Aberschismic temperaments: Difference between revisions

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=Tricot=

The generator for tricot temperament is the real cube root of third harmonic, tuned between 63/44 and 13/9. Tricot temperament can be described as 53&70 temperament, tempering out the [[tricot comma]], |39 -29 3> in the 5-limit, 2430/2401 (nuwell comma) and 5120/5103 in the 7-limit, 99/98 and 121/120 in the 11-limit, 169/168, 352/351, 640/637, and 729/728 in the 13-limit.

The generator for tricot temperament is the real cube root of third harmonic, 3^(1/3), tuned between 63/44 and 13/9. Tricot temperament can be described as 53&70 temperament, tempering out the [[tricot comma]], |39 -29 3> in the 5-limit, 2430/2401 (nuwell comma) and 5120/5103 in the 7-limit, 99/98 and 121/120 in the 11-limit, 169/168, 352/351, 640/637, and 729/728 in the 13-limit.

==5-limit==

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POTE generator: ~59049/40960 = 634.012

Map: [[<1 0 -13|, <0 3 29|]

Map: [<1 0 -13|, <0 3 29|]

Wedgie: <<3 29 39||

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POTE generator: ~81/56 = 634.026

Map: [[<1 0 -13 -3|, <0 3 29 11|]

Map: [<1 0 -13 -3|, <0 3 29 11|]

Wedgie: <<3 29 11 39 9 -56||

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POTE generator: ~63/44 = 634.027

Map: [[<1 0 -13 -3 -5|, <0 3 29 11 16|]

Map: [<1 0 -13 -3 -5|, <0 3 29 11 16|]

EDOs: 17c, 36ce, 53, 70, 89ce

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POTE generator: ~13/9 = 634.012

Map: [[<1 0 -13 -3 -5 0|, <0 3 29 11 16 7|]

Map: [<1 0 -13 -3 -5 0|, <0 3 29 11 16 7|]

EDOs: 17c, 36ce, 53, 70, 89ce

@@ Line 334: / Line 334: @@
 =Tricot=
-The generator for tricot temperament is the real cube root of third harmonic, tuned between 63/44 and 13/9. Tricot temperament can be described as 53&amp;70 temperament, tempering out the [[tricot comma]], |39 -29 3&gt; in the 5-limit, 2430/2401 (nuwell comma) and 5120/5103 in the 7-limit, 99/98 and 121/120 in the 11-limit, 169/168, 352/351, 640/637, and 729/728 in the 13-limit.
+The generator for tricot temperament is the real cube root of third harmonic, 3^(1/3), tuned between 63/44 and 13/9. Tricot temperament can be described as 53&amp;70 temperament, tempering out the [[tricot comma]], |39 -29 3&gt; in the 5-limit, 2430/2401 (nuwell comma) and 5120/5103 in the 7-limit, 99/98 and 121/120 in the 11-limit, 169/168, 352/351, 640/637, and 729/728 in the 13-limit.
 ==5-limit==
@@ Line 341: / Line 341: @@
 POTE generator: ~59049/40960 = 634.012
-Map: [[&lt;1 0 -13|, &lt;0 3 29|]
+Map: [&lt;1 0 -13|, &lt;0 3 29|]
 Wedgie: &lt;&lt;3 29 39||
@@ Line 354: / Line 354: @@
 POTE generator: ~81/56 = 634.026
-Map: [[&lt;1 0 -13 -3|, &lt;0 3 29 11|]
+Map: [&lt;1 0 -13 -3|, &lt;0 3 29 11|]
 Wedgie: &lt;&lt;3 29 11 39 9 -56||
@@ Line 367: / Line 367: @@
 POTE generator: ~63/44 = 634.027
-Map: [[&lt;1 0 -13 -3 -5|, &lt;0 3 29 11 16|]
+Map: [&lt;1 0 -13 -3 -5|, &lt;0 3 29 11 16|]
 EDOs: 17c, 36ce, 53, 70, 89ce
@@ Line 378: / Line 378: @@
 POTE generator: ~13/9 = 634.012
-Map: [[&lt;1 0 -13 -3 -5 0|, &lt;0 3 29 11 16 7|]
+Map: [&lt;1 0 -13 -3 -5 0|, &lt;0 3 29 11 16 7|]
 EDOs: 17c, 36ce, 53, 70, 89ce