Xenharmonic Wiki

Marvel temperaments: Difference between revisions

← Older editNewer edit →
VisualWikitext
-quintapole > quintaleap family
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
5,024 edits
mNo edit summary
Line 36: Line 36:


Negri tempers out the [[negri comma]] in the 5-limit, [[49/48]] and [[225/224]] in the 7-limit. It can be extended naturally to the 2.3.5.7.13 subgroup by adding [[91/90]] to the comma list; this will be discussed below under the title of negra.  
Negri tempers out the [[negri comma]] in the 5-limit, [[49/48]] and [[225/224]] in the 7-limit. It can be extended naturally to the 2.3.5.7.13 subgroup by adding [[91/90]] to the comma list; this will be discussed below under the title of negra.  


Subgroup: 2.3.5
Subgroup: 2.3.5
Line 93: Line 92:
POTE generator: ~15/14 = 126.474
POTE generator: ~15/14 = 126.474


Vals: {{Val list| 9, 10, 19 }}
Optimal GPV sequence: {{Val list| 9, 10, 19 }}


Badness: 0.026190
Badness: 0.026190
Line 106: Line 105:
POTE generator: ~14/13 = 126.431
POTE generator: ~14/13 = 126.431


Vals: {{Val list| 9, 10, 19 }}
Optimal GPV sequence: {{Val list| 9, 10, 19 }}


Badness: 0.017833
Badness: 0.017833
Line 119: Line 118:
POTE generator: ~15/14 = 124.767
POTE generator: ~15/14 = 124.767


Vals: {{Val list| 19, 29, 48d, 77cdd }}
Optimal GPV sequence: {{Val list| 19, 29, 48d, 77cdd }}


Badness: 0.038679
Badness: 0.038679
Line 132: Line 131:
POTE generator: ~14/13 = 124.716
POTE generator: ~14/13 = 124.716


Vals: {{Val list| 19, 29, 48df, 77cddf }}
Optimal GPV sequence: {{Val list| 19, 29, 48df, 77cddf }}


Badness: 0.024383
Badness: 0.024383
Line 145: Line 144:
POTE generator: ~15/14 = 127.039
POTE generator: ~15/14 = 127.039


Vals: {{Val list| 9, 19e }}
Optimal GPV sequence: {{Val list| 9, 19e }}


Badness: 0.030617
Badness: 0.030617
Line 158: Line 157:
POTE generator: ~14/13 = 127.039
POTE generator: ~14/13 = 127.039


Vals: {{Val list| 9, 19e }}
Optimal GPV sequence: {{Val list| 9, 19e }}


Badness: 0.020205
Badness: 0.020205
Line 171: Line 170:
POTE generator: ~15/14 = 124.539
POTE generator: ~15/14 = 124.539


Vals: {{Val list| 10, 19e, 29, 77cddee }}
Optimal GPV sequence: {{Val list| 10, 19e, 29, 77cddee }}


Badness: 0.035296
Badness: 0.035296
Line 184: Line 183:
POTE generator: ~14/13 = 124.545
POTE generator: ~14/13 = 124.545


Vals: {{Val list| 10, 19e, 29, 77cddeef }}
Optimal GPV sequence: {{Val list| 10, 19e, 29, 77cddeef }}


Badness: 0.021559
Badness: 0.021559
Line 197: Line 196:
POTE generator: ~11/8 = 537.186
POTE generator: ~11/8 = 537.186


Vals: {{Val list| 9, 20, 29, 38d, 67cdde }}
Optimal GPV sequence: {{Val list| 9, 20, 29, 38d, 67cdde }}


Badness: 0.041886
Badness: 0.041886
Line 210: Line 209:
POTE generator: ~11/8 = 537.208
POTE generator: ~11/8 = 537.208


Vals: {{Val list| 9, 20, 29, 38df, 67cddef }}
Optimal GPV sequence: {{Val list| 9, 20, 29, 38df, 67cddef }}


Badness: 0.025192
Badness: 0.025192
Line 223: Line 222:
POTE generator: ~11/8 = 537.230
POTE generator: ~11/8 = 537.230


Vals: {{Val list| 9, 20g, 29g, 38df, 67cddefg }}
Optimal GPV sequence: {{Val list| 9, 20g, 29g, 38df, 67cddefg }}


Badness: 0.021778
Badness: 0.021778
Line 236: Line 235:
POTE generator: ~11/8 = 537.214
POTE generator: ~11/8 = 537.214


