7edo: Difference between revisions
m Recategorization |
Extend commas table to the 13-limit as per xenwolf's note in talk page, talk about temperaments. |
||
| Line 333: | Line 333: | ||
|- | |- | ||
| 11 | | 11 | ||
| | |[[4000/3993]] | ||
[[4000/3993]] | |||
|{{monzo| 5 -1 3 0 -3 }} | |{{monzo| 5 -1 3 0 -3 }} | ||
|3.03 | |3.03 | ||
|Triluyo | |Triluyo | ||
| Wizardharry | | Wizardharry | ||
|- | |||
|13 | |||
|[[27/26]] | |||
|{{monzo| -1 3 0 0 0 -1 }} | |||
|65.33 | |||
|thu unison | |||
|small tridecimal third tone | |||
|- | |||
|13 | |||
|[[65/64]] | |||
|{{monzo| -6 0 1 0 0 1 }} | |||
|26.84 | |||
| | |||
|wilsorma | |||
|- | |||
|13 | |||
|[[52/49]] | |||
|{{monzo| 2 0 0 -2 0 1 }} | |||
|102.87 | |||
|thoruru unison | |||
|hammerisma | |||
|- | |||
|13 | |||
| [[14641/13312]] | |||
|{{monzo| -10 0 0 0 4 -1 }} | |||
|164.74 | |||
| | |||
| | |||
|} | |} | ||
<references /> | <references /> | ||
== | ==Temperaments== | ||
2 | |||
7edo is the first edo in which regular temperament theory starts to make sense as a way of subdividing the steps into mode of symmetry scales, with three different ways of dividing it, although there is still quite a lot of ambiguity as each step can be considered as the sharp extreme of one temperament or the flat end of another. 1/7 can be considered the intersection of sharp [[porcupine]] and flat [[tetracot]] temperaments, as three steps makes a 4th and 4 a 5th. 2/7 can be interpreted as critically flat [[Mohajira]] or critically sharp [[amity]], and creates MOS's of 322 and 2221. 3/7 is on the intersection of [[meantone]] and [[mavila]], and has MOS's of 331 and 21211. | |||
==Music== | ==Music== | ||