Unidec: Difference between revisions
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Cmloegcmluin (talk | contribs) →Spectrum of unidec/hendec tunings by eigenmonzos: improve and standardize tuning spectra tables |
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See [[Gamelismic clan #Unidec]] for | '''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. | ||
There are two viable 13-limit extensions: '''hendec''' and '''ekadash'''. | |||
See [[Gamelismic clan #Unidec]] for technical details. | |||
== Chords == | == Chords == | ||
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{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|- | |- | ||
! [[eigenmonzo|eigenmonzo<br>(unchanged interval]] | ! [[eigenmonzo|eigenmonzo<br>(unchanged interval)]] | ||
! | ! Generator (¢) | ||
! | ! Comments | ||
|- | |- | ||
| 16/13 | | 16/13 | ||
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[[Category:Unidec| ]] <!-- main article --> | [[Category:Unidec| ]] <!-- main article --> | ||
[[Category:Gamelismic]] | [[Category:Gamelismic clan]] | ||
[[Category:Ragismic]] | [[Category:Ragismic microtemperaments]] | ||
{{IoT}} | {{IoT}} | ||
Revision as of 12:36, 11 November 2021
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.
There are two viable 13-limit extensions: hendec and ekadash.
See Gamelismic clan #Unidec for technical details.
Chords
Scales
Tuning spectrum
| eigenmonzo (unchanged interval) |
Generator (¢) | Comments |
|---|---|---|
| 16/13 | 179.736 | |
| 14/13 | 182.075 | |
| 13/11 | 182.158 | |
| 10/9 | 182.404 | |
| 14/11 | 182.492 | |
| 4/3 | 183.007 | |
| 16/15 | 183.043 | |
| 5/4 | 183.062 | 5-, 13- and 15-odd-limit minimax |
| 6/5 | 183.128 | |
| 15/11 | 183.152 | |
| 11/9 | 183.161 | |
| 15/14 | 183.187 | |
| 9/7 | 183.208 | 9- and 11-odd-limit minimax |
| 11/10 | 183.215 | |
| 12/11 | 183.263 | |
| 7/5 | 183.270 | 7-odd-limit minimax |
| 7/6 | 183.359 | |
| 15/13 | 183.484 | |
| 18/13 | 183.662 | |
| 11/8 | 183.773 | |
| 13/10 | 183.802 | |
| 8/7 | 184.413 | |
| 13/12 | 184.643 |