User:Moremajorthanmajor/12wtn: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
|||
| Line 1: | Line 1: | ||
'''12WTN''' is the [[EDF|equal division of the just perfect fifth]] into six parts of 116.9925 [[cent|cents]] each alternated with a sequence of six equal steps of another interval between 100 and 133.333 cents. Its best tunings are related to the [[Gamelismic clan|miracle temperament]], which tempers out 225/224 and 1029/1024 in the 7-limit. | '''12WTN''' is the [[EDF|equal division of the just perfect fifth]] into six parts of 116.9925 [[cent|cents]] each alternated with a sequence of six equal steps of another interval between 100 and 133.333 cents. Its best tunings are related to the [[Gamelismic clan|miracle temperament]], which tempers out 225/224 and 1029/1024 in the 7-limit. | ||
== Intervals == | == Optimal Intervals == | ||
{| class="wikitable" | {| class="wikitable" | ||
| | | | ||
! | !Minimum a | ||
! | !Maximum a | ||
! | !Minimum b | ||
! | !Maximum b | ||
|- | |- | ||
!1 | !1 | ||
| Line 28: | Line 28: | ||
|- | |- | ||
|7 | |7 | ||
|821.955 | |821.955 | ||
|830.526 | |||
|797.955 | |||
|804.812 | |||
|- | |- | ||
|8 | |8 | ||
|941.955 | |941.955 | ||
|959.098 | |||
|893.955 | |||
|907.669 | |||
|- | |- | ||
|9 | |9 | ||
|1061.955 | |1061.955 | ||
|1087.67 | |||
|989.955 | |||
|1010.526 | |||
|- | |- | ||
|10 | |10 | ||
|1181.955 | |1181.955 | ||
|1216.241 | |||
|1085.955 | |||
|1113.384 | |||
|- | |- | ||
|11 | |11 | ||
|1301.955 | |1301.955 | ||
|1344.812 | |||
|1181.955 | |||
|1216.241 | |||
|- | |- | ||
|12 | |12 | ||
|1421.955 | |1421.955 | ||
| | |1473.384 | ||
|1277.955 | |||
|1319.098 | |||
| | |||
| | |||
|} | |} | ||
Revision as of 05:21, 30 May 2021
12WTN is the equal division of the just perfect fifth into six parts of 116.9925 cents each alternated with a sequence of six equal steps of another interval between 100 and 133.333 cents. Its best tunings are related to the miracle temperament, which tempers out 225/224 and 1029/1024 in the 7-limit.
Optimal Intervals
| Minimum a | Maximum a | Minimum b | Maximum b | |
|---|---|---|---|---|
| 1 | 116.9925 | |||
| 2 | 233.985 | |||
| 3 | 350.9775 | |||
| 4 | 467.97 | |||
| 5 | 584.9625 | |||
| 6 | 701.955 | |||
| 7 | 821.955 | 830.526 | 797.955 | 804.812 |
| 8 | 941.955 | 959.098 | 893.955 | 907.669 |
| 9 | 1061.955 | 1087.67 | 989.955 | 1010.526 |
| 10 | 1181.955 | 1216.241 | 1085.955 | 1113.384 |
| 11 | 1301.955 | 1344.812 | 1181.955 | 1216.241 |
| 12 | 1421.955 | 1473.384 | 1277.955 | 1319.098 |