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Porcupine family: Difference between revisions

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Cmloegcmluin (talk | contribs)
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add unchanged-intervals along with eigenmonzo, per prior agreement on Xenwiki Work Group
Cmloegcmluin (talk | contribs)
autopatrolled, emailconfirmed
5,160 edits
"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
Line 35: Line 35:
* 5-odd-limit diamond monotone and tradeoff: ~10/9 = [157.821, 166.015]
* 5-odd-limit diamond monotone and tradeoff: ~10/9 = [157.821, 166.015]


{{Val list|legend=1| 7, 15, 22, 95c }}
{{Optimal ET sequence|legend=1| 7, 15, 22, 95c }}


[[Badness]]: 0.030778
[[Badness]]: 0.030778
Line 52: Line 52:
Optimal tuning (CTE): ~2 = 1\1, ~11/10 = 163.8867
Optimal tuning (CTE): ~2 = 1\1, ~11/10 = 163.8867


Optimal GPV sequence: {{val list| 7, 15, 22, 73ce, 95ce }}
{{Optimal ET sequence|legend=1| 7, 15, 22, 73ce, 95ce }}


Badness: 0.0097
Badness: 0.0097
Line 67: Line 67:
Optimal tuning (CTE): ~2 = 1\1, ~88/65 = 518.2094
Optimal tuning (CTE): ~2 = 1\1, ~88/65 = 518.2094


Optimal GPV sequence: {{val list| 7, 23bc, 30, 37, 44 }}
{{Optimal ET sequence|legend=1| 7, 23bc, 30, 37, 44 }}


Badness: 0.0305
Badness: 0.0305
Line 98: Line 98:
* 7- and 9-odd-limit diamond monotone and tradeoff: ~10/9 = [160.000, 163.636]
* 7- and 9-odd-limit diamond monotone and tradeoff: ~10/9 = [160.000, 163.636]


{{Val list|legend=1| 7, 15, 22, 37, 59, 81bd }}
{{Optimal ET sequence|legend=1| 7, 15, 22, 37, 59, 81bd }}


[[Badness]]: 0.041057
[[Badness]]: 0.041057
Line 120: Line 120:
* 11-odd-limit diamond monotone and tradeoff: ~11/10 = [160.000, 163.636]
* 11-odd-limit diamond monotone and tradeoff: ~11/10 = [160.000, 163.636]


Optimal GPV sequence: {{val list| 7, 15, 22, 37, 59 }}
{{Optimal ET sequence|legend=1| 7, 15, 22, 37, 59 }}


Badness: 0.021562
Badness: 0.021562
Line 144: Line 144:
* 15-odd-limit diamond monotone and tradeoff: ~11/10 = 163.636
* 15-odd-limit diamond monotone and tradeoff: ~11/10 = 163.636


Optimal GPV sequence: {{val list| 7, 15, 22f, 37f }}
{{Optimal ET sequence|legend=1| 7, 15, 22f, 37f }}


Badness: 0.021276
Badness: 0.021276
Line 170: Line 170:
* 15-odd-limit diamond monotone and tradeoff: ~10/9 = 162.162
* 15-odd-limit diamond monotone and tradeoff: ~10/9 = 162.162


Optimal GPV sequence: {{val list| 15, 22, 37 }}
{{Optimal ET sequence|legend=1| 15, 22, 37 }}


Badness: 0.025314
Badness: 0.025314
Line 187: Line 187:
: Eigenmonzo basis (unchanged-interval basis): 2.13/7
: Eigenmonzo basis (unchanged-interval basis): 2.13/7


Optimal GPV sequence: {{val list| 15f, 22f, 37, 59f }}
{{Optimal ET sequence|legend=1| 15f, 22f, 37, 59f }}


Badness: 0.035130
Badness: 0.035130
Line 204: Line 204:
: Eigenmonzo basis (unchanged-interval basis): 2.9/7
: Eigenmonzo basis (unchanged-interval basis): 2.9/7


Optimal GPV sequence: {{val list| 7, 15f, 22 }}
{{Optimal ET sequence|legend=1| 7, 15f, 22 }}


Badness: 0.026043
Badness: 0.026043
Line 224: Line 224:
* [[7-odd-limit|7-]] and [[9-odd-limit]] [[eigenmonzo basis]] ([[unchanged-interval basis]]): 2.7
* [[7-odd-limit|7-]] and [[9-odd-limit]] [[eigenmonzo basis]] ([[unchanged-interval basis]]): 2.7


{{Val list|legend=1| 7d, 8d, 15 }}
{{Optimal ET sequence|legend=1| 7d, 8d, 15 }}


[[Badness]]: 0.040650
[[Badness]]: 0.040650
Line 240: Line 240:
* 11-odd-limit eigenmonzo basis (unchanged-interval basis): 2.7
* 11-odd-limit eigenmonzo basis (unchanged-interval basis): 2.7


Optimal GPV sequence: {{Val list| 7d, 8d, 15 }}
{{Optimal ET sequence|legend=1| 7d, 8d, 15 }}


