Marvel: Difference between revisions

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== List of patent vals ==
== List of patent vals ==
The following are patent vals that support 7-limit Marvel. Vals contorted in the 7-limit are not included.
:''Main article: [[Marvel/Patent vals]]''
{|class="wikitable sortable"
|-
!|Edo!!Extension to 11!!3/2 tuning!!5/4 tuning!!7/4 tuning
|-
||2||||600.000||600.000||1200.000
|-
||11||||654.545||436.364||981.818
|-
||9||19 & 22 & 31||666.667||400.000||933.333
|-
||21||||685.714||400.000||971.429
|-
||40||19 & 22 & 31||690.000||390.000||960.000
|-
||33||||690.909||400.000||981.818
|-
||52||||692.308||392.308||969.231
|-
||64||||693.750||393.750||975.000
|-
||19||19 & 22 & 31||694.737||378.947||947.368
|-
||50||19 & 22 & 31||696.000||384.000||960.000
|-
||81||19 & 22 & 31||696.296||385.185||962.963
|-
||31||19 & 22 & 31||696.774||387.097||967.742
|-
||105||||697.143||388.571||971.429
|-
||74||||697.297||389.189||972.973
|-
||43||||697.674||390.698||976.744
|-
||122||19 & 22 & 31||698.361||383.607||963.934
|-
||134||||698.507||385.075||967.164
|-
||146||||698.630||386.301||969.863
|-
||158||||698.734||387.342||972.152
|-
||91||19 & 22 & 31||698.901||382.418||962.637
|-
||103||19 & 22 & 31||699.029||384.466||966.990
|-
||115||||699.130||386.087||970.435
|-
||127||||699.213||387.402||973.228
|-
||175||19 & 22 & 31||699.429||384.000||966.857
|-
||187||||699.465||385.027||968.984
|-
||199||||699.497||385.930||970.854
|-
||12||||700.000||400.000||1000.000
|-
||60||19 & 22 & 31||700.000||380.000||960.000
|-
||72||19 & 22 & 31||700.000||383.333||966.667
|-
||84||||700.000||385.714||971.429
|-
||96||||700.000||387.500||975.000
|-
||156||||700.000||384.615||969.231
|-
||168||||700.000||385.714||971.429
|-
||228||||700.000||384.211||968.421
|-
||240||||700.000||385.000||970.000
|-
||293||||700.341||384.983||970.648
|-
||281||||700.356||384.342||969.395
|-
||209||||700.478||384.689||970.335
|-
||197||||700.508||383.756||968.528
|-
||137||||700.730||385.401||972.263
|-
||262||||700.763||384.733||970.992
|-
||125||19 & 22 & 31||700.800||384.000||969.600
|-
||113||19 & 22 & 31||700.885||382.301||966.372
|-
||178||||701.124||384.270||970.787
|-
||166||19 & 22 & 31||701.205||383.133||968.675
|-
||53||19 & 22 & 31||701.887||384.906||973.585
|-
||147||||702.041||383.673||971.429
|-
||94||19 & 22 & 31||702.128||382.979||970.213
|-
||135||19 & 22 & 31||702.222||382.222||968.889
|-
||41||19 & 22 & 31||702.439||380.488||965.854
|-
||29||||703.448||372.414||951.724
|-
||116||19 & 22 & 31||703.448||382.759||972.414
|-
||104||19 & 22 & 31||703.846||380.769||969.231
|-
||75||19 & 22 & 31||704.000||384.000||976.000
|-
||63||19 & 22 & 31||704.762||380.952||971.429
|-
||51||||705.882||376.471||964.706
|-
||85||19 & 22 & 31||705.882||381.176||974.118
|-
||22||19 & 22 & 31||709.091||381.818||981.818
|-
||44||19 & 22 & 31||709.091||381.818||981.818
|-
||54||19 & 22 & 31||711.111||377.778||977.778
|-
||32||19 & 22 & 31||712.500||375.000||975.000
|-
||10||19 & 22 & 31||720.000||360.000||960.000
|-
||1||||1200.000||0.000||1200.000
|}
{{Navbox regtemp}}
{{Navbox regtemp}}
{{Cat|temperaments}}
{{Cat|temperaments}}

Latest revision as of 14:23, 7 April 2026

Marvel, 19 & 22 & 31, is a 7-limit rank-3 temperament tempering out 225/224, thereby equating 16/15 with 15/14 and equating 25/16 (= 5/4 * 5/4) with 14/9. On account of enlarging 16/15, Marvel favors somewhat flat tunings for 3 and 5.

