Quindromeda family: Difference between revisions

Xenllium (talk | contribs)
mNo edit summary
 
(11 intermediate revisions by 8 users not shown)
Line 1: Line 1:
The '''quindromeda family''' tempers out {{monzo| 56 -28 -5 }}, equating the [[Pythagorean comma]] with a stack of five [[schisma]]s, making it a member of the [[schismic-Pythagorean equivalence continuum]].  
{{Technical data page}}
The '''quindromeda family''' tempers out {{monzo| 56 -28 -5 }}, equating the [[Pythagorean comma]] with a stack of five [[schisma]]s, making it a member of the [[schismic–Pythagorean equivalence continuum]].  


== Quindromeda ==
== Quindromeda ==
Line 12: Line 13:
[[POTE generator]]: ~4428675/4194304 = 99.526
[[POTE generator]]: ~4428675/4194304 = 99.526


{{Val list|legend=1| 12, 169, 181, 193, 205, 217, 422 }}
{{Optimal ET sequence|legend=1| 12, 169, 181, 193, 205, 217, 422 }}


[[Badness]]: 0.399849
[[Badness]]: 0.399849


=== Subgroup temperament ===
=== Subgroup temperament ===
{{see also| No-sevens subgroup temperaments #Quindromeda }}


The quindromeda temperament works well for the 2.3.5.17.19 subgroup, tempering out the password comma ([[1216/1215]]), aureusma ([[1445/1444]]), and 6144/6137. An obvious 17-limit interpretation of the generator is ~[[18/17]], equating three 18/17s with [[19/16]], five 18/17s with [[4/3]], and twenty-eight 18/17s with the [[5/1|fifth harmonic]].
The quindromeda temperament works well for the 2.3.5.17.19 subgroup, tempering out the [[1216/1215|password comma]] (1216/1215), [[1445/1444|aureusma]] (1445/1444), and [[6144/6137|langwisma]] (6144/6137). An obvious 17-limit interpretation of the generator is ~[[18/17]], equating three 18/17s with [[19/16]], five 18/17s with [[4/3]], and twenty-eight 18/17s with the [[5/1|fifth harmonic]].


==== 2.3.5.17 ====
Subgroup: 2.3.5.17
[[Comma list]]: 24576/24565, 295936/295245
[[Gencom]]: [2 18/17; 24576/24565 295936/295245]
[[Gencom|Gencom mapping]]: [{{val| 1 2 0 0 0 0 5 }}, {{val| 0 -5 28 0 0 0 -11 }}]
[[Mapping|Sval mapping]]: [{{val| 1 2 0 5 }}, {{val| 0 -5 28 -11 }}]
[[Tp tuning|POL2 generator]]: ~18/17 = 99.524
{{Optimal ET sequence|legend=1| 12, 169, 181, 193, 205, 422 }}
[[Tp tuning #T2 tuning|RMS error]]: 0.0757 cents
==== 2.3.5.17.19 ====
Subgroup: 2.3.5.17.19
Subgroup: 2.3.5.17.19


Comma list: 1216/1215, 1445/1444, 6144/6137
[[Comma list]]: 1216/1215, 1445/1444, 6144/6137
 
[[Gencom]]: [2 18/17; 1216/1215 1445/1444 6144/6137]
 
[[Gencom|Gencom mapping]]: [{{val| 1 2 0 0 0 0 5 4 }}, {{val| 0 -5 28 0 0 0 -11 3 }}]


Sval mapping: [{{val| 1 2 0 5 4 }}, {{val| 0 -5 28 -11 3 }}]
[[Mapping|Sval mapping]]: [{{val| 1 2 0 5 4 }}, {{val| 0 -5 28 -11 3 }}]


Gencom: [2 18/17; 1216/1215 1445/1444 6144/6137]
[[Tp tuning|POL2 generator]]: ~18/17 = 99.524


POTE generator: ~18/17 = 99.524
{{Optimal ET sequence|legend=1| 12, 169, 181, 193, 205, 422 }}


Vals: {{Val list| 12, 169, 181, 193, 205, 422 }}
[[Tp tuning #T2 tuning|RMS error]]: 0.0813 cents