Badness: 0.022325
Badness: 0.022325
Line 256: Line 256:
* 13- and 15-odd-limit eigenmonzo basis (unchanged-interval basis): 2.7
* 13- and 15-odd-limit eigenmonzo basis (unchanged-interval basis): 2.7


Optimal GPV sequence: {{Val list| 7d, 8d, 15, 38bceff }}
{{Optimal ET sequence|legend=1| 7d, 8d, 15, 38bceff }}


Badness: 0.019389
Badness: 0.019389
Line 277: Line 277:
: [[Eigenmonzo basis]] ([[unchanged-interval basis]]): 2.7/5
: [[Eigenmonzo basis]] ([[unchanged-interval basis]]): 2.7/5


{{Val list|legend=1| 7d, 15d, 22, 29, 51, 73c }}
{{Optimal ET sequence|legend=1| 7d, 15d, 22, 29, 51, 73c }}


[[Badness]]: 0.054389
[[Badness]]: 0.054389
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: Eigenmonzo basis (unchanged-interval basis): 2.7/5
: Eigenmonzo basis (unchanged-interval basis): 2.7/5


Optimal GPV sequence: {{val list| 7d, 15d, 22, 51 }}
{{Optimal ET sequence|legend=1| 7d, 15d, 22, 51 }}


Badness: 0.027268
Badness: 0.027268
Line 307: Line 307:
Optimal tuning (CTE): ~2 = 1\1, ~11/10 = 164.4782
Optimal tuning (CTE): ~2 = 1\1, ~11/10 = 164.4782


Optimal GPV sequence: {{val list| 7d, 22, 29, 51f, 80cdeff }}
{{Optimal ET sequence|legend=1| 7d, 22, 29, 51f, 80cdeff }}


Badness: 0.026543
Badness: 0.026543
Line 328: Line 328:
: [[Eigenmonzo basis]] ([[unchanged-interval basis]]): 2.3
: [[Eigenmonzo basis]] ([[unchanged-interval basis]]): 2.3


{{Val list|legend=1| 7, 22d, 29, 65c, 94cd }}
{{Optimal ET sequence|legend=1| 7, 22d, 29, 65c, 94cd }}


[[Badness]]: 0.118344
[[Badness]]: 0.118344
Line 345: Line 345:
: Eigenmonzo basis (unchanged-interval basis): 2.3
: Eigenmonzo basis (unchanged-interval basis): 2.3


Optimal GPV sequence: {{val list| 7, 22d, 29, 65ce }}
{{Optimal ET sequence|legend=1| 7, 22d, 29, 65ce }}


Badness: 0.049669
Badness: 0.049669
Line 362: Line 362:
: Eigenmonzo basis (unchanged-interval basis): 2.3
: Eigenmonzo basis (unchanged-interval basis): 2.3


Optimal GPV sequence: {{val list| 7, 22d, 29, 65cef }}
{{Optimal ET sequence|legend=1| 7, 22d, 29, 65cef }}


Badness: 0.030233
Badness: 0.030233
Line 383: Line 383:
: [[Eigenmonzo basis]] ([[unchanged-interval basis]]): 2.5
: [[Eigenmonzo basis]] ([[unchanged-interval basis]]): 2.5


{{Val list|legend=1| 7, 8d, 15d }}
{{Optimal ET sequence|legend=1| 7, 8d, 15d }}


[[Badness]]: 0.044944
[[Badness]]: 0.044944
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Optimal tuning (CTE): ~2 = 1\1, ~11/10 = 164.7684
Optimal tuning (CTE): ~2 = 1\1, ~11/10 = 164.7684


Optimal GPV sequence: {{val list| 7, 8d, 15d }}
{{Optimal ET sequence|legend=1| 7, 8d, 15d }}


Badness: 0.026790
Badness: 0.026790
Line 413: Line 413:
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~10/9 = 161.3408
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~10/9 = 161.3408


{{Val list|legend=1| 7d }}
{{Optimal ET sequence|legend=1| 7d }}


[[Badness]]: 0.059866
[[Badness]]: 0.059866
Line 435: Line 435:
[[Optimal tuning]] ([[CTE]]): ~7/5 = 1\2, ~9/7 = 435.2580
[[Optimal tuning]] ([[CTE]]): ~7/5 = 1\2, ~9/7 = 435.2580


{{Val list|legend=1| 8d, 14c, 22 }}
{{Optimal ET sequence|legend=1| 8d, 14c, 22 }}


[[Badness]]: 0.043983
[[Badness]]: 0.043983
Line 448: Line 448:
Optimal tuning (CTE): ~7/5 = 1\2, ~9/7 = 435.5281
Optimal tuning (CTE): ~7/5 = 1\2, ~9/7 = 435.5281


Optimal GPV sequence: {{val list| 8d, 14c, 22, 58ce }}
{{Optimal ET sequence|legend=1| 8d, 14c, 22, 58ce }}


