34ed7: Difference between revisions

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== 34ed7 as a generator ==

34ED7 can also be thought of as a [[generator]] of the 11-limit temperament which tempers out 896/891, 1375/1372, and 4375/4356, which is a [[cluster temperament]] with 12 clusters of notes in an octave. This temperament is supported by [[12edo|12EDO]], [[109edo|109EDO]], and [[121edo|121EDO]] among others.

34ED7 can also be thought of as a [[generator]] of the 11-limit temperament which tempers out 896/891, 1375/1372, and 4375/4356, which is a [[cluster temperament]] with 12 clusters of notes in an octave (''quintupole'' temperament). This temperament is supported by [[12edo|12EDO]], [[109edo|109EDO]], and [[121edo|121EDO]] among others.

'''Trisa-quingu (12&121)'''

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Vals: 12, 85, 97, 109, 121, 133, 278c, 411bc, 544bc

Badness: 0.444506

'''Quintupole (12&121)'''

'''7-limit'''

Comma list: 4000/3969, 458752/455625

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'''13-limit'''

Comma list: 352/351, 364/363, 625/624, 2704/2695

Mapping: [{{va|1 2 1 0 -1 -2}}, {{val|0 -5 16 34 54 69|]

Mapping: [{{val|1 2 1 0 -1 -2}}, {{val|0 -5 16 34 54 69}}]

POTE generator: ~55/52 = 99.165

Vals: 12f, 109, 121

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'''17-limit'''

Comma list: 256/255, 352/351, 364/363, 375/374, 442/441

Mapping: [{{va|1 2 1 0 -1 -2 5}}, {{val|0 -5 16 34 54 69 -11|]

Mapping: [{{val|1 2 1 0 -1 -2 5}}, {{val|0 -5 16 34 54 69 -11}}]

POTE generator: ~18/17 = 99.172

Vals: 12f, 109, 121

@@ Line 185: / Line 185: @@
 == 34ed7 as a generator ==
-ED7 can also be thought of as a [[generator]] of the 11-limit temperament which tempers out 896/891, 1375/1372, and 4375/4356, which is a [[cluster temperament]] with 12 clusters of notes in an octave. This temperament is supported by [[12edo|12EDO]], [[109edo|109EDO]], and [[121edo|121EDO]] among others.
+ED7 can also be thought of as a [[generator]] of the 11-limit temperament which tempers out 896/891, 1375/1372, and 4375/4356, which is a [[cluster temperament]] with 12 clusters of notes in an octave (''quintupole'' temperament). This temperament is supported by [[12edo|12EDO]], [[109edo|109EDO]], and [[121edo|121EDO]] among others.
 '''<font style="font-size: 1.35em">Trisa-quingu (12&amp;121)</font>'''<br>
@@ Line 194: / Line 194: @@
 Vals: 12, 85, 97, 109, 121, 133, 278c, 411bc, 544bc<br>
 Badness: 0.444506<br><br>
+'''<font style="font-size: 1.35em">Quintupole (12&amp;121)</font>'''<br>
 '''<font style="font-size: 1.2em">7-limit</font>'''<br>
 Comma list: 4000/3969, 458752/455625<br>
@@ Line 208: / Line 209: @@
 '''<font style="font-size: 1.2em">13-limit</font>'''<br>
 Comma list: 352/351, 364/363, 625/624, 2704/2695<br>
-Mapping: [{{va|1 2 1 0 -1 -2}}, {{val|0 -5 16 34 54 69|]<br>
+Mapping: [{{val|1 2 1 0 -1 -2}}, {{val|0 -5 16 34 54 69}}]<br>
 POTE generator: ~55/52 = 99.165<br>
 Vals: 12f, 109, 121<br>
@@ Line 214: / Line 215: @@
 '''<font style="font-size: 1.2em">17-limit</font>'''<br>
 Comma list: 256/255, 352/351, 364/363, 375/374, 442/441<br>
-Mapping: [{{va|1 2 1 0 -1 -2 5}}, {{val|0 -5 16 34 54 69 -11|]<br>
+Mapping: [{{val|1 2 1 0 -1 -2 5}}, {{val|0 -5 16 34 54 69 -11}}]<br>
 POTE generator: ~18/17 = 99.172<br>
 Vals: 12f, 109, 121<br>