Xenharmonic Wiki

Quindromeda family: Difference between revisions

← Older editNewer edit →
VisualWikitext
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
5,030 edits
No edit summary
Tags: Mobile edit Mobile web edit
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
5,030 edits
No edit summary
Tags: Mobile edit Mobile web edit
Line 361: Line 361:
Mapping: [{{val| 1 2 0 -2 -4 10 }}, {{val| 0 -5 28 58 90 -76 }}]
Mapping: [{{val| 1 2 0 -2 -4 10 }}, {{val| 0 -5 28 58 90 -76 }}]


POTE generator: ~35/33 = 99.468
Optimal tunings:
* WE: ~2 = 1199.958¢, ~35/33 = 99.465¢
* CWE: ~2 = 1200.000¢, ~35/33 = 99.468¢


{{Optimal ET sequence|legend=0| 12, 181, 193, 374, 567ce, 941bce }}
{{Optimal ET sequence|legend=0| 12, 181, 193, 374, 567ce, 941bce }}


Badness: 0.062737
Badness (Sintel): 2.592


===== 17-limit =====
===== 17-limit =====
Line 374: Line 376:
Mapping: [{{val| 1 2 0 -2 -4 10 5 }}, {{val| 0 -5 28 58 90 -76 -11 }}]
Mapping: [{{val| 1 2 0 -2 -4 10 5 }}, {{val| 0 -5 28 58 90 -76 -11 }}]


POTE generator: ~18/17 = 99.469
Optimal tunings:
* WE: ~2 = 1199.929¢, ~18/17 = 99.463¢
* CWE: ~2 = 1200.000¢, ~18/17 = 99.469¢


{{Optimal ET sequence|legend=0| 12, 181, 193, 374, 567ce, 941bceg }}
{{Optimal ET sequence|legend=0| 12, 181, 193, 374, 567ce, 941bceg }}


Badness: 0.037855
Badness (Sintel): 1.928


===== 19-limit =====
===== 19-limit =====
Line 387: Line 391:
Mapping: [{{val| 1 2 0 -2 -4 10 5 4 }}, {{val| 0 -5 28 58 90 -76 -11 3 }}]
Mapping: [{{val| 1 2 0 -2 -4 10 5 4 }}, {{val| 0 -5 28 58 90 -76 -11 3 }}]


POTE generator: ~18/17 = 99.469
Optimal tunings:
* WE: ~2 = 1199.910¢, ~18/17 = 99.462¢
* CWE: ~2 = 1200.000¢, ~18/17 = 99.469¢


{{Optimal ET sequence|legend=0| 12, 181, 193, 374, 567ce, 941bcegh, 1508bccdeegghh }}
{{Optimal ET sequence|legend=0| 12, 181, 193, 374, 567ce, 941bcegh, 1508bccdeegghh }}


Badness: 0.025861
Badness (Sintel): 1.573


==== Quinkwai ====
==== Quinkwai ====
Line 400: Line 406:
Mapping: [{{val| 1 2 0 -2 -4 -5 }}, {{val| 0 -5 28 58 90 105 }}]
Mapping: [{{val| 1 2 0 -2 -4 -5 }}, {{val| 0 -5 28 58 90 105 }}]


POTE generator: ~35/33 = 99.456
Optimal tunings:
* WE: ~2 = 1199.964¢, ~35/33 = 99.453¢
* CWE: ~2 = 1200.000¢, ~35/33 = 99.455¢


{{Optimal ET sequence|legend=0| 12f, 169e, 181 }}
{{Optimal ET sequence|legend=0| 12f, 169e, 181 }}


Badness: 0.061873
Badness (Sintel): 2.557


===== 17-limit =====
===== 17-limit =====
Line 413: Line 421:
Mapping: [{{val| 1 2 0 -2 -4 -5 5 }}, {{val| 0 -5 28 58 90 105 -11 }}]
Mapping: [{{val| 1 2 0 -2 -4 -5 5 }}, {{val| 0 -5 28 58 90 105 -11 }}]