Vals: {{Val list| 9, 20g, 29g, 38df, 67cddefgh }}
Optimal GPV sequence: {{Val list| 9, 20g, 29g, 38df, 67cddefgh }}


Badness: 0.016828
Badness: 0.016828
Line 273: Line 272:
POTE generator: ~5/4 = 383.232
POTE generator: ~5/4 = 383.232


Vals: {{Val list| 22, 50, 72, 166, 238c, 310c }}
Optimal GPV sequence: {{Val list| 22, 50, 72, 166, 238c, 310c }}


Badness: 0.018539
Badness: 0.018539
Line 290: Line 289:
POTE generator: ~5/4 = 383.389
POTE generator: ~5/4 = 383.389


Vals: {{Val list| 22, 50, 72, 122, 194df }}
Optimal GPV sequence: {{Val list| 22, 50, 72, 122, 194df }}


Badness: 0.021781
Badness: 0.021781
Line 305: Line 304:
POTE generator: ~5/4 = 383.381
POTE generator: ~5/4 = 383.381


Vals: {{Val list| 22, 50, 72, 122g, 194dfg }}
Optimal GPV sequence: {{Val list| 22, 50, 72, 122g, 194dfg }}


Badness: 0.014536
Badness: 0.014536
Line 320: Line 319:
POTE generator: ~5/4 = 383.477
POTE generator: ~5/4 = 383.477


Vals: {{Val list| 22h, 50, 72, 122g, 194dfg }}
Optimal GPV sequence: {{Val list| 22h, 50, 72, 122g, 194dfg }}


Badness: 0.015702
Badness: 0.015702
Line 335: Line 334:
POTE generator: ~5/4 = 383.170
POTE generator: ~5/4 = 383.170


Vals: {{Val list| 72, 166, 238cf }}
Optimal GPV sequence: {{Val list| 72, 166, 238cf }}


Badness: 0.020252
Badness: 0.020252
Line 350: Line 349:
POTE generator: ~5/4 = 383.175
POTE generator: ~5/4 = 383.175


Vals: {{Val list| 72, 166g, 238cfg }}
Optimal GPV sequence: {{Val list| 72, 166g, 238cfg }}


Badness: 0.013624
Badness: 0.013624
Line 365: Line 364:
POTE generator: ~5/4 = 383.138
POTE generator: ~5/4 = 383.138


Vals: {{Val list| 72, 94, 166g }}
Optimal GPV sequence: {{Val list| 72, 94, 166g }}


Badness: 0.014810
Badness: 0.014810
Line 380: Line 379:
POTE generator: ~5/4 = 383.124
POTE generator: ~5/4 = 383.124


Vals: {{Val list| 22, 50e, 72ee, 94ee }}
Optimal GPV sequence: {{Val list| 22, 50e, 72ee, 94ee }}


Badness: 0.057799
Badness: 0.057799
Line 410: Line 409:
POTE generator: ~7/5 = 569.144
POTE generator: ~7/5 = 569.144


Vals: {{Val list| 2, 17d, 19, 59bde, 78bde, 97bde }}
Optimal GPV sequence: {{Val list| 2, 17d, 19, 59bde, 78bde, 97bde }}


Badness: 0.045675
Badness: 0.045675
Line 440: Line 439:
POTE generator: ~7/5 = 580.267
POTE generator: ~7/5 = 580.267


Vals: {{Val list| 29, 31, 60e }}
Optimal GPV sequence: {{Val list| 29, 31, 60e }}


Badness: 0.023659
Badness: 0.023659
Line 453: Line 452:
POTE generator: ~7/5 = 580.108
POTE generator: ~7/5 = 580.108


Vals: {{Val list| 29, 31, 60e, 151cde }}
Optimal GPV sequence: {{Val list| 29, 31, 60e, 151cde }}


Badness: 0.022993
Badness: 0.022993
Line 466: Line 465:
POTE generator: ~7/5 = 580.389
POTE generator: ~7/5 = 580.389


Vals: {{Val list| 31, 91, 122, 153d }}
Optimal GPV sequence: {{Val list| 31, 91, 122, 153d }}


Badness: 0.045456
Badness: 0.045456
Line 496: Line 495:
POTE generator: ~7/5 = 585.606
POTE generator: ~7/5 = 585.606


