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Line 41: Line 41:
POTE generator: ~3/2 = 692.514
POTE generator: ~3/2 = 692.514


Vals: {{Val list| 9, 12, 21, 33e, 45cde }}
Optimal GPV sequence: {{Val list| 9, 12, 21, 33e, 45cde }}


Badness: 0.020191
Badness: 0.020191


=== 13-limit ===
==== 13-limit ====
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 54: Line 54:
POTE generator: ~3/2 = 688.783
POTE generator: ~3/2 = 688.783


Vals: {{Val list| 9, 12f, 21, 33ef, 54bceeff }}
Optimal GPV sequence: {{Val list| 9, 12f, 21, 33ef, 54bceeff }}


Badness: 0.018448
Badness: 0.018448


=== Augustus ===
==== Augustus ====
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 67: Line 67:
POTE generator: ~3/2 = 685.356
POTE generator: ~3/2 = 685.356


Vals: {{Val list| 9, 12, 21f }}
Optimal GPV sequence: {{Val list| 9, 12, 21f }}


Badness: 0.022236
Badness: 0.022236
Line 95: Line 95:
POTE generator: ~3/2 = 711.177
POTE generator: ~3/2 = 711.177


Vals: {{Val list| 12, 15, 27e }}
Optimal GPV sequence: {{Val list| 12, 15, 27e }}


Badness: 0.019613
Badness: 0.019613
Line 108: Line 108:
POTE generator: ~3/2 = 712.013
POTE generator: ~3/2 = 712.013


Vals: {{Val list| 12f, 15, 27ef }}
Optimal GPV sequence: {{Val list| 12f, 15, 27ef }}


Badness: 0.020785
Badness: 0.020785
Line 121: Line 121:
POTE generator: ~3/2 = 712.609
POTE generator: ~3/2 = 712.609


Vals: {{Val list| 12, 15, 27e, 69bceef }}
Optimal GPV sequence: {{Val list| 12, 15, 27e, 69bceef }}


Badness: 0.022890
Badness: 0.022890
Line 134: Line 134:
POTE generator: ~3/2 = 709.677
POTE generator: ~3/2 = 709.677


Vals: {{Val list| 12f, 27e }}
Optimal GPV sequence: {{Val list| 12f, 27e }}


Badness: 0.023113
Badness: 0.023113
Line 147: Line 147:
POTE generator: ~3/2 = 714.150
POTE generator: ~3/2 = 714.150


Vals: {{Val list| 15, 27, 42 }}
Optimal GPV sequence: {{Val list| 15, 27, 42 }}


Badness: 0.035554
Badness: 0.035554
Line 179: Line 179:
POTE generator: ~3/2 = 722.663
POTE generator: ~3/2 = 722.663


Vals: {{Val list| 3de, 15, 48bce, 63bbcee, 78bbcee }}
Optimal GPV sequence: {{Val list| 3de, 15, 48bce, 63bbcee, 78bbcee }}


Badness: 0.031171
Badness: 0.031171
Line 207: Line 207:
POTE generator: ~3/2 = 680.042
POTE generator: ~3/2 = 680.042


Vals: {{Val list| 3, 9, 21de, 30bdde }}
Optimal GPV sequence: {{Val list| 3, 9, 21de, 30bdde }}


Badness: 0.037183
Badness: 0.037183
Line 235: Line 235:
POTE generator: ~3/2 = 714.304
POTE generator: ~3/2 = 714.304


Vals: {{Val list| 6, 12, 30de }}
Optimal GPV sequence: {{Val list| 6, 12, 30de }}


Badness: 0.038412
Badness: 0.038412
Line 248: Line 248:
POTE generator: ~3/2 = 710.005
POTE generator: ~3/2 = 710.005


Vals: {{Val list| 6f, 12f }}
Optimal GPV sequence: {{Val list| 6f, 12f }}


Badness: 0.035946
Badness: 0.035946
Line 276: Line 276:
POTE generator: ~28/27 = 45.788
POTE generator: ~28/27 = 45.788


Vals: {{Val list| 24, 27e, 51ce, 78cee }}
Optimal GPV sequence: {{Val list| 24, 27e, 51ce, 78cee }}


Badness: 0.038232
Badness: 0.038232
Line 289: Line 289:
POTE generator: ~28/27 = 46.250
POTE generator: ~28/27 = 46.250


Vals: {{Val list| 24, 27e, 51ce, 78cee }}
Optimal GPV sequence: {{Val list| 24, 27e, 51ce, 78cee }}


