Ennealimmal: Difference between revisions

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== Scales ==
== Scales ==
* [[Ennealimmal27]] - proper [[18L 9s]]
* [[Ennealimmal27]] - proper [[18L 9s]]. Ninth-octave analog of haplotonic scale
* [[Ennealimmal45]] - improper [[27L 18s]]
* [[Ennealimmal45]] - improper [[27L 18s]]. Ninth-octave analog of mega-haplotonic scale
** [[Ennealimmal45trans]] - symmetric 5-limit transversal version
** [[Ennealimmal45trans]] - symmetric 5-limit transversal version
* [[Ennealimmal72]] - proper [[27L 45s]]
* [[Ennealimmal72]] - proper [[27L 45s]]. Ninth-octave analog of albitonic scale
* [[Ennealimmal99]] - proper [[72L 27s]]
* [[Ennealimmal99]] - proper [[72L 27s]]. Ninth-octave analog of chromatic scale
* [[Ennealimmal171]] - [[99L 72s]] scale. The boundary of propriety is [[270edo|270EDO]].
* [[Ennealimmal171]] - [[99L 72s]] scale. The boundary of propriety is [[270edo|270EDO]].



Revision as of 09:31, 5 May 2021

Ennealimmal temperament has a period of 1/9 octave and tempers out 2401/2400 and 4375/4374. EDOs that support ennealimmal include 27, 45, 72, 99, 171, 270, 441, and 612 EDOs.

See Ragismic microtemperaments #Ennealimmal for more technical data.

Ennealimmal extensions

Ennealimmal temperament has various extensions to the 11-limit. These are all members of the ennealimmal family, but in addition they are linear temperaments:

  • Ennealimmal (99e & 270) - tempering out 2401/2400, 4375/4374, 5632/5625
  • Ennealimnic (72 & 99e) - tempering out 243/242, 441/440, 4375/4356
  • Ennealiminal (72 & 171e) - tempering out 385/384, 1375/1372, 4375/4374
  • 171 & 270 - tempering out 2401/2400, 4375/4374, 131072/130977

Scales