Ennealimmal: Difference between revisions

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Created page with "{{Stub}} '''Ennealimmal''' is a 7-limit rank-2 microtemperament that tempers out the two smallest 7-limit superparticulars: * 2401/2400 = S49, the difference between 49/40 neutral third and its 3/2-complement 60/49 * 4375/4374, the difference between (27/25)<sup>2</sup> and 7/6 This implies a period of 1\9 (representing 27/25) and a generator of 49/40. {{Navbox regtemp}} {{Cat|Temperaments}}"
 
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* 2401/2400 = [[Square-superparticular|S49]], the difference between 49/40 neutral third and its 3/2-complement 60/49
* 2401/2400 = [[Square-superparticular|S49]], the difference between 49/40 neutral third and its 3/2-complement 60/49
* 4375/4374, the difference between (27/25)<sup>2</sup> and 7/6
* 4375/4374, the difference between (27/25)<sup>2</sup> and 7/6
This implies a period of 1\9 (representing 27/25) and a generator of 49/40.
This implies a period of 1\9 (representing 27/25) and a generator of 49/40. The generator can also be taken to be 5/3.
{{Navbox regtemp}}
{{Navbox regtemp}}
{{Cat|Temperaments}}
{{Cat|Temperaments}}

Revision as of 16:46, 7 April 2026

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Ennealimmal is a 7-limit rank-2 microtemperament that tempers out the two smallest 7-limit superparticulars:

  • 2401/2400 = S49, the difference between 49/40 neutral third and its 3/2-complement 60/49
  • 4375/4374, the difference between (27/25)2 and 7/6

This implies a period of 1\9 (representing 27/25) and a generator of 49/40. The generator can also be taken to be 5/3.