Badness: 0.023095
Badness: 0.023095
Line 461: Line 461:
Optimal tuning (CTE): ~7/5 = 1\2, ~9/7 = 436.3087
Optimal tuning (CTE): ~7/5 = 1\2, ~9/7 = 436.3087


Optimal GPV sequence: {{val list| 8d, 14cf, 22 }}
{{Optimal ET sequence|legend=1| 8d, 14cf, 22 }}


Badness: 0.021516
Badness: 0.021516
Line 474: Line 474:
Optimal tuning (CTE): ~7/5 = 1\2, ~9/7 = 435.1856
Optimal tuning (CTE): ~7/5 = 1\2, ~9/7 = 435.1856


Optimal GPV sequence: {{val list| 14c, 22f }}
{{Optimal ET sequence|legend=1| 14c, 22f }}


Badness: 0.025233
Badness: 0.025233
Line 487: Line 487:
Optimal tuning (CTE): ~7/5 = 1\2, ~9/7 = 435.3289
Optimal tuning (CTE): ~7/5 = 1\2, ~9/7 = 435.3289


Optimal GPV sequence: {{val list| 22 }}
{{Optimal ET sequence|legend=1| 22 }}


Badness: 0.068406
Badness: 0.068406
Line 507: Line 507:
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~21/20 = 81.9143
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~21/20 = 81.9143


{{Val list|legend=1| 14c, 15, 29 }}
{{Optimal ET sequence|legend=1| 14c, 15, 29 }}


[[Badness]]: 0.057420
[[Badness]]: 0.057420
Line 520: Line 520:
Optimal tuning (CTE): ~2 = 1\1, ~21/20 = 81.8017
Optimal tuning (CTE): ~2 = 1\1, ~21/20 = 81.8017


Optimal GPV sequence: {{val list| 14c, 15, 29 }}
{{Optimal ET sequence|legend=1| 14c, 15, 29 }}


Badness: 0.026023
Badness: 0.026023
Line 533: Line 533:
Optimal tuning (CTE): ~2 = 1\1, ~21/20 = 81.9123
Optimal tuning (CTE): ~2 = 1\1, ~21/20 = 81.9123


Optimal GPV sequence: {{val list| 14cf, 15, 29 }}
{{Optimal ET sequence|legend=1| 14cf, 15, 29 }}


Badness: 0.022285
Badness: 0.022285
Line 546: Line 546:
Optimal tuning (CTE): ~2 = 1\1, ~21/20 = 82.0342
Optimal tuning (CTE): ~2 = 1\1, ~21/20 = 82.0342


Optimal GPV sequence: {{val list| 14c, 15 }}
{{Optimal ET sequence|legend=1| 14c, 15 }}


Badness: 0.029816
Badness: 0.029816
Line 566: Line 566:
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~9/7 = 454.5500
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~9/7 = 454.5500


{{Val list|legend=1| 8d, 21cd, 29, 37, 66 }}
{{Optimal ET sequence|legend=1| 8d, 21cd, 29, 37, 66 }}


[[Badness]]: 0.107686
[[Badness]]: 0.107686
Line 579: Line 579:
Optimal tuning (CTE): ~2 = 1\1, ~9/7 = 454.5050
Optimal tuning (CTE): ~2 = 1\1, ~9/7 = 454.5050


Optimal GPV sequence: {{val list| 8d, 21cde, 29, 37, 66 }}
{{Optimal ET sequence|legend=1| 8d, 21cde, 29, 37, 66 }}


Badness: 0.045694
Badness: 0.045694
Line 592: Line 592:
Optimal tuning (CTE): ~2 = 1\1, ~13/10 = 454.4798
Optimal tuning (CTE): ~2 = 1\1, ~13/10 = 454.4798


Optimal GPV sequence: {{val list| 8d, 21cdef, 29, 37, 66 }}
{{Optimal ET sequence|legend=1| 8d, 21cdef, 29, 37, 66 }}


Badness: 0.027168
Badness: 0.027168
Line 609: Line 609:
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~36/35 = 54.8040
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~36/35 = 54.8040


{{Val list|legend=1| 1c, 21c, 22 }}
{{Optimal ET sequence|legend=1| 1c, 21c, 22 }}


[[Badness]]: 0.115304
[[Badness]]: 0.115304
Line 622: Line 622:
Optimal tuning (CTE): ~2 = 1\1, ~36/35 = 54.7019
Optimal tuning (CTE): ~2 = 1\1, ~36/35 = 54.7019


Optimal GPV sequence: {{val list| 1ce, 21ce, 22 }}
{{Optimal ET sequence|legend=1| 1ce, 21ce, 22 }}


Badness: 0.051319
Badness: 0.051319
Line 635: Line 635:
Optimal tuning (CTE): ~2 = 1\1, ~36/35 = 54.5751
Optimal tuning (CTE): ~2 = 1\1, ~36/35 = 54.5751


Optimal GPV sequence: {{val list| 1ce, 21cef, 22 }}
{{Optimal ET sequence|legend=1| 1ce, 21cef, 22 }}


Badness: 0.044739
Badness: 0.044739
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