Canousmic temperaments: Difference between revisions

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== Satin ==

The satin temperament (94&217) uses 11/10 as a generator, three of them gives 4/3, and tempers out both the [[rainy comma]] and the canousma.

The satin temperament (94 & 217) uses 11/10 as a generator, three of them gives 4/3, and tempers out both the [[rainy comma]] and the canousma.

~~=== 5-limit ===~~

~~Subgroup: 2.3.5~~

~~[[Comma list]]: {{monzo| 104 -70 3 }}~~

~~[[Mapping]]: [{{val| 1 2 12 }}, {{val| 0 -3 -70 }}]~~

~~[[POTE generator]]: ~{{monzo|-34 23 -1}} = 165.907~~

~~{{Val list|legend=1| 94, 217, 528, 745, 1273 }}~~

~~[[Badness]]: 2.853049~~

~~=== 7-limit ===~~

Subgroup: 2.3.5.7

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== Superlimmal ==

The superlimmal temperament uses an ever slightly sharpened [[27/25|large limma]] as the generator, nine exceed the octave by [[126/125]]~~. It can be described as 80 & 311~~. It gets all the primes up to 29 reasonably covered, but still acceptible just as a 13-limit microtemperament, judging from its [[comma basis]]. The 80-tone [[MOS scale]] is presumably the place to start, and a 151-tone MOS is possible.

The superlimmal temperament (80 & 311) uses an ever slightly sharpened [[27/25|large limma]] as the generator, nine exceed the octave by [[126/125]]. It gets all the primes up to 29 reasonably covered, but still acceptible just as a 13-limit microtemperament, judging from its [[comma basis]]. The 80-tone [[MOS scale]] is presumably the place to start, and a 151-tone MOS is possible.

Subgroup: 2.3.5.7

@@ Line 16: / Line 16: @@
 == Satin ==
-The satin temperament (94&amp;217) uses 11/10 as a generator, three of them gives 4/3, and tempers out both the [[rainy comma]] and the canousma.
+The satin temperament (94 &amp; 217) uses 11/10 as a generator, three of them gives 4/3, and tempers out both the [[rainy comma]] and the canousma.
-=== 5-limit ===
-Subgroup: 2.3.5
-[[Comma list]]: {{monzo| 104 -70 3 }}
-[[Mapping]]: [{{val| 1 2 12 }}, {{val| 0 -3 -70 }}]
-[[POTE generator]]: ~{{monzo|-34 23 -1}} = 165.907
-{{Val list|legend=1| 94, 217, 528, 745, 1273 }}
-[[Badness]]: 2.853049
-=== 7-limit ===
 Subgroup: 2.3.5.7
@@ Line 110: / Line 96: @@
 == Superlimmal ==
-The superlimmal temperament uses an ever slightly sharpened [[27/25|large limma]] as the generator, nine exceed the octave by [[126/125]]. It can be described as 80 &amp; 311. It gets all the primes up to 29 reasonably covered, but still acceptible just as a 13-limit microtemperament, judging from its [[comma basis]]. The 80-tone [[MOS scale]] is presumably the place to start, and a 151-tone MOS is possible.
+The superlimmal temperament (80 &amp; 311) uses an ever slightly sharpened [[27/25|large limma]] as the generator, nine exceed the octave by [[126/125]]. It gets all the primes up to 29 reasonably covered, but still acceptible just as a 13-limit microtemperament, judging from its [[comma basis]]. The 80-tone [[MOS scale]] is presumably the place to start, and a 151-tone MOS is possible.
 Subgroup: 2.3.5.7