31edo: Difference between revisions
→Temperament measures: update |
merge mos and rank 2 tables |
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* It supports [[6edf]] (miracle) and [[9edf]] (Carlos alpha), fifth-equivalent equal temperaments that hit many good JI approximations. | * It supports [[6edf]] (miracle) and [[9edf]] (Carlos alpha), fifth-equivalent equal temperaments that hit many good JI approximations. | ||
See [[31edo#MOSes and rank-2 temperaments]] for a table of MOSes and some temperament interpretations. | |||
== As a regular temperament == | == As a regular temperament == | ||
| Line 1,022: | Line 965: | ||
! Generator | ! Generator | ||
! Cents | ! Cents | ||
! MOSes | |||
! Temperaments | ! Temperaments | ||
! [[Pergen]] | ! [[Pergen]] | ||
| Line 1,027: | Line 971: | ||
| 1\31 | | 1\31 | ||
| 38.71 | | 38.71 | ||
| [[1L 14s]]<br/>[[15L 1s]] | |||
| [[Slender]] | | [[Slender]] | ||
| (P8, P4/13) | | (P8, P4/13) | ||
| Line 1,032: | Line 977: | ||
| 2\31 | | 2\31 | ||
| 77.42 | | 77.42 | ||
| [[1L 8s]]<br/>[[1L 9s]]<br/>[[10L 1s]]<br/>[[10L 11s]] | |||
| [[Valentine]]/[[Lupercalia]] | | [[Valentine]]/[[Lupercalia]] | ||
| (P8, P5/9) | | (P8, P5/9) | ||
| Line 1,037: | Line 983: | ||
| 3\31 | | 3\31 | ||
| 116.13 | | 116.13 | ||
| [[1L 8s]]<br/>[[1L 9s]]<br/>[[10L 1s]]<br/>[[10L 11s]] | |||
| [[Miracle]] | | [[Miracle]] | ||
| (P8, P5/6) | | (P8, P5/6) | ||
| Line 1,042: | Line 989: | ||
| 4\31 | | 4\31 | ||
| 154.84 | | 154.84 | ||
| [[1L 6s]]<br/>[[7L 1s]]<br/>[[8L 7s]]<br/>[[8L 15s]] | |||
| [[Nusecond]] | | [[Nusecond]] | ||
| (P8, P11/11) | | (P8, P11/11) | ||
| Line 1,047: | Line 995: | ||
| 5\31 | | 5\31 | ||
| 193.55 | | 193.55 | ||
| [[1L 5s]]<br/>[[6L 7s]]<br/>[[6L 13s]]<br/>[[6L 19s]] | |||
| [[Luna]]/[[Hemithirds]]/[[Hemiwürschmidt]] | | [[Luna]]/[[Hemithirds]]/[[Hemiwürschmidt]] | ||
| (P8, WWP4/15) | | (P8, WWP4/15) | ||
| Line 1,052: | Line 1,001: | ||
| 6\31 | | 6\31 | ||
| 232.26 | | 232.26 | ||
| [[1L 4s]]<br/>[[5L 6s]]<br/>[[5L 11s]]<br/>[[5L 16s]]<br/>[[5L 21s]] | |||
| [[Mothra]]/[[Mosura]] | | [[Mothra]]/[[Mosura]] | ||
| (P8, P5/3) | | (P8, P5/3) | ||
| Line 1,057: | Line 1,007: | ||
| 7\31 | | 7\31 | ||
| 270.97 | | 270.97 | ||
| [[4L 1s]]<br/>[[4L 5s]]<br/>[[9L 4s]]<br/>[[9L 13s]] | |||
| [[Orwell]]/[[Orson]]/[[Semicomma family#Orwell-Winston|Winston]] | | [[Orwell]]/[[Orson]]/[[Semicomma family#Orwell-Winston|Winston]] | ||
| (P8, P12/7) | | (P8, P12/7) | ||
| Line 1,062: | Line 1,013: | ||
| 8\31 | | 8\31 | ||
| 309.68 | | 309.68 | ||
| [[4L 3s]]<br/>[[4L 7s]]<br/>[[4L 11s]]<br/>[[4L 15s]] | |||
| [[Myna]] | | [[Myna]] | ||
| (P8, WWP5/10) | | (P8, WWP5/10) | ||
| Line 1,067: | Line 1,019: | ||
| 9\31 | | 9\31 | ||
| 348.39 | | 348.39 | ||
| [[3L 4s]]<br/>[[7L 3s]]<br/>[[7L 10s]]<br/>[[7L 17s]] | |||
| [[Vicentino]]/[[Mohajira]]/[[Migration]] | | [[Vicentino]]/[[Mohajira]]/[[Migration]] | ||
| (P8, P5/2) | | (P8, P5/2) | ||
| Line 1,072: | Line 1,025: | ||
| 10\31 | | 10\31 | ||
| 387.10 | | 387.10 | ||
| [[3L 7s]]<br/>[[3L 10s]]<br/>[[3L 13s]]<br/>[[3L 16s]]<br/>[[3L 19s]]<br/>Pathological [[3L 22s]]<br/> Pathological [[3L 25s]] | |||
| [[Würschmidt]]/[[Worschmidt]] | | [[Würschmidt]]/[[Worschmidt]] | ||
| (P8, WWP5/8) | | (P8, WWP5/8) | ||
| Line 1,077: | Line 1,031: | ||
| 11\31 | | 11\31 | ||
| 425.81 | | 425.81 | ||
| [[3L 2s]]<br/>[[3L 5s]]<br/>[[3L 8s]]<br/>[[3L 11s]]<br/>[[14L 3s]] | |||
| [[Squares]]/[[Sentinel]] | | [[Squares]]/[[Sentinel]] | ||
| (P8, P11/4) | | (P8, P11/4) | ||
| Line 1,082: | Line 1,037: | ||
| 12\31 | | 12\31 | ||
| 464.52 | | 464.52 | ||
| [[3L 2s]]<br/>[[5L 3s]]<br/>[[5L 8s]]<br/>[[13L 5s]] | |||
| [[A-Team]]/[[Semisept]] | | [[A-Team]]/[[Semisept]] | ||
| (P8, M9/3) | | (P8, M9/3) | ||
| Line 1,087: | Line 1,043: | ||
| 13\31 | | 13\31 | ||
| 503.23 | | 503.23 | ||
| [[2L 3s]]<br/>[[5L 2s]]<br/>[[7L 5s]]<br/>[[12L 7s]] | |||
| [[Meantone]]/[[Meanpop]] | | [[Meantone]]/[[Meanpop]] | ||
| (P8, P5) | | (P8, P5) | ||
| Line 1,092: | Line 1,049: | ||
| 14\31 | | 14\31 | ||
| 541.94 | | 541.94 | ||
| [[2L 5s]]<br/>[[2L 7s]]<br/>[[9L 2s]]<br/>[[11L 9s]] | |||
| [[Casablanca]]/[[Cypress]]/[[Oracle]] | | [[Casablanca]]/[[Cypress]]/[[Oracle]] | ||
| (P8, W<sup>5</sup>P4/12) | | (P8, W<sup>5</sup>P4/12) | ||
| Line 1,097: | Line 1,055: | ||
| 15\31 | | 15\31 | ||
| 580.65 | | 580.65 | ||
| | |||
| [[Tritonic]]/[[Tritoni]] | | [[Tritonic]]/[[Tritoni]] | ||
| (P8, WWP4/5) | | (P8, WWP4/5) | ||