Archytas clan: Difference between revisions

Archy: update keys and OGPV sequence
Cmloegcmluin (talk | contribs)
"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
Line 32: Line 32:
[[Optimal tuning]] ([[POTE]]): ~3/2 = 709.321
[[Optimal tuning]] ([[POTE]]): ~3/2 = 709.321


{{Val list|legend=1| 2, 3, 5, 12, 17, 22, 137bdd, 159bddd, 181bbddd }}
{{Optimal ET sequence|legend=1| 2, 3, 5, 12, 17, 22, 137bdd, 159bddd, 181bbddd }}


Scales: [[archy5]], [[archy7]], [[archy12]]
Scales: [[archy5]], [[archy7]], [[archy12]]
Line 51: Line 51:
Optimal tuning (POTE): ~3/2 = 707.192
Optimal tuning (POTE): ~3/2 = 707.192


Optimal GPV sequence: {{Val list| 5, 12, 17, 39d, 56d }}
{{Optimal ET sequence|legend=1| 5, 12, 17, 39d, 56d }}


Scales: [[supra7]], [[supra12]]
Scales: [[supra7]], [[supra12]]
Line 70: Line 70:
Optimal tuning (POTE): ~3/2 = 706.137
Optimal tuning (POTE): ~3/2 = 706.137


Optimal GPV sequence: {{Val list| 12f, 17 }}
{{Optimal ET sequence|legend=1| 12f, 17 }}


Scales: [[supra7]], [[supra12]]
Scales: [[supra7]], [[supra12]]
Line 89: Line 89:
Optimal tuning (POTE): ~11/9 = 353.958
Optimal tuning (POTE): ~11/9 = 353.958


Optimal GPV sequence: {{Val list| 7, 10, 17, 44e, 61de }}
{{Optimal ET sequence|legend=1| 7, 10, 17, 44e, 61de }}


Scales: [[suhajira7]], [[suhajira10]], [[suhajira17]]
Scales: [[suhajira7]], [[suhajira10]], [[suhajira17]]
Line 108: Line 108:
Optimal tuning (POTE): ~11/9 = 353.775
Optimal tuning (POTE): ~11/9 = 353.775


Optimal GPV sequence: {{Val list| 7, 10, 17, 44e, 61de }}
{{Optimal ET sequence|legend=1| 7, 10, 17, 44e, 61de }}


Scales: [[suhajira7]], [[suhajira10]], [[suhajira17]]
Scales: [[suhajira7]], [[suhajira10]], [[suhajira17]]
Line 125: Line 125:
[[POTE generator]]: ~3/2 = 710.078
[[POTE generator]]: ~3/2 = 710.078


{{Val list|legend=1| 5, 17, 22, 49, 120b, 169bbc }}
{{Optimal ET sequence|legend=1| 5, 17, 22, 49, 120b, 169bbc }}


[[Badness]]: 0.135141
[[Badness]]: 0.135141
Line 140: Line 140:
[[POTE generator]]: ~3/2 = 710.291
[[POTE generator]]: ~3/2 = 710.291


{{Val list|legend=1| 5, 17, 22, 27, 49 }}
{{Optimal ET sequence|legend=1| 5, 17, 22, 27, 49 }}


[[Badness]]: 0.032318
[[Badness]]: 0.032318
Line 153: Line 153:
POTE generator: ~3/2 = 710.175
POTE generator: ~3/2 = 710.175


Optimal GPV sequence: {{Val list| 22, 27e, 49 }}
{{Optimal ET sequence|legend=1| 22, 27e, 49 }}


Badness: 0.024976
Badness: 0.024976
Line 166: Line 166:
POTE generator: ~3/2 = 710.479
POTE generator: ~3/2 = 710.479


Optimal GPV sequence: {{Val list| 22, 27e, 49, 76bcde }}
{{Optimal ET sequence|legend=1| 22, 27e, 49, 76bcde }}


Badness: 0.024673
Badness: 0.024673
Line 179: Line 179:
POTE generator: ~16/13 = 355.036
POTE generator: ~16/13 = 355.036


Optimal GPV sequence: {{Val list| 17e, 27e, 44, 71d }}
{{Optimal ET sequence|legend=1| 17e, 27e, 44, 71d }}


Badness: 0.049183
Badness: 0.049183
Line 192: Line 192:
POTE generator: ~3/2 = 709.495
POTE generator: ~3/2 = 709.495


Optimal GPV sequence: {{Val list| 5, 12c, 17, 22 }}
{{Optimal ET sequence|legend=1| 5, 12c, 17, 22 }}


Badness: 0.032768
Badness: 0.032768
Line 205: Line 205:
POTE generator: ~3/2 = 708.703
POTE generator: ~3/2 = 708.703


