Archytas clan: Difference between revisions
+subgroup data |
+archy and supra |
||
| Line 3: | Line 3: | ||
Adding 50/49 to the list of commas gives pajara, 36/35 gives dominant, 16/15 gives mother, 126/125 gives augene, 28/27 gives blacksmith, 245/243 gives superpyth, 250/243 gives porcupine, 686/675 gives beatles, 360/343 gives schism, 3125/3087 gives passion, 2430/2401 gives quasisuper, and 4375/4374 gives modus. | Adding 50/49 to the list of commas gives pajara, 36/35 gives dominant, 16/15 gives mother, 126/125 gives augene, 28/27 gives blacksmith, 245/243 gives superpyth, 250/243 gives porcupine, 686/675 gives beatles, 360/343 gives schism, 3125/3087 gives passion, 2430/2401 gives quasisuper, and 4375/4374 gives modus. | ||
Discussed under | Discussed under their respective 5-limit families are [[Father family #Mother|mother]], [[Meantone family #Dominant|dominant]], [[Augmented family #Augene|augene]], [[Porcupine family|porcupine]], [[Diaschismic family #Pajara|pajara]], [[Tetracot family #Modus|modus]], and [[Immunity family #Immunized|immunized]]. The rest are considered below. | ||
= Archy = | |||
Period: 1\1 | |||
Optimal ([[POTE]]) generator: ~3/2 = 709.321 | |||
EDO generators: [[17edo|10\17]], [[22edo|13\22]], [[27edo|16\27]], [[39edo|23\39]], [[49edo|29\49]] | |||
Scales (Scala files): [[archy5]], [[archy7]], [[archy12]] | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | |||
<div style="line-height:1.6;">Technical data</div> | |||
<div class="mw-collapsible-content"> | |||
Subgroup: 2.3.7 | |||
Comma list: 64/63 | |||
Sval mapping: [{{val| 1 0 6 }}, {{val| 0 1 -2 }}] | |||
Sval mapping generators: ~2, ~3 | |||
Gencom mapping: [{{val| 1 1 0 4 }}, {{val| 0 1 0 -2 }}] | |||
Gencom: [2 3/2; 64/63] | |||
{{Val list|legend=1| 2, 3, 5, 12, 17, 22 }} | |||
</div></div> | |||
== Supra == | |||
Period: 1\1 | |||
Optimal ([[POTE]]) generator: ~3/2 = 707.192 | |||
EDO generators: [[17edo|10\17]], [[22edo|13\22]], [[27edo|16\27]], [[39edo|23\39]], [[49edo|29\49]] | |||
Scales (Scala files): [[supra7]], [[supra12]] | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | |||
<div style="line-height:1.6;">Technical data</div> | |||
<div class="mw-collapsible-content"> | |||
Subgroup: 2.3.7.11 | |||
Comma list: 64/63, 99/98 | |||
Sval mapping: [{{val| 1 0 6 13 }}, {{val| 0 1 -2 -6 }}] | |||
Sval mapping generators: ~2, ~3 | |||
Gencom mapping: [{{val| 1 1 0 4 7 }}, {{val| 0 1 0 -2 -6 }}] | |||
Gencom: [2 3/2; 64/63 99/98] | |||
{{Val list|legend=1| 5, 12, 17, 39d, 56d }} | |||
</div></div> | |||
= Blacksmith = | = Blacksmith = | ||