Vals: {{Val list| 41, 84, 125e }}
Optimal GPV sequence: {{Val list| 41, 84, 125e }}


Badness: 0.036383
Badness: 0.036383
Line 509: Line 508:
POTE generator: ~7/5 = 585.657
POTE generator: ~7/5 = 585.657


Vals: {{Val list| 41, 84, 125e, 209ef, 293ef }}
Optimal GPV sequence: {{Val list| 41, 84, 125e, 209ef, 293ef }}


Badness: 0.027544
Badness: 0.027544
Line 539: Line 538:
POTE generator: ~7/5 = 588.626
POTE generator: ~7/5 = 588.626


Vals: {{Val list| 51, 53 }}
Optimal GPV sequence: {{Val list| 51, 53 }}


Badness: 0.074295
Badness: 0.074295
Line 552: Line 551:
POTE generator: ~7/5 = 588.654
POTE generator: ~7/5 = 588.654


Vals: {{Val list| 51f, 53 }}
Optimal GPV sequence: {{Val list| 51f, 53 }}


Badness: 0.047441
Badness: 0.047441
Line 582: Line 581:
POTE generator: ~7/6 = 263.634
POTE generator: ~7/6 = 263.634


Vals: {{Val list| 41, 91, 223cdef }}
Optimal GPV sequence: {{Val list| 41, 91, 223cdef }}


Badness: 0.031309
Badness: 0.031309
Line 595: Line 594:
POTE generator: ~7/6 = 263.700
POTE generator: ~7/6 = 263.700


Vals: {{Val list| 41, 91 }}
Optimal GPV sequence: {{Val list| 41, 91 }}


Badness: 0.023117
Badness: 0.023117
Line 625: Line 624:
POTE generator: ~16/15 = 113.323
POTE generator: ~16/15 = 113.323


Vals: {{Val list| 21, 32e, 53, 127, 180de }}
Optimal GPV sequence: {{Val list| 21, 32e, 53, 127, 180de }}


Badness: 0.085390
Badness: 0.085390
Line 638: Line 637:
POTE generator: ~16/15 = 113.323
POTE generator: ~16/15 = 113.323


Vals: {{Val list| 21, 32e, 53, 127, 180de }}
Optimal GPV sequence: {{Val list| 21, 32e, 53, 127, 180de }}


Badness: 0.045569
Badness: 0.045569
Line 651: Line 650:
POTE generator: ~16/15 = 113.142
POTE generator: ~16/15 = 113.142


Vals: {{Val list| 32, 53, 191de, 244cddee, 297cddee }}
Optimal GPV sequence: {{Val list| 32, 53, 191de, 244cddee, 297cddee }}


Badness: 0.087333
Badness: 0.087333
Line 657: Line 656:
== Slender ==
== Slender ==
Slender (31&32) tempers out the [[Hewuermera temperaments|hewuermera comma]] in addition to the marvel comma, this has a generator [[49/48]], 3 of which equal marvel's 16/15 - 15/14, and 10 generators is 5/4.
Slender (31&32) tempers out the [[Hewuermera temperaments|hewuermera comma]] in addition to the marvel comma, this has a generator [[49/48]], 3 of which equal marvel's 16/15 - 15/14, and 10 generators is 5/4.


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
Line 682: Line 680:
POTE generator: ~49/48 = 38.387
POTE generator: ~49/48 = 38.387


Vals: {{Val list| 31, 63, 94, 125 }}
Optimal GPV sequence: {{Val list| 31, 63, 94, 125 }}


Badness: 0.025342
Badness: 0.025342
Line 695: Line 693:
POTE generator: ~49/48 = 38.314
POTE generator: ~49/48 = 38.314


Vals: {{Val list| 31, 63, 94 }}
Optimal GPV sequence: {{Val list| 31, 63, 94 }}


Badness: 0.025913
Badness: 0.025913
Line 723: Line 721:
POTE generator: ~21/20 = 83.340
POTE generator: ~21/20 = 83.340


Vals: {{Val list| 29, 43, 72 }}
Optimal GPV sequence: {{Val list| 29, 43, 72 }}


Badness: 0.028965
Badness: 0.028965
Line 736: Line 734:
POTE generator: ~21/20 = 83.330
POTE generator: ~21/20 = 83.330


Vals: {{Val list| 29, 43, 72, 115f }}
Optimal GPV sequence: {{Val list| 29, 43, 72, 115f }}