Badness: 0.007140
[[Badness]]: 0.007140


== Quintagar ==
== Quintagar ==
The ''quintagar'' temperament (12&217) tempers out the hemimean comma (3136/3125) and the [[garischisma]] (33554432/33480783) in the 7-limit. In the 2.3.5.7.17.19 subgroup, 256/255 (the difference between 16/15 and 17/16), 289/288 (between 17/16 and 18/17), 324/323 (between 18/17 and 19/18), 361/360 (between 19/18 and 20/19), and 400/399 (between 20/19 and 21/20) are equated together, and 476/475 (between 28/25 and 19/17) is tempered out. Immediate 2.3.5.7.11.17.19 extensions include ''quintoneum'' (12&217, tempering out 441/440), ''quintasandra'' (217&229, equating 385/384 with 400/399), and ''quintasandroid'' (12&229, equating 400/399 with 441/440). Full 19-limit extensions include ''quintoneum'' (12f&217), ''quintoneoid'' (12&217), ''quinsandra'' (217&229), ''quinsandric'' (12f&229), and ''quinsandro'' (12&229). The name ''quintagar'' is so named because the generator is 1/5 of the [[Schismatic family #Garibaldi|garibaldi]] fourth (~4/3, about 497.8 cents) aside from tempering out the garischisma.
The ''quintagar'' temperament (12&217) tempers out the [[3136/3125|hemimean comma]] (3136/3125) and the [[garischisma]] (33554432/33480783) in the 7-limit. In the 2.3.5.7.17.19 subgroup, [[256/255]] (the difference between 16/15 and 17/16), [[289/288]] (between 17/16 and 18/17), [[324/323]] (between 18/17 and 19/18), [[361/360]] (between 19/18 and 20/19), and [[400/399]] (between 20/19 and 21/20) are equated together, and [[476/475]] (between 28/25 and 19/17) is tempered out. Immediate 2.3.5.7.11.17.19 extensions include ''quintoneum'' (12&217, tempering out [[441/440]]), ''quinsandra'' (217&229, equating [[385/384]] with 400/399), and ''quinsandric'' (12&229, equating 400/399 with 441/440). Full 19-limit extensions include ''quintoneum'' (12f&217), ''quintoneoid'' (12&217), ''quinsandra'' (217&229), ''quinsandric'' (12f&229), and ''quinsandro'' (12&229). The name ''quintagar'' is so named because the generator is 1/5 of the [[Schismatic family #Garibaldi|garibaldi]] fourth (~4/3, about 497.8 cents).


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
Line 43: Line 65:


[[Mapping]]: [{{val| 1 2 0 -3 }}, {{val| 0 -5 28 70 }}]
[[Mapping]]: [{{val| 1 2 0 -3 }}, {{val| 0 -5 28 70 }}]
{{Multival|legend=1| 5 -28 -70 -56 -125 -84 }}


[[POTE generator]]: ~200/189 = 99.555
[[POTE generator]]: ~200/189 = 99.555


{{Val list|legend=1| 12, 217, 229, 446, 675c }}
{{Optimal ET sequence|legend=1| 12, 217, 229, 446, 675c }}


[[Badness]]: 0.142897
[[Badness]]: 0.142897
Line 63: Line 83:
POTE generator: ~35/33 = 99.539
POTE generator: ~35/33 = 99.539


Optimal GPV sequence: {{Val list| 12, 205d, 217 }}
{{Optimal ET sequence|legend=1| 12, 205d, 217 }}


Badness: 0.087157
Badness: 0.087157
Line 76: Line 96:
POTE generator: ~35/33 = 99.541
POTE generator: ~35/33 = 99.541


Optimal GPV sequence: {{Val list| 12f, 205df, 217 }}
{{Optimal ET sequence|legend=1| 12f, 205df, 217 }}


Badness: 0.052361
Badness: 0.052361
Line 89: Line 109:
POTE generator: ~18/17 = 99.540
POTE generator: ~18/17 = 99.540


Optimal GPV sequence: {{Val list| 12f, 205df, 217 }}
{{Optimal ET sequence|legend=1| 12f, 205df, 217 }}


Badness: 0.035653
Badness: 0.035653
Line 102: Line 122:
POTE generator: ~18/17 = 99.541
POTE generator: ~18/17 = 99.541


Optimal GPV sequence: {{Val list| 12f, 205df, 217 }}
{{Optimal ET sequence|legend=1| 12f, 205df, 217 }}


Badness: 0.025782
Badness: 0.025782
Line 115: Line 135:
POTE generator: ~35/33 = 99.537
POTE generator: ~35/33 = 99.537