The canonical strong extension to the 11-limit adds 385/384 (equating 35/32 to 12/11). 72edo is usually considered the Undecimal Marvel tuning par excellence; however, smaller edo tunings that support it such as 22edo and 41edo are more popular in the xen community.

Intervals

# fifths -3 -2 -1 0 +1 +2 +3
# 5/4s Cents* JI Cents* JI Cents* JI Cents* JI Cents* JI Cents* JI Cents* JI
3 249.7 125/108, 280/243 950.3 140/81 450.9 35/27 1151.4 35/18, 64/33 652.0 35/24, 16/11 152.6 35/32, 12/11 853.4 105/64, 18/11
2 1065.8 50/27 566.4 25/18, 112/81 67.0 28/27, 25/24 767.6 14/9, 25/16 268.2 7/6, 75/64 968.8 7/4 469.6 21/16
1 682.0 40/27 182.6 10/9 883.2 5/3 383.8 5/4 1084.4 15/8, 28/15 585.0 7/5 85.8 21/20
0 298.1 32/27 998.8 16/9 499.4 4/3 0 1/1 700.6 3/2 201.2 9/8 901.9 27/16
-1 1114.2 40/21 615.0 10/7 115.6 16/15, 15/14 816.7 8/5 316.8 6/5 1017.4 9/5 518.0 27/20
-2 730.4 32/21 231.2 8/7 931.8 12/7 432.3 9/7 1133.0 27/14 633.6 81/56 134.2 27/25
-3 346.6 128/105, 11/9 1047.4 64/35, 11/6 548.0 48/35, 11/8 48.6 36/35 (33/32) 749.1 54/35 (99/64) 249.7 81/70 950.3 243/140

(* Cent values in pure-2/1, pure-7/4 tuning. Note that ~64/63 = 30.0c and ~81/80 = 18.6c in this tuning. 11-limit JI interpretations use 385/384 tempering.)

Supporting temperaments

Many rank-2 temperaments supported by small-to-medium-sized edos support Marvel:

List of patent vals

Main article: Marvel/Patent vals


View • Talk • EditRegular temperaments
Rank-2
Acot Blackwood (1/5-octave) • Whitewood (1/7-octave) • Compton (1/12-octave)
Monocot Meantone • Schismic • Gentle-fifth temperaments • Archy
Complexity 2 Diaschismic (diploid monocot) • Pajara (diploid monocot) • Injera (diploid monocot) • Rastmatic (dicot) • Mohajira (dicot) • Intertridecimal (dicot) • Interseptimal (alpha-dicot)
Complexity 3 Augmented (triploid) • Misty (triploid) • Slendric (tricot) • Porcupine (omega-tricot)
Complexity 4 Diminished (tetraploid) • Tetracot (tetracot) • Buzzard (alpha-tetracot) • Squares (beta-tetracot) • Negri (omega-tetracot)
Complexity 5-6 Magic (alpha-pentacot) • Amity (gamma-pentacot) • Kleismic (alpha-hexacot) • Miracle (hexacot)
Higher complexity Orwell (alpha-heptacot) • Sensi (beta-heptacot) • Octacot (octacot) • Wurschmidt (beta-octacot) • Valentine (enneacot) • Ammonite (delta-enneacot) • Myna (beta-decacot) • Ennealimmal (enneaploid dicot)
Straddle-3 A-Team (alter-tricot) • Machine (alter-monocot)
No-3 Mabilic (alpha-triseph) • Orgone (trimech) • Didacus (diseph) • Sidewalk (epsilon-heptaseph)
No-octaves Sensamagic (monogem)
Exotemperaments Dicot • Mavila • Father
Higher-rank
Rank-3 Aberschismic • Marvel • Parapyth • Pentagoth
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