User:Moremajorthanmajor/7L 4s (diminished twelfth-equivalent): Difference between revisions

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'''7L 4s<diminished twelfth>''' has a generator of a narrow wolf to wide wolf fourth of 458.{{Overline|18}} (3/11ed7/5) to [[Tel:538.7755|538.7755]] (2/7ed11/7) cents. Insofar as it may be said to be a Reformed mode, it is an authentic Locrian mode.
'''7L 4s<diminished twelfth>''' has a generator of a narrow wolf to wide wolf fourth of 458.{{Overline|18}}{{Cent}} (3/11ed7/5) to 538.7755{{Cent}} (2/7ed11/7). Insofar as it may be said to be a Reformed mode, it is an authentic Locrian mode.
==Scale tree==
== Scale tree==
{| class="wikitable center-all"
{| class="wikitable center-all"
! colspan="7" rowspan="2" |Generator
! colspan="7" rowspan="2" |Generator
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|-
|-
|3\11|| || || || ||
|3\11|| || || || ||
| ||514¢17’9”
| || 514¢17’9”
|514¢17’9”||1||1||1.000||
|514¢17’9”||1||1||1.000||
|-
|-
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|-
|-
| || || || || ||30\109
| || || || || ||30\109
| ||507¢2’32”
| || 507¢2’32”
|557¢44’47”||11||8||1.375||
|557¢44’47”||11||8||1.375||
|-
|-
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|-
|-
| || ||8\29|| || ||
| || ||8\29|| || ||
| ||505¢15’47”
| ||505¢15’47”
|568¢25’16”||3||2||1.500||L/s = 3/2
|568¢25’16”||3||2||1.500||L/s = 3/2
|-
|-
| || || || || ||29\105
| || || || || ||29\105
| ||504¢20’52”
| || 504¢20’52”
|573¢54’47”||11||7||1.571||
|573¢54’47”||11||7||1.571||
|-
|-
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|-
|-
| || || || || ||34\123
| || || || || ||34\123
| ||503.{{Overline|703}}
| || 503.{{Overline|703}}
|577.{{Overline|7}}||13||8||1.625||Unnamed golden tuning
|577.{{Overline|7}}||13||8||1.625||Unnamed golden tuning
|-
|-
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|-
|-
| || || || || ||31\112
| || || || || ||31\112
| ||502.{{Overline|702}}
| || 502.{{Overline|702}}
|583.{{Overline|783}}||12||7||1.714||
|583.{{Overline|783}}||12||7||1.714||
|-
|-
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|-
|-
| || || || || ||29\104
| || || || || ||29\104
| ||497¢8’34”
| || 497¢8’34”
|617¢8’34”||12||5||2.400||
|617¢8’34”||12||5||2.400||
|-
|-
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|-
|-
| || || || || ||31\111
| || || || || ||31\111
| ||496
| || 496
|624||13||5||2.600||Unnamed golden tuning
|624||13|| 5||2.600||Unnamed golden tuning
|-
|-
| || || || ||19\68||
| || || || ||19\68||
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|-
|-
| || ||7\25|| || ||
| || ||7\25|| || ||
| ||494¢7’4”
| ||494¢7’4”
|635¢17’39”||3||1||3.000||L/s = 3/1
|635¢17’39”||3||1||3.000||L/s = 3/1
|-
|-
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|-
|-
| || || ||9\32|| ||
| || || ||9\32|| ||
| ||490.{{Overline|90}}
| || 490.{{Overline|90}}
|654.{{Overline|54}}||4||1||4.000||
|654.{{Overline|54}}||4||1||4.000||
|-
|-
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|-
|-
|2\7|| || || || ||
|2\7|| || || || ||
| ||480
| || 480
|720||1||0||→ inf
|720||1||0||→ inf
|}
|}


<references />
<references />

Revision as of 04:03, 20 June 2023

7L 4s<diminished twelfth> has a generator of a narrow wolf to wide wolf fourth of 458.18 ¢ (3/11ed7/5) to 538.7755 ¢ (2/7ed11/7). Insofar as it may be said to be a Reformed mode, it is an authentic Locrian mode.

Scale tree

Generator Cents[1] L s L/s Comments
g 3L
3\11 514¢17’9” 514¢17’9” 1 1 1.000
17\62 510 540 6 5 1.200
14\51 509.09 545.45 5 4 1.250
25\91 508¢28’28” 549¢9’9” 9 7 1.286
11\40 507¢41’32” 553¢50’46” 4 3 1.333
30\109 507¢2’32” 557¢44’47” 11 8 1.375
19\69 506.6 560 7 5 1.400
27\98 506.25 562.5 10 7 1.428
8\29 505¢15’47” 568¢25’16” 3 2 1.500 L/s = 3/2
29\105 504¢20’52” 573¢54’47” 11 7 1.571
21\76 504 576 8 5 1.600
34\123 503.703 577.7 13 8 1.625 Unnamed golden tuning
13\47 503¢13’33” 580¢38’43” 5 3 1.667
31\112 502.702 583.783 12 7 1.714
18\65 502¢19’32” 586¢2’47” 7 4 1.750
23\83 501.81 589.09 9 5 1.800
28\101 501¢29’35” 591¢3’23” 11 6 1.833
5\18 500 600 2 1 2.000
27\97 498¢47’43” 609¢13’51” 11 5 2.200
22\79 498¢6’48” 611¢19’15” 9 4 2.250
17\61 497¢33’40” 614¢38’3” 7 3 2.333
29\104 497¢8’34” 617¢8’34” 12 5 2.400
12\43 496¢33’6” 620¢41’23” 5 2 2.500
31\111 496 624 13 5 2.600 Unnamed golden tuning
19\68 495¢39’8” 626¢5’13” 8 3 2.667
26\93 495¢14’17” 628¢34’17” 11 4 2.750
7\25 494¢7’4” 635¢17’39” 3 1 3.000 L/s = 3/1
30\107 493¢9’2” 641¢5’45” 13 4 3.250
23\82 492¢51’26” 642¢51’26” 10 3 3.333
16\57 492¢18’28” 646¢50’46” 7 2 3.500
25\89 491¢48’12” 649¢10’49” 11 3 3.667
9\32 490.90 654.54 4 1 4.000
20\71 489¢47’45” 661¢13’28” 9 2 4.500
11\39 488.8 666.6 5 1 5.000
13\46 487.5 675 6 1 6.000
2\7 480 720 1 0 → inf
  1. ↑ Fractions which repeat in more than 3 digits in sexagesimal
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