Optimal GPV sequence: {{Val list| 12, 205d, 217 }}
{{Optimal ET sequence|legend=1| 12, 205d, 217 }}


Badness: 0.072826
Badness: 0.072826
Line 128: Line 148:
POTE generator: ~18/17 = 99.537
POTE generator: ~18/17 = 99.537


Optimal GPV sequence: {{Val list| 12, 205d, 217 }}
{{Optimal ET sequence|legend=1| 12, 205d, 217 }}


Badness: 0.042339
Badness: 0.042339
Line 141: Line 161:
POTE generator: ~18/17 = 99.537
POTE generator: ~18/17 = 99.537


Optimal GPV sequence: {{Val list| 12, 205d, 217 }}
{{Optimal ET sequence|legend=1| 12, 205d, 217 }}


Badness: 0.028983
Badness: 0.028983
Line 156: Line 176:
POTE generator: ~200/189 = 99.551
POTE generator: ~200/189 = 99.551


Optimal GPV sequence: {{Val list| 12e, 217, 446 }}
{{Optimal ET sequence|legend=1| 12e, 217, 446 }}


Badness: 0.109908
Badness: 0.109908
Line 169: Line 189:
POTE generator: ~55/52 = 99.548
POTE generator: ~55/52 = 99.548


Optimal GPV sequence: {{Val list| 12e, 217, 446, 663c }}
{{Optimal ET sequence|legend=1| 12e, 217, 446, 663c }}


Badness: 0.067730
Badness: 0.067730
Line 182: Line 202:
POTE generator: ~18/17 = 99.548
POTE generator: ~18/17 = 99.548


Optimal GPV sequence: {{Val list| 12e, 217, 446, 663c }}
{{Optimal ET sequence|legend=1| 12e, 217, 446, 663c }}


Badness: 0.038153
Badness: 0.038153
Line 195: Line 215:
POTE generator: ~18/17 = 99.547
POTE generator: ~18/17 = 99.547


Optimal GPV sequence: {{Val list| 12e, 217, 446, 663ch }}
{{Optimal ET sequence|legend=1| 12e, 217, 446, 663ch }}


Badness: 0.026654
Badness: 0.026654
Line 208: Line 228:
POTE generator: ~200/189 = 99.570
POTE generator: ~200/189 = 99.570


Optimal GPV sequence: {{Val list| 12, 217e, 229, 470cd, 699cd }}
{{Optimal ET sequence|legend=1| 12, 217e, 229, 470cd, 699cd }}


Badness: 0.093971
Badness: 0.093971
Line 221: Line 241:
POTE generator: ~55/52 = 99.578
POTE generator: ~55/52 = 99.578


Optimal GPV sequence: {{Val list| 12f, 217ef, 229, 241, 470cd, 711ccd }}
{{Optimal ET sequence|legend=1| 12f, 217ef, 229, 241, 470cd, 711ccd }}


Badness: 0.065701
Badness: 0.065701
Line 234: Line 254:
POTE generator: ~18/17 = 99.574
POTE generator: ~18/17 = 99.574


Optimal GPV sequence: {{Val list| 12f, 217ef, 229, 241, 470cd }}
{{Optimal ET sequence|legend=1| 12f, 217ef, 229, 241, 470cd }}


Badness: 0.046624
Badness: 0.046624
Line 247: Line 267:
POTE generator: ~18/17 = 99.575
POTE generator: ~18/17 = 99.575


Optimal GPV sequence: {{Val list| 12f, 217ef, 229, 241, 470cd }}
{{Optimal ET sequence|legend=1| 12f, 217ef, 229, 241, 470cd }}


Badness: 0.033145
Badness: 0.033145
Line 260: Line 280:
POTE generator: ~200/189 = 99.556
POTE generator: ~200/189 = 99.556


Optimal GPV sequence: {{Val list| 12, 217e, 229, 446e, 675ceef }}
{{Optimal ET sequence|legend=1| 12, 217e, 229, 446e, 675ceef }}


Badness: 0.100195
Badness: 0.100195
Line 273: Line 293:
POTE generator: ~18/17 = 99.556
POTE generator: ~18/17 = 99.556


Optimal GPV sequence: {{Val list| 12, 217e, 229, 446e, 675ceef }}
{{Optimal ET sequence|legend=1| 12, 217e, 229, 446e, 675ceef }}


Badness: 0.057851
Badness: 0.057851
Line 286: Line 306:
POTE generator: ~18/17 = 99.557
POTE generator: ~18/17 = 99.557