Badness: 0.021470
Badness: 0.021470
Line 766: Line 764:
POTE generator: ~15/11 = 529.974
POTE generator: ~15/11 = 529.974


Vals: {{Val list| 9, 34d, 43, 77de }}
Optimal GPV sequence: {{Val list| 9, 34d, 43, 77de }}


Badness: 0.042649
Badness: 0.042649
Line 779: Line 777:
POTE generator: ~15/11 = 529.951
POTE generator: ~15/11 = 529.951


Vals: {{Val list| 9, 34d, 43, 77de }}
Optimal GPV sequence: {{Val list| 9, 34d, 43, 77de }}


Badness: 0.025791
Badness: 0.025791
Line 807: Line 805:
POTE generator: ~5/4 = 383.146
POTE generator: ~5/4 = 383.146


Vals: {{Val list| 9, 63, 72, 423cd, 495bcd }}
Optimal GPV sequence: {{Val list| 9, 63, 72, 423cd, 495bcd }}


Badness: 0.030426
Badness: 0.030426
Line 820: Line 818:
POTE generator: ~5/4 = 383.047
POTE generator: ~5/4 = 383.047


Vals: {{Val list| 9, 63, 72, 279cf }}
Optimal GPV sequence: {{Val list| 9, 63, 72, 279cf }}


Badness: 0.022322
Badness: 0.022322
Line 861: Line 859:
POTE generator: ~27/22 = 362.101
POTE generator: ~27/22 = 362.101


Vals: {{Val list| 10, 43e, 53, 116, 169de, 285cde }}
Optimal GPV sequence: {{Val list| 10, 43e, 53, 116, 169de, 285cde }}


Badness: 0.050582
Badness: 0.050582
Line 874: Line 872:
POTE generator: ~16/13 = 362.105
POTE generator: ~16/13 = 362.105


Vals: {{Val list| 10, 43e, 53, 116, 169de, 285cdef }}
Optimal GPV sequence: {{Val list| 10, 43e, 53, 116, 169de, 285cdef }}


Badness: 0.027689
Badness: 0.027689
Line 889: Line 887:
POTE generator: ~49/40 = 362.418
POTE generator: ~49/40 = 362.418


Vals: {{Val list| 43, 53, 96, 149d }}
Optimal GPV sequence: {{Val list| 43, 53, 96, 149d }}


Badness: 0.051806
Badness: 0.051806
Line 904: Line 902:
POTE generator: ~16/13 = 362.402
POTE generator: ~16/13 = 362.402


Vals: {{Val list| 43, 53, 96, 149d }}
Optimal GPV sequence: {{Val list| 43, 53, 96, 149d }}


Badness: 0.029680
Badness: 0.029680
Line 932: Line 930:
POTE generator: ~11/8 = 556.144
POTE generator: ~11/8 = 556.144


Vals: {{Val list| 28d, 41, 315cde }}
Optimal GPV sequence: {{Val list| 28d, 41, 315cde }}


Badness: 0.073459
Badness: 0.073459
Line 973: Line 971:
POTE generator: ~15/14 = 112.171
POTE generator: ~15/14 = 112.171


Vals: {{Val list| 21, 54, 75e }}
Optimal GPV sequence: {{Val list| 21, 54, 75e }}


Badness: 0.173485
Badness: 0.173485
Line 1,003: Line 1,001:
POTE generator: ~11/10 = 162.592
POTE generator: ~11/10 = 162.592


Vals: {{Val list| 22, 74, 96, 118d }}
Optimal GPV sequence: {{Val list| 22, 74, 96, 118d }}


Badness: 0.068410
Badness: 0.068410
Line 1,031: Line 1,029:
POTE generator: ~3/2 = 700.834
POTE generator: ~3/2 = 700.834


Vals: {{Val list| 12e, 113, 125, 238c }}
Optimal GPV sequence: {{Val list| 12e, 113, 125, 238c }}


Badness: 0.089588
Badness: 0.089588
Line 1,044: Line 1,042:
POTE generator: ~3/2 = 700.841
POTE generator: ~3/2 = 700.841


Vals: {{Val list| 12e, 113, 125f, 238cf }}
Optimal GPV sequence: {{Val list| 12e, 113, 125f, 238cf }}


Badness: 0.052235
Badness: 0.052235
Retrieved from "https://en.xen.wiki/w/Marvel_temperaments"