Optimal GPV sequence: {{Val list| 17, 22, 83cdf }}
{{Optimal ET sequence|legend=1| 17, 22, 83cdf }}


Badness: 0.036336
Badness: 0.036336
Line 220: Line 220:
[[POTE generator]]: ~3/2 = 708.328
[[POTE generator]]: ~3/2 = 708.328


{{Val list|legend=1| 17c, 22, 61d }}
{{Optimal ET sequence|legend=1| 17c, 22, 61d }}


[[Badness]]: 0.063794
[[Badness]]: 0.063794
Line 235: Line 235:
POTE generator: ~3/2 = 708.205
POTE generator: ~3/2 = 708.205


Optimal GPV sequence: {{Val list| 17c, 22, 39d, 61d }}
{{Optimal ET sequence|legend=1| 17c, 22, 39d, 61d }}


Badness: 0.032203
Badness: 0.032203
Line 248: Line 248:
POTE generator: ~3/2 = 708.004
POTE generator: ~3/2 = 708.004


Optimal GPV sequence: {{Val list| 17c, 22, 39d, 61df, 100bcdf }}
{{Optimal ET sequence|legend=1| 17c, 22, 39d, 61df, 100bcdf }}


Badness: 0.030219
Badness: 0.030219
Line 261: Line 261:
POTE generator: ~3/2 = 709.021
POTE generator: ~3/2 = 709.021


Optimal GPV sequence: {{Val list| 5ce, 17ce, 22 }}
{{Optimal ET sequence|legend=1| 5ce, 17ce, 22 }}


Badness: 0.083490
Badness: 0.083490
Line 278: Line 278:
[[POTE generator]]: ~3/2 = 713.651
[[POTE generator]]: ~3/2 = 713.651


{{Val list|legend=1| 5, 32, 37 }}
{{Optimal ET sequence|legend=1| 5, 32, 37 }}


[[Badness]]: 0.108466
[[Badness]]: 0.108466
Line 291: Line 291:
POTE generator: ~3/2 = 713.395
POTE generator: ~3/2 = 713.395


Optimal GPV sequence: {{Val list| 5, 32, 37 }}
{{Optimal ET sequence|legend=1| 5, 32, 37 }}


Badness: 0.068238
Badness: 0.068238
Line 304: Line 304:
POTE generator: ~3/2 = 713.500
POTE generator: ~3/2 = 713.500


Optimal GPV sequence: {{Val list| 5, 32, 37 }}
{{Optimal ET sequence|legend=1| 5, 32, 37 }}


Badness: 0.049172
Badness: 0.049172
Line 317: Line 317:
POTE generator: ~3/2 = 713.791
POTE generator: ~3/2 = 713.791


Optimal GPV sequence: {{Val list| 5e, 32e, 37, 79bce, 116bbce }}
{{Optimal ET sequence|legend=1| 5e, 32e, 37, 79bce, 116bbce }}


Badness: 0.078068
Badness: 0.078068
Line 330: Line 330:
POTE generator: ~3/2 = 713.811
POTE generator: ~3/2 = 713.811


Optimal GPV sequence: {{Val list| 5e, 32e, 37, 79bcef, 116bbcef }}
{{Optimal ET sequence|legend=1| 5e, 32e, 37, 79bcef, 116bbcef }}


Badness: 0.045653
Badness: 0.045653
Line 347: Line 347:
[[POTE generator]]: ~3/2 = 701.556
[[POTE generator]]: ~3/2 = 701.556


{{Val list|legend=1| 12, 41d, 53d }}
{{Optimal ET sequence|legend=1| 12, 41d, 53d }}


[[Badness]]: 0.056648
[[Badness]]: 0.056648
Line 360: Line 360:
POTE generator: ~3/2 = 702.136
POTE generator: ~3/2 = 702.136


Optimal GPV sequence: {{Val list| 12, 29de, 41de }}
{{Optimal ET sequence|legend=1| 12, 29de, 41de }}


Badness: 0.037482
Badness: 0.037482
Line 377: Line 377:
[[POTE generator]]: ~49/40 = 355.904
[[POTE generator]]: ~49/40 = 355.904


{{Val list|legend=1| 10, 17c, 27, 64b, 91bcd, 118bcd }}
{{Optimal ET sequence|legend=1| 10, 17c, 27, 64b, 91bcd, 118bcd }}


[[Badness]]: 0.045872
[[Badness]]: 0.045872
Line 393: Line 393:
POTE generator: ~49/40 = 356.140
POTE generator: ~49/40 = 356.140


Optimal GPV sequence: {{Val list| 27e, 37, 64be, 91bcde }}
{{Optimal ET sequence|legend=1| 27e, 37, 64be, 91bcde }}


