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| This is the mega chromatic scale of Heinz temperament. Its generator of 5\11edo to 6\13edo hits so close to 11/8 as to be able to be called nothing but that interval, making it an 11+-limit scale. | | {{Infobox MOS}} |
| | {{MOS intro|Other Names=hendecoid; Wyschnegradsky's diatonicized chromatic scale}} |
| | This scale is most notable for being used by [[Ivan Wyschnegradsky]], bearing the name '''diatonicized chromatic scale'''. Eliora has proposed the name '''hendecoid''' for its strong relationship to the number 11, as it's an 11+-limit scale and has generators that are close to [[11/8]]. Frostburn has proposed the name '''p-enhar balzano''', as a grandchild scale of 2L 7s. |
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| {| class="wikitable"
| | From a regular temperament theory perspective, this scale is notable for corresponding to the mega chromatic scale of [[Heinz]] temperament. Its generator of 5\11 to 6\13 hits so close to 11/8 as to be able to be called nothing but that interval, making it an 11+-limit scale. If just 11/8 is used as generator, the step ratio is around 1.509. |
| ! colspan=6 | generator
| | |
| ! | L
| | == Modes == |
| ! | s
| | {{MOS modes}} |
| ! | L/s
| | |
| ! | gen (cents)
| | == Intervals == |
| ! | comment
| | {{MOS intervals}} |
| |-
| | |
| | | 5\11
| | == Scale tree == |
| | |
| | {{MOS tuning spectrum |
| | |
| | | 7/5 = ↕ [[Emka]] |
| | |
| | | 8/5 = ↕ [[Freivald]] |
| | |
| | | 4/1 = [[Heinz]] |
| | |
| | }} |
| | | 1
| | |
| | | 0
| | [[Category:13-tone scales]] |
| | |
| |
| | | 545.455
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | <sup>→</sup>41\90
| |
| | |
| |
| | | 8
| |
| | | 1
| |
| | | 8.000
| |
| | | 546.667
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | <sup>→</sup>36\79
| |
| | |
| |
| | | 7
| |
| | | 1
| |
| | | 7.000
| |
| | | 546.835
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | <sup>→</sup>31\68
| |
| | |
| |
| | | 6
| |
| | | 1
| |
| | | 6.000
| |
| | | 547.059
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 26\57
| |
| | |
| |
| | | 5
| |
| | | 1
| |
| | | 5.000
| |
| | | 547.368
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 21\46
| |
| | |
| |
| | |
| |
| | | 4
| |
| | | 1
| |
| | | 4.000
| |
| | | 547.826
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 37\81
| |
| | |
| |
| | | 7
| |
| | | 2
| |
| | | 3.500
| |
| | | 548.148
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | | 16\35
| |
| | |
| |
| | |
| |
| | |
| |
| | | 3
| |
| | | 1
| |
| | | 3.000
| |
| | | 548.571
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 43\94
| |
| | |
| |
| | | 8
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| | | 3
| |
| | | 2.667
| |
| | | 548.936
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 27\59
| |
| | |
| |
| | |
| |
| | | 5
| |
| | | 2
| |
| | | 2.500
| |
| | | 549.153
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 38\83
| |
| | |
| |
| | | 7
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| | | 3
| |
| | | 2.333
| |
| | | 549.398
| |
| | |
| |
| |-
| |
| | |
| |
| | | 11\24
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 2
| |
| | | 1
| |
| | | 2.000
| |
| | | 550.000
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 39\85
| |
| | |
| |
| | | 7
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| | | 4
| |
| | | 1.750
| |
| | | 550.588
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 28\61
| |
| | |
| |
| | |
| |
| | | 5
| |
| | | 3
| |
| | | 1.667
| |
| | | 550.820
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | (5φ+1)/(11φ+2)
| |
| | | φ
| |
| | | 1
| |
| | | 1.618
| |
| | | 550.965
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 45\98
| |
| | |
| |
| | | 8
| |
| | | 5
| |
| | | 1.600
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| | | 551.020
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | | 17\37
| |
| | |
| |
| | |
| |
| | |
| |
| | | 3
| |
| | | 2
| |
| | | 1.500
| |
| | | 551.351
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 40\87
| |
| | |
| |
| | | 7
| |
| | | 5
| |
| | | 1.400 | |
| | | 551.724
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 23\50
| |
| | |
| |
| | |
| |
| | | 4
| |
| | | 3
| |
| | | 1.333
| |
| | | 552.000
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 29\63
| |
| | |
| |
| | | 5
| |
| | | 4
| |
| | | 1.250
| |
| | | 552.381
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | <sup>→</sup>35\76
| |
| | |
| |
| | | 6
| |
| | | 5
| |
| | | 1.200
| |
| | | 552.632
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | <sup>→</sup>41\89
| |
| | |
| |
| | | 7
| |
| | | 6
| |
| | | 1.167
| |
| | | 552.809
| |
| | |
| |
| |-
| |
| | | 6\13
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 1
| |
| | | 1
| |
| | | 1.000
| |
| | | 553.846
| |
| | |
| |
| |}
| |