per 8ve | |||
!Generator | |||
(reduced) | |||
!Cents | |||
(reduced) | |||
!Associated | |||
ratio | |||
!Temperaments | |||
|- | |||
|12 | |||
|2527\4320 | |||
(7\2460) | |||
|498.056 | |||
(1.944) | |||
|4/3 | |||
(32805/32768) | |||
|[[Atomic]] | |||
|- | |||
|60 | |||
|2527\4320 | |||
(7\2460) | |||
|498.056 | |||
(1.944) | |||
|4/3 | |||
(32805/32768) | |||
|[[Minutes]] | |||
|- | |||
|80 | |||
|1337\4320 | |||
(41\4320) | |||
|371.4 | |||
(11.4) | |||
|2275/1836 | |||
(?) | |||
|[[Mercury]] | |||
|} | |||
== Miscellany == | == Miscellany == | ||
4320edo is the 69th highly abundant EDO. Nice. | 4320edo is the 69th highly abundant EDO. Nice. | ||