Ennealimmal: Difference between revisions
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See [[Ragismic microtemperaments #Ennealimmal]] for more technical data. | 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 == | == Scales == | ||
Revision as of 08:01, 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
- Ennealimmal27 - proper 18L 9s
- Ennealimmal45 - improper 27L 18s
- Ennealimmal45trans - symmetric 5-limit transversal version
- Ennealimmal72 - proper 27L 45s
- Ennealimmal99 - proper 72L 27s
- Ennealimmal171 - 99L 72s scale. The boundary of propriety is 270EDO.