Badness: 0.045639
Badness: 0.045639
Line 406: Line 406:
POTE generator: ~16/13 = 356.229
POTE generator: ~16/13 = 356.229


Optimal GPV sequence: {{Val list| 27e, 37, 64be }}
{{Optimal ET sequence|legend=1| 27e, 37, 64be }}


Badness: 0.030161
Badness: 0.030161
Line 419: Line 419:
POTE generator: ~11/9 = 355.419
POTE generator: ~11/9 = 355.419


Optimal GPV sequence: {{Val list| 10, 17c, 27e }}
{{Optimal ET sequence|legend=1| 10, 17c, 27e }}


Badness: 0.032863
Badness: 0.032863
Line 432: Line 432:
POTE generator: ~11/9 = 355.456
POTE generator: ~11/9 = 355.456


Optimal GPV sequence: {{Val list| 10, 17c, 27e }}
{{Optimal ET sequence|legend=1| 10, 17c, 27e }}


Badness: 0.022619
Badness: 0.022619
Line 445: Line 445:
POTE generator: ~49/40 = 356.710
POTE generator: ~49/40 = 356.710


Optimal GPV sequence: {{Val list| 10, 27, 37 }}
{{Optimal ET sequence|legend=1| 10, 27, 37 }}


Badness: 0.058084
Badness: 0.058084
Line 458: Line 458:
POTE generator: ~16/13 = 356.701
POTE generator: ~16/13 = 356.701


Optimal GPV sequence: {{Val list| 10, 27, 37 }}
{{Optimal ET sequence|legend=1| 10, 27, 37 }}


Badness: 0.033971
Badness: 0.033971
Line 475: Line 475:
[[POTE generator]]: ~7/5 = 577.776
[[POTE generator]]: ~7/5 = 577.776


{{Val list|legend=1| 2, 25, 27 }}
{{Optimal ET sequence|legend=1| 2, 25, 27 }}


[[Badness]]: 0.108455
[[Badness]]: 0.108455
Line 488: Line 488:
POTE generator: ~7/5 = 577.850
POTE generator: ~7/5 = 577.850


Optimal GPV sequence: {{Val list| 2, 25e, 27e }}
{{Optimal ET sequence|legend=1| 2, 25e, 27e }}


Badness: 0.052054
Badness: 0.052054
Line 501: Line 501:
POTE generator: ~7/5 = 578.060
POTE generator: ~7/5 = 578.060


Optimal GPV sequence: {{Val list| 2f, 25ef, 27e }}
{{Optimal ET sequence|legend=1| 2f, 25ef, 27e }}


Badness: 0.039705
Badness: 0.039705
Line 518: Line 518:
[[POTE generator]]: ~7/5 = 562.122
[[POTE generator]]: ~7/5 = 562.122


{{Val list|legend=1| 2, 13, 15, 32c, 79bcc, 111bcc }}
{{Optimal ET sequence|legend=1| 2, 13, 15, 32c, 79bcc, 111bcc }}


[[Badness]]: 0.066400
[[Badness]]: 0.066400
Line 531: Line 531:
POTE generator: ~7/5 = 562.085
POTE generator: ~7/5 = 562.085


Optimal GPV sequence: {{Val list| 2, 13, 15, 32c, 47bc, 79bcce }}
{{Optimal ET sequence|legend=1| 2, 13, 15, 32c, 47bc, 79bcce }}


Badness: 0.031036
Badness: 0.031036
Line 544: Line 544:
POTE generator: ~7/5 = 562.365
POTE generator: ~7/5 = 562.365


Optimal GPV sequence: {{Val list| 15, 17c, 32cf }}
{{Optimal ET sequence|legend=1| 15, 17c, 32cf }}


Badness: 0.026214
Badness: 0.026214
Line 557: Line 557:
POTE generator: ~7/5 = 563.239
POTE generator: ~7/5 = 563.239


Optimal GPV sequence: {{Val list| 15f, 17c, 32c, 49c }}
{{Optimal ET sequence|legend=1| 15f, 17c, 32c, 49c }}


Badness: 0.032721
Badness: 0.032721
Line 572: Line 572:
[[POTE generator]]: ~6/5 = 338.365
[[POTE generator]]: ~6/5 = 338.365


{{Val list|legend=1| 7, 25, 32 }}
{{Optimal ET sequence|legend=1| 7, 25, 32 }}


[[Badness]]: 0.153088
[[Badness]]: 0.153088
Line 587: Line 587:
[[POTE generator]]: ~6/5 = 337.442
[[POTE generator]]: ~6/5 = 337.442


{{Val list|legend=1| 7, 25, 32 }}
{{Optimal ET sequence|legend=1| 7, 25, 32 }}


[[Badness]]: 0.158903
[[Badness]]: 0.158903