Optimal GPV sequence: {{Val list| 12, 217e, 229, 446e, 675ceefh }}
{{Optimal ET sequence|legend=1| 12, 217e, 229, 446e, 675ceefh }}


Badness: 0.040410
Badness: 0.040410


== Quintakwai ==
== Quintakwai ==
The ''quintakwai'' temperament (12&193) tempers out the hemifamity comma (5120/5103) and the compass comma (9765625/9680832, quinruyoyo) in the 7-limit; 1375/1372 and 4375/4356 in the 11-limit. In the 2.3.5.7.17.19 subgroup, 225/224 (the difference between 15/14 and 16/15), 256/255 (between 16/15 and 17/16), 289/288 (between 17/16 and 18/17), 324/323 (between 18/17 and 19/18), and 361/360 (between 19/18 and 20/19) are equated together, and 400/399 (between 20/19 and 21/20) is tempered out. The name ''quintakwai'' is so named because the generator is 1/5 of the [[Mirkwai clan #Kwai|kwai]] fourth (~4/3, about 497.4 cents).
The ''quintakwai'' temperament (12&193) tempers out the [[5120/5103|hemifamity comma]] (5120/5103) and the compass comma (9765625/9680832) in the 7-limit; 1375/1372 and 4375/4356 in the 11-limit. In the 2.3.5.7.17.19 subgroup, [[225/224]] (the difference between 15/14 and 16/15), 256/255 (between 16/15 and 17/16), 289/288 (between 17/16 and 18/17), 324/323 (between 18/17 and 19/18), and 361/360 (between 19/18 and 20/19) are equated together, and 400/399 (between 20/19 and 21/20) is tempered out. The name ''quintakwai'' is so named because the generator is 1/5 of the [[Mirkwai clan #Kwai|kwai]] fourth (~4/3, about 497.4 cents).


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
Line 298: Line 318:


[[Mapping]]: [{{val| 1 2 0 -2 }}, {{val| 0 -5 28 58 }}]
[[Mapping]]: [{{val| 1 2 0 -2 }}, {{val| 0 -5 28 58 }}]
{{Multival|legend=1| 5 -28 -58 -56 -106 -56 }}


[[POTE generator]]: ~625/588 = 99.483
[[POTE generator]]: ~625/588 = 99.483


{{Val list|legend=1| 12, 169, 181, 193 }}
{{Optimal ET sequence|legend=1| 12, 169, 181, 193 }}


[[Badness]]: 0.155536
[[Badness]]: 0.155536
Line 316: Line 334:
POTE generator: ~35/33 = 99.472
POTE generator: ~35/33 = 99.472


Optimal GPV sequence: {{Val list| 12, 181, 193, 374, 567ce }}
{{Optimal ET sequence|legend=1| 12, 181, 193, 374, 567ce }}


Badness: 0.073158
Badness: 0.073158
Line 329: Line 347:
POTE generator: ~35/33 = 99.468
POTE generator: ~35/33 = 99.468


Optimal GPV sequence: {{Val list| 12, 181, 193, 374, 567ce, 941bce }}
{{Optimal ET sequence|legend=1| 12, 181, 193, 374, 567ce, 941bce }}


Badness: 0.062737
Badness: 0.062737
Line 342: Line 360:
POTE generator: ~18/17 = 99.469
POTE generator: ~18/17 = 99.469


Optimal GPV sequence: {{Val list| 12, 181, 193, 374, 567ce, 941bceg }}
{{Optimal ET sequence|legend=1| 12, 181, 193, 374, 567ce, 941bceg }}


Badness: 0.037855
Badness: 0.037855
Line 355: Line 373:
POTE generator: ~18/17 = 99.469
POTE generator: ~18/17 = 99.469


Optimal GPV sequence: {{Val list| 12, 181, 193, 374, 567ce, 941bcegh, 1508bccdeegghh }}
{{Optimal ET sequence|legend=1| 12, 181, 193, 374, 567ce, 941bcegh, 1508bccdeegghh }}


Badness: 0.025861
Badness: 0.025861
Line 368: Line 386:
POTE generator: ~35/33 = 99.456
POTE generator: ~35/33 = 99.456


Optimal GPV sequence: {{Val list| 12f, 169e, 181 }}
{{Optimal ET sequence|legend=1| 12f, 169e, 181 }}


