Unidec: Difference between revisions
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m Cleanup |
→Tunings: invert the gen and simplify the ratios |
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| Line 19: | Line 19: | ||
! Comments | ! Comments | ||
|- | |- | ||
| | | 13/12 | ||
| | | 415.357 | ||
| | | | ||
|- | |- | ||
| | | 7/4 | ||
| | | 415.587 | ||
| | | | ||
|- | |- | ||
| 13/ | | 13/10 | ||
| | | 416.198 | ||
| | | | ||
|- | |- | ||
| | | 11/8 | ||
| | | 416.227 | ||
| | | | ||
|- | |- | ||
| | | 13/9 | ||
| | | 416.338 | ||
| | | | ||
|- | |- | ||
| | | 15/13 | ||
| | | 416.516 | ||
| | | | ||
|- | |- | ||
| | | 7/6 | ||
| | | 416.641 | ||
| | | | ||
|- | |- | ||
| 5 | | 7/5 | ||
| | | 416.730 | ||
| | | 7-odd-limit minimax | ||
|- | |- | ||
| 6 | | 11/6 | ||
| | | 416.737 | ||
| | | | ||
|- | |- | ||
| | | 11/10 | ||
| | | 416.785 | ||
| | | | ||
|- | |- | ||
| | | 9/7 | ||
| | | 416.792 | ||
| | | 9- and 11-odd-limit minimax | ||
|- | |- | ||
| 15/14 | | 15/14 | ||
| | | 416.813 | ||
| | | | ||
|- | |- | ||
| 9 | | 11/9 | ||
| | | 416.839 | ||
| | | | ||
|- | |- | ||
| 11 | | 15/11 | ||
| | | 416.848 | ||
| | | | ||
|- | |- | ||
| | | 5/3 | ||
| | | 416.872 | ||
| | | | ||
|- | |- | ||
| | | 5/4 | ||
| | | 416.938 | ||
| | | 5-, 13- and 15-odd-limit minimax | ||
|- | |- | ||
| | | 15/8 | ||
| | | 416.957 | ||
| | | | ||
|- | |- | ||
| | | 3/2 | ||
| | | 416.993 | ||
| | | | ||
|- | |- | ||
| | | 11/7 | ||
| | | 417.508 | ||
| | | | ||
|- | |- | ||
| | | 9/5 | ||
| | | 417.596 | ||
| | | | ||
|- | |- | ||
| 13/ | | 13/11 | ||
| | | 417.842 | ||
| | | | ||
|- | |- | ||
| | | 13/7 | ||
| | | 417.925 | ||
| | | | ||
|- | |- | ||
| 13/ | | 13/8 | ||
| | | 420.264 | ||
| | | | ||
|} | |} | ||
Revision as of 13:26, 16 November 2025
Unidec is the regular temperament defined in the 7-limit by tempering out 1029/1024, the gamelisma, and 4375/4374, the ragisma, with the 11-limit extension adding 385/384 or 441/440 to the comma list, featuring a period of a semioctave and a generator of a classic whole tone.
Unidec has two viable 13-limit extensions: hendec and ekadash.
See Gamelismic clan #Unidec for technical data.
Chords and harmony
Scales
Tunings
Tuning spectrum
| Eigenmonzo (unchanged interval) |
Generator (¢) | Comments |
|---|---|---|
| 13/12 | 415.357 | |
| 7/4 | 415.587 | |
| 13/10 | 416.198 | |
| 11/8 | 416.227 | |
| 13/9 | 416.338 | |
| 15/13 | 416.516 | |
| 7/6 | 416.641 | |
| 7/5 | 416.730 | 7-odd-limit minimax |
| 11/6 | 416.737 | |
| 11/10 | 416.785 | |
| 9/7 | 416.792 | 9- and 11-odd-limit minimax |
| 15/14 | 416.813 | |
| 11/9 | 416.839 | |
| 15/11 | 416.848 | |
| 5/3 | 416.872 | |
| 5/4 | 416.938 | 5-, 13- and 15-odd-limit minimax |
| 15/8 | 416.957 | |
| 3/2 | 416.993 | |
| 11/7 | 417.508 | |
| 9/5 | 417.596 | |
| 13/11 | 417.842 | |
| 13/7 | 417.925 | |
| 13/8 | 420.264 |
Music
- "Hypnocloudsmack 2" from Newbeams