715/714: Difference between revisions
m Added color name |
No edit summary |
||
| (2 intermediate revisions by one other user not shown) | |||
| Line 37: | Line 37: | ||
== Temperaments == | == Temperaments == | ||
Tempering out this comma in the 17-limit gives the rank-6 '''september temperament''', and enables the [[September chords|related essentially tempered chords]]. | Tempering out this comma in the 17-limit gives the rank-6 '''september temperament''', and enables the [[September chords|related essentially tempered chords]]. | ||
=== September === | |||
[[Subgroup]]: Full 17-limit | |||
[[Comma basis]]: 715/714 | |||
[[Mapping]]: [⟨1 0 0 0 0 0 -1], ⟨0 1 0 0 0 0 -1], ⟨0 0 1 0 0 0 1], ⟨0 0 0 1 0 0 -1], ⟨0 0 0 0 1 0 1], ⟨0 0 0 0 0 1 1]] | |||
[[Optimal tuning]] (POTE): ~2 = 1＼1, ~3/2 = 701.9930, ~5/4 = 385.9978, ~7/4 = 969.0337, ~11/8 = 550.6860, ~13/8 = 839.8152 | |||
[[Optimal ET sequence]]: {{Optimal ET sequence|19, 26, 31, 41, 46, 68, 72, 103, 111, 121, 140, 183, 224, 270, 364, 436, 547, 843}} | |||
== Etymology == | == Etymology == | ||
| Line 42: | Line 53: | ||
[[Category:September]] | [[Category:September]] | ||
[[Category:Commas named for the intervals they stack]] | |||
[[Category:Commas with names disavowed by the original namer]] | |||