Badness: 0.061873
Badness: 0.061873
Line 381: Line 399:
POTE generator: ~18/17 = 99.458
POTE generator: ~18/17 = 99.458


Optimal GPV sequence: {{Val list| 12f, 169e, 181, 374ff, 555cff }}
{{Optimal ET sequence|legend=1| 12f, 169e, 181, 374ff, 555cff }}


Badness: 0.043506
Badness: 0.043506
Line 394: Line 412:
POTE generator: ~18/17 = 99.459
POTE generator: ~18/17 = 99.459


Optimal GPV sequence: {{Val list| 12f, 169e, 181, 374ff, 555cff }}
{{Optimal ET sequence|legend=1| 12f, 169e, 181, 374ff, 555cff }}


Badness: 0.031313
Badness: 0.031313
Line 407: Line 425:
POTE generator: ~35/33 = 99.484
POTE generator: ~35/33 = 99.484


Optimal GPV sequence: {{Val list| 12f, 181f, 193 }}
{{Optimal ET sequence|legend=1| 12f, 181f, 193 }}


Badness: 0.057357
Badness: 0.057357
Line 420: Line 438:
POTE generator: ~18/17 = 99.484
POTE generator: ~18/17 = 99.484


Optimal GPV sequence: {{Val list| 12f, 181f, 193 }}
{{Optimal ET sequence|legend=1| 12f, 181f, 193 }}


Badness: 0.039289
Badness: 0.039289
Line 433: Line 451:
POTE generator: ~18/17 = 99.485
POTE generator: ~18/17 = 99.485


Optimal GPV sequence: {{Val list| 12f, 181f, 193 }}
{{Optimal ET sequence|legend=1| 12f, 181f, 193 }}


Badness: 0.028101
Badness: 0.028101


== Quindro ==
== Quindro ==
The ''quindro'' temperament (205&217) is an extension of the ''quindromeda'' temperament which tempers out the ragisma (4375/4374), the vishdel comma (5632/5625), and the ibnsinma (2080/2079).  
The ''quindro'' temperament (205&217) is an extension of the ''quindromeda'' temperament which tempers out the [[4375/4374|ragisma]] (4375/4374), the [[5632/5625|vishdel comma]] (5632/5625), and the [[2080/2079|ibnsinma]] (2080/2079).  


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
Line 445: Line 463:


[[Mapping]]: [{{val| 1 2 0 15 }}, {{val| 0 -5 28 -147 }}]
[[Mapping]]: [{{val| 1 2 0 15 }}, {{val| 0 -5 28 -147 }}]
{{Multival|legend=1| 5 -28 147 -56 219 420 }}


[[POTE generator]]: ~4428675/4194304 = 99.529
[[POTE generator]]: ~4428675/4194304 = 99.529


{{Val list|legend=1| 205, 217, 422, 639, 1061 }}
{{Optimal ET sequence|legend=1| 205, 217, 422, 639, 1061 }}


[[Badness]]: 0.316850
[[Badness]]: 0.316850
Line 463: Line 479:
POTE generator: ~17325/16384 = 99.529
POTE generator: ~17325/16384 = 99.529


Optimal GPV sequence: {{Val list| 205, 217, 422, 639, 1061e }}
{{Optimal ET sequence|legend=1| 205, 217, 422, 639, 1061e }}


Badness: 0.085219
Badness: 0.085219
Line 476: Line 492:
POTE generator: ~4096/3861 = 99.529
POTE generator: ~4096/3861 = 99.529


Optimal GPV sequence: {{Val list| 205, 217, 422, 639, 1061ef }}
{{Optimal ET sequence|legend=1| 205, 217, 422, 639, 1061ef }}


Badness: 0.039203
Badness: 0.039203
Line 489: Line 505:
POTE generator: ~18/17 = 99.529
POTE generator: ~18/17 = 99.529


Optimal GPV sequence: {{Val list| 205, 217, 422, 639, 1061ef }}
{{Optimal ET sequence|legend=1| 205, 217, 422, 639, 1061ef }}


Badness: 0.024110
Badness: 0.024110
Line 502: Line 518:
POTE generator: ~18/17 = 99.529
POTE generator: ~18/17 = 99.529


Optimal GPV sequence: {{Val list| 205, 217, 422, 639h, 1061efh }}
{{Optimal ET sequence|legend=1| 205, 217, 422, 639h, 1061efh }}


Badness: 0.016764
Badness: 0.016764
Line 512: Line 528:


