Ennealimmal

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

Scales

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