Ploidacot/Omega-enneacot: Difference between revisions
Created page with "{{Breadcrumb}} {{Infobox ploidacot|Ploids=1|Shears=8|Cots=9|Pergen=[P8, P4/9]|Forms=21, 22, 43|Title=Omega-enneacot|Wedgie=9}} '''Omega-enneacot''' is a temperament archetype where the generator is a quartertone, nine of which make a perfect fourth of 4/3, and the period is a 2/1 octave. Omega-enneacot temperaments also include all omega-tricot intervals, as the omega-tricot generator is split further into three. Omega-enneacot tempera..." Tags: Mobile edit Mobile web edit |
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=== Escapade === | === Escapade === | ||
[[Escapade]] is the standard [[regular temperament]] interpretation of the Noleta scale as an ET. The generator represents [[33/32]], two of them give [[16/15]], three of them give [[11/10]], seven of them give [[5/4]], and ten of them give [[11/8]]. | [[Escapade]] is the standard [[regular temperament]] interpretation of the Noleta scale as an ET. The generator represents [[33/32]], two of them give [[16/15]], three of them give [[11/10]], seven of them give [[5/4]], and ten of them give [[11/8]]. | ||
Latest revision as of 06:38, 16 July 2026
| Pergen | [P8, P4/9] |
| Numeral form | 8-sheared 9-cot |
| Pure generator size | 55.34 ¢ |
| Pure period size | 1200 ¢ |
| Forms | 21, 22, 43 |
| Characteristic multival entry | 9 |
Omega-enneacot is a temperament archetype where the generator is a quartertone, nine of which make a perfect fourth of 4/3, and the period is a 2/1 octave. Omega-enneacot temperaments also include all omega-tricot intervals, as the omega-tricot generator is split further into three.
Omega-enneacot temperaments generate the 21L 1s MOS scale, and are mostly famous in the form of the Noleta scale, which is usually perceived as multiple independent chains of omega-enneacot generators offset by octaves.
Intervals and notation
Due to dividing the fourth into so many steps, standard notation becomes almost useless for omega-enneacot. Regardless, notation has been provided for where monocot intervals appear in this system.
| # | Cents | Notation | Name |
|---|---|---|---|
| −11 | 591.278 | ||
| −10 | 646.617 | ||
| −9 | 701.955 | G | perfect fifth |
| −8 | 757.293 | ||
| −7 | 812.632 | ||
| −6 | 867.970 | ||
| −5 | 923.308 | ||
| −4 | 978.647 | ||
| −3 | 1033.985 | ||
| −2 | 1089.323 | ||
| −1 | 1144.662 | ||
| 0 | 0.000 | C | perfect unison |
| 1 | 55.338 | ||
| 2 | 110.677 | ||
| 3 | 166.015 | ||
| 4 | 221.353 | ||
| 5 | 276.692 | ||
| 6 | 332.030 | ||
| 7 | 387.368 | ||
| 8 | 442.707 | ||
| 9 | 498.045 | F | perfect fourth |
| 10 | 553.383 | ||
| 11 | 608.722 |
Temperament interpretations
Escapade
Escapade is the standard regular temperament interpretation of the Noleta scale as an ET. The generator represents 33/32, two of them give 16/15, three of them give 11/10, seven of them give 5/4, and ten of them give 11/8.