[[Mapping]]: [{{val|1 2 0 6}}, {{val|0 -10 56 -77}}]
[[Mapping]]: [{{val|1 2 0 6}}, {{val|0 -10 56 -77}}]
{{Multival|legend=1| 10 -56 77 -112 94 336 }}


[[POTE generator]]: ~36/35 = 49.756
[[POTE generator]]: ~36/35 = 49.756


{{Val list|legend=1| 24, 169d, 193, 217, 410 }}
{{Optimal ET sequence|legend=1| 24, 169d, 193, 217, 410 }}


[[Badness]]: 0.244589
[[Badness]]: 0.244589
Line 530: Line 544:
POTE generator: ~36/35 = 49.757
POTE generator: ~36/35 = 49.757


Optimal GPV sequence: {{Val list| 24, 169d, 193, 217, 410e }}
{{Optimal ET sequence|legend=1| 24, 169d, 193, 217, 410e }}


Badness: 0.093130
Badness: 0.093130
Line 543: Line 557:
POTE generator: ~36/35 = 49.759
POTE generator: ~36/35 = 49.759


Optimal GPV sequence: {{Val list| 24, 169d, 193, 217, 410e, 627e }}
{{Optimal ET sequence|legend=1| 24, 169d, 193, 217, 410e, 627e }}


Badness: 0.048715
Badness: 0.048715
Line 556: Line 570:
POTE generator: ~34/33 = 49.759
POTE generator: ~34/33 = 49.759


Optimal GPV sequence: {{Val list| 24, 169d, 193, 217, 410e, 627e }}
{{Optimal ET sequence|legend=1| 24, 169d, 193, 217, 410e, 627e }}


Badness: 0.028155
Badness: 0.028155
Line 569: Line 583:
POTE generator: ~34/33 = 49.759
POTE generator: ~34/33 = 49.759


Optimal GPV sequence: {{Val list| 24, 169d, 193, 217, 410e }}
{{Optimal ET sequence|legend=1| 24, 169d, 193, 217, 410e }}


Badness: 0.019364
Badness: 0.019364
Line 584: Line 598:
[[POTE generator]]: ~1323/1250 = 99.521
[[POTE generator]]: ~1323/1250 = 99.521


{{Val list|legend=1| 12, 398, 410, 422, 832, 1254d, 2086bd }}
{{Optimal ET sequence|legend=1| 12, 398, 410, 422, 832, 1254d, 2086bd }}


[[Badness]]: 0.233140
[[Badness]]: 0.233140
Line 597: Line 611:
POTE generator: ~1323/1250 = 99.525
POTE generator: ~1323/1250 = 99.525


Optimal GPV sequence: {{Val list| 12, 410, 422 }}
{{Optimal ET sequence|legend=1| 12, 410, 422 }}


Badness: 0.093926
Badness: 0.093926
Line 610: Line 624:
POTE generator: ~1323/1250 = 99.523
POTE generator: ~1323/1250 = 99.523


Optimal GPV sequence: {{Val list| 12f, 410, 422, 1254df, 1676bdff, 2098bcddff }}
{{Optimal ET sequence|legend=1| 12f, 410, 422, 1254df, 1676bdff, 2098bcddff }}


Badness: 0.053361
Badness: 0.053361
Line 623: Line 637:
POTE generator: ~18/17 = 99.522
POTE generator: ~18/17 = 99.522


Optimal GPV sequence: {{Val list| 12f, 410, 422, 832, 1254df, 1676bdff }}
{{Optimal ET sequence|legend=1| 12f, 410, 422, 832, 1254df, 1676bdff }}


Badness: 0.034659
Badness: 0.034659
Line 636: Line 650:
POTE generator: ~18/17 = 99.523
POTE generator: ~18/17 = 99.523


Optimal GPV sequence: {{Val list| 12f, 410, 422, 1254dfhh, 1676bdffhh }}
{{Optimal ET sequence|legend=1| 12f, 410, 422, 1254dfhh, 1676bdffhh }}


Badness: 0.025439
Badness: 0.025439


[[Category:Regular temperament theory]]
[[Category:Temperament families]]
[[Category:Temperament family]]
[[Category:Pages with mostly numerical content]]
[[Category:Quindromeda family| ]] <!-- main article -->
[[Category:Quindromeda family| ]] <!-- main article -->
[[Category:Rank 2]]
[[Category:Rank 2]]