Badness: 0.030159
Badness: 0.030159
Line 319: Line 319:
POTE generator: ~7/6 = 247.068
POTE generator: ~7/6 = 247.068


Vals: {{Val list| 6, 9, 15, 24, 39, 63cd, 102ccdd }}
Optimal GPV sequence: {{Val list| 6, 9, 15, 24, 39, 63cd, 102ccdd }}


Badness: 0.026152
Badness: 0.026152
Line 327: Line 327:
* [http://chrisvaisvil.com/2-2-1-2-2-1-2-2-1-mode-of-15-edo/ 2-2-1-2-2-1-2-2-1 mode of 15 edo] [http://micro.soonlabel.com/15-ET/20130831_221of15.mp3 play] by [[Chris Vaisvil]]
* [http://chrisvaisvil.com/2-2-1-2-2-1-2-2-1-mode-of-15-edo/ 2-2-1-2-2-1-2-2-1 mode of 15 edo] [http://micro.soonlabel.com/15-ET/20130831_221of15.mp3 play] by [[Chris Vaisvil]]


=== 13-limit ===
==== 13-limit ====
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 336: Line 336:
POTE generator: ~7/6 = 248.313
POTE generator: ~7/6 = 248.313


Vals: {{Val list| 6, 9, 15, 24, 63cdf, 87cddff }}
Optimal GPV sequence: {{Val list| 6, 9, 15, 24, 63cdf, 87cddff }}


Badness: 0.020248
Badness: 0.020248
Line 343: Line 343:
[[triphi|Triforce(9) with L:s = phi]]
[[triphi|Triforce(9) with L:s = phi]]


=== Semitriforce ===
==== Semitriforce ====
Subgroup: 2.3.5.7.13
Subgroup: 2.3.5.7.11.13


Comma list: 49/48, 56/55, 77/75, 507/500
Comma list: 49/48, 56/55, 77/75, 507/500
Line 352: Line 352:
POTE generator: ~7/6 = 246.642
POTE generator: ~7/6 = 246.642


Vals: {{Val list| 6, 24, 54cd, 78cd, 102ccddf }}
Optimal GPV sequence: {{Val list| 6, 24, 54cd, 78cd, 102ccddf }}


Badness: 0.059160
Badness: 0.059160
Line 380: Line 380:
POTE generator: ~21/20 = 51.655
POTE generator: ~21/20 = 51.655


Vals: {{Val list| 21, 24, 69cd, 93ccdd }}
Optimal GPV sequence: {{Val list| 21, 24, 69cd, 93ccdd }}


Badness: 0.068062
Badness: 0.068062
Line 393: Line 393:
POTE generator: ~21/20 = 51.548
POTE generator: ~21/20 = 51.548


Vals: {{Val list| 21, 24, 69cdf, 93ccddf }}
Optimal GPV sequence: {{Val list| 21, 24, 69cdf, 93ccddf }}


Badness: 0.042289
Badness: 0.042289
Line 434: Line 434:
POTE generator: ~8/7 = 223.019
POTE generator: ~8/7 = 223.019


Vals: {{Val list| 6, 21, 27e }}
Optimal GPV sequence: {{Val list| 6, 21, 27e }}


Badness: 0.059192
Badness: 0.059192
Line 447: Line 447:
POTE generator: ~8/7 = 223.449
POTE generator: ~8/7 = 223.449


Vals: {{Val list| 6, 21, 27e }}
Optimal GPV sequence: {{Val list| 6, 21, 27e }}


Badness: 0.042323
Badness: 0.042323
Line 475: Line 475:
POTE generator: ~15/14 = 144.780
POTE generator: ~15/14 = 144.780


Vals: {{Val list| 24, 42e, 66ce, 108bccee }}
Optimal GPV sequence: {{Val list| 24, 42e, 66ce, 108bccee }}


Badness: 0.080738
Badness: 0.080738
Line 505: Line 505:
POTE generator: ~3/2 = 706.726
POTE generator: ~3/2 = 706.726


Vals: {{Val list| 9, 27e, 36, 63cee }}
Optimal GPV sequence: {{Val list| 9, 27e, 36, 63cee }}


Badness: 0.034861
Badness: 0.034861
Line 518: Line 518:
POTE generator: ~3/2 = 706.889
POTE generator: ~3/2 = 706.889


Vals: {{Val list| 9, 27e, 36, 63cee }}
Optimal GPV sequence: {{Val list| 9, 27e, 36, 63cee }}


Badness: 0.024143
Badness: 0.024143
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