POTE generator: ~18/17 = 99.458
Optimal tunings:
* WE: ~2 = 1199.901¢, ~18/17 = 99.450¢
* CWE: ~2 = 1200.000¢, ~18/17 = 99.458¢


{{Optimal ET sequence|legend=0| 12f, 169e, 181, 374ff, 555cff }}
{{Optimal ET sequence|legend=0| 12f, 169e, 181, 374ff, 555cff }}


Badness: 0.043506
Badness (Sintel): 2.216


===== 19-limit =====
===== 19-limit =====
Line 426: Line 436:
Mapping: [{{val| 1 2 0 -2 -4 -5 5 4 }}, {{val| 0 -5 28 58 90 105 -11 3 }}]
Mapping: [{{val| 1 2 0 -2 -4 -5 5 4 }}, {{val| 0 -5 28 58 90 105 -11 3 }}]


POTE generator: ~18/17 = 99.459
Optimal tunings:
* WE: ~2 = 1199.879¢, ~18/17 = 99.449¢
* CWE: ~2 = 1200.000¢, ~18/17 = 99.458¢


{{Optimal ET sequence|legend=0| 12f, 169e, 181, 374ff, 555cff }}
{{Optimal ET sequence|legend=0| 12f, 169e, 181, 374ff, 555cff }}


Badness: 0.031313
Badness (Sintel): 1.905


==== Quintakwoid ====
==== Quintakwoid ====
Line 439: Line 451:
Mapping: [{{val| 1 2 0 -2 -4 -6 }}, {{val| 0 -5 28 58 90 117 }}]
Mapping: [{{val| 1 2 0 -2 -4 -6 }}, {{val| 0 -5 28 58 90 117 }}]


POTE generator: ~35/33 = 99.484
Optimal tunings:
* WE: ~2 = 1199.844¢, ~35/33 = 99.471¢
* CWE: ~2 = 1200.000¢, ~35/33 = 99.483¢


{{Optimal ET sequence|legend=0| 12f, 181f, 193 }}
{{Optimal ET sequence|legend=0| 12f, 181f, 193 }}


Badness: 0.057357
Badness (Sintel): 2.370


===== 17-limit =====
===== 17-limit =====
Line 452: Line 466:
Mapping: [{{val| 1 2 0 -2 -4 -6 5 }}, {{val| 0 -5 28 58 90 117 -11 }}]
Mapping: [{{val| 1 2 0 -2 -4 -6 5 }}, {{val| 0 -5 28 58 90 117 -11 }}]


POTE generator: ~18/17 = 99.484
Optimal tunings:
* WE: ~2 = 1199.838¢, ~18/17 = 99.471¢
* CWE: ~2 = 1200.000¢, ~18/17 = 99.483¢


{{Optimal ET sequence|legend=0| 12f, 181f, 193 }}
{{Optimal ET sequence|legend=0| 12f, 181f, 193 }}


Badness: 0.039289
Badness (Sintel): 2.002


===== 19-limit =====
===== 19-limit =====
Line 465: Line 481:
Mapping: [{{val| 1 2 0 -2 -4 -6 5 4 }}, {{val| 0 -5 28 58 90 117 -11 3 }}]
Mapping: [{{val| 1 2 0 -2 -4 -6 5 4 }}, {{val| 0 -5 28 58 90 117 -11 3 }}]


POTE generator: ~18/17 = 99.485
Optimal tunings:
* WE: ~2 = 1199.826¢, ~18/17 = 99.470¢
* CWE: ~2 = 1200.000¢, ~18/17 = 99.484¢


{{Optimal ET sequence|legend=0| 12f, 181f, 193 }}
{{Optimal ET sequence|legend=0| 12f, 181f, 193 }}


Badness: 0.028101
Badness (Sintel): 1.709


== Quindro ==
== Quindro ==
Line 510: Line 528:
Mapping: [{{val| 1 2 0 15 -5 11 }}, {{val| 0 -5 28 -147 102 -88 }}]
Mapping: [{{val| 1 2 0 15 -5 11 }}, {{val| 0 -5 28 -147 102 -88 }}]


POTE generator: ~4096/3861 = 99.529
Optimal tunings:
* WE: ~2 = 1199.825¢, ~143/135 = 99.514¢
* CWE: ~2 = 1200.000¢, ~143/135 = 99.529¢


{{Optimal ET sequence|legend=0| 205, 217, 422, 639, 1061ef }}
{{Optimal ET sequence|legend=0| 205, 217, 422, 639, 1061ef }}


Badness: 0.039203
Badness (Sintel): 1.620


=== 17-limit ===
=== 17-limit ===
Line 523: Line 543:
Mapping: [{{val| 1 2 0 15 -5 11 5 }}, {{val| 0 -5 28 -147 102 -88 -11 }}]
Mapping: [{{val| 1 2 0 15 -5 11 5 }}, {{val| 0 -5 28 -147 102 -88 -11 }}]


POTE generator: ~18/17 = 99.529
Optimal tunings:
* WE: ~2 = 1199.843¢, ~18/17 = 99.516¢
* CWE: ~2 = 1200.000¢, ~18/17 = 99.529¢


{{Optimal ET sequence|legend=0| 205, 217, 422, 639, 1061ef }}
{{Optimal ET sequence|legend=0| 205, 217, 422, 639, 1061ef }}


Badness: 0.024110
Badness (Sintel): 1.228


=== 19-limit ===
=== 19-limit ===
Line 536: Line 558:
Mapping: [{{val| 1 2 0 15 -5 11 5 4 }}, {{val| 0 -5 28 -147 102 -88 -11 3 }}]
Mapping: [{{val| 1 2 0 15 -5 11 5 4 }}, {{val| 0 -5 28 -147 102 -88 -11 3 }}]


POTE generator: ~18/17 = 99.529
Optimal tunings:
* WE: ~2 = 1199.830¢, ~18/17 = 99.515¢
* CWE: ~2 = 1200.000¢, ~18/17 = 99.529¢


{{Optimal ET sequence|legend=0| 205, 217, 422, 639h, 1061efh }}
{{Optimal ET sequence|legend=0| 205, 217, 422, 639h, 1061efh }}


Badness: 0.016764
Badness (Sintel): 1.020


== Hemiquindromeda ==
== Hemiquindromeda ==
Line 581: Line 605:
Mapping: [{{val|1 2 0 6 4 2}}, {{val|0 -10 56 -77 -13 41}}]
Mapping: [{{val|1 2 0 6 4 2}}, {{val|0 -10 56 -77 -13 41}}]


POTE generator: ~36/35 = 49.759
Optimal tunings:
* WE: ~2 = 1199.885¢, ~36/35 = 49.754¢
* CWE: ~2 = 1200.000¢, ~36/35 = 49.759¢


{{Optimal ET sequence|legend=0| 24, 169d, 193, 217, 410e, 627e }}
{{Optimal ET sequence|legend=0| 24, 169d, 193, 217, 410e, 627e }}


Badness: 0.048715
Badness (Sintel): 2.013


=== 17-limit ===
=== 17-limit ===
Line 594: Line 620:
Mapping: [{{val|1 2 0 6 4 2 5}}, {{val|0 -10 56 -77 -13 41 -22}}]
Mapping: [{{val|1 2 0 6 4 2 5}}, {{val|0 -10 56 -77 -13 41 -22}}]


POTE generator: ~34/33 = 49.759
Optimal tunings:
* WE: ~2 = 1199.889¢, ~34/33 = 49.754¢
* CWE: ~2 = 1200.000¢, ~34/33 = 49.759¢


{{Optimal ET sequence|legend=0| 24, 169d, 193, 217, 410e, 627e }}
{{Optimal ET sequence|legend=0| 24, 169d, 193, 217, 410e, 627e }}


Badness: 0.028155
Badness (Sintel): 1.434


=== 19-limit ===
=== 19-limit ===
Line 607: Line 635:
Mapping: [{{val|1 2 0 6 4 2 5 4}}, {{val|0 -10 56 -77 -13 41 -22 6}}]
Mapping: [{{val|1 2 0 6 4 2 5 4}}, {{val|0 -10 56 -77 -13 41 -22 6}}]


POTE generator: ~34/33 = 49.759
Optimal tunings:
* WE: ~2 = 1199.872¢, ~34/33 = 49.754¢
* CWE: ~2 = 1200.000¢, ~34/33 = 49.759¢


{{Optimal ET sequence|legend=0| 24, 169d, 193, 217, 410e }}
{{Optimal ET sequence|legend=0| 24, 169d, 193, 217, 410e }}


Badness: 0.019364
Badness (Sintel): 1.178


== Semiquindromeda ==
== Semiquindromeda ==
Line 653: Line 683:
Mapping: [{{val| 2 4 0 -5 -10 -13 }}, {{val| 0 -5 28 64 102 123 }}]
Mapping: [{{val| 2 4 0 -5 -10 -13 }}, {{val| 0 -5 28 64 102 123 }}]


POTE generator: ~1323/1250 = 99.523
Optimal tunings:
* WE: ~99/70 = 599.927¢, ~1323/1250 = 99.511¢
* CWE: ~99/70 = 600.000¢, ~1323/1250 = 99.522¢


{{Optimal ET sequence|legend=0| 12f, 410, 422, 1254df, 1676bdff, 2098bcddff }}
{{Optimal ET sequence|legend=0| 12f, 410, 422, 1254df, 1676bdff, 2098bcddff }}


Badness: 0.053361
Badness (Sintel): 2.205


=== 17-limit ===
=== 17-limit ===
Line 666: Line 698:
Mapping: [{{val| 2 4 0 -5 -10 -13 10 }}, {{val| 0 -5 28 64 102 123 -11 }}]
Mapping: [{{val| 2 4 0 -5 -10 -13 10 }}, {{val| 0 -5 28 64 102 123 -11 }}]


POTE generator: ~18/17 = 99.522
Optimal tunings:
* WE: ~99/70 = 599.938¢, ~18/17 = 99.512¢
* CWE: ~99/70 = 600.000¢, ~18/17 = 99.521¢


{{Optimal ET sequence|legend=0| 12f, 410, 422, 832, 1254df, 1676bdff }}
{{Optimal ET sequence|legend=0| 12f, 410, 422, 832, 1254df, 1676bdff }}


Badness: 0.034659
Badness (Sintel): 1.766


=== 19-limit ===
=== 19-limit ===
Line 679: Line 713:
Mapping: [{{val| 2 4 0 -5 -10 -13 10 8 }}, {{val| 0 -5 28 64 102 123 -11 3 }}]
Mapping: [{{val| 2 4 0 -5 -10 -13 10 8 }}, {{val| 0 -5 28 64 102 123 -11 3 }}]


POTE generator: ~18/17 = 99.523
Optimal tunings:
* WE: ~99/70 = 599.925¢, ~18/17 = 99.511¢
* CWE: ~99/70 = 600.000¢, ~18/17 = 99.522¢


{{Optimal ET sequence|legend=0| 12f, 410, 422, 1254dfhh, 1676bdffhh }}
{{Optimal ET sequence|legend=0| 12f, 410, 422, 1254dfhh, 1676bdffhh }}


Badness: 0.025439
Badness (Sintel): 1.547


[[Category:Temperament families]]
[[Category:Temperament families]]
[[Category:Quindromeda family| ]] <!-- main article -->
[[Category:Quindromeda family| ]] <!-- main article -->
[[Category:Rank 2]]
[[Category:Rank 2]]
Retrieved from "https://en.xen.wiki/w/Quindromeda_family"