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 538.7755¢ (2/7ed11/7). 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 458.182¢ (3/11ed7/5) to 538.776¢ (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"
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|
|
|-
|-
| 14\51||509.{{Overline|09}}
| 14\51||509.091
|545.{{Overline|45}}||5||4||1.250||
|545.455||5||4||1.250||
|-
|-
|39\142
|39\142
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|
|
|-
|-
| 19\69 ||506.{{Overline|6}}
| 19\69 ||506.667
|560.000||7||5||1.400||
|560.000||7||5||1.400||
|-
|-
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|-
|-
|37\134
|37\134
|504.{{Overline|54}}
|504.545
|572.{{Overline|72}}
|572.727
|14
|14
|9
|9
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|576.000||8||5||1.600||
|576.000||8||5||1.600||
|-
|-
| 34\123|| 503.{{Overline|703}}
| 34\123|| 503.704
|577.{{Overline|7}}||13||8||1.625||Unnamed golden tuning
|577.778||13||8||1.625||Unnamed golden tuning
|-
|-
|47\170
|47\170
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|
|
|-
|-
| 31\112|| 502.{{Overline|702}}
| 31\112|| 502.703
|583.{{Overline|783}}||12||7||1.714||
|583.784||12||7||1.714||
|-
|-
|49\177
|49\177
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|
|
|-
|-
| 23\83||501.{{Overline|81}}
| 23\83||501.818
|589.{{Overline|09}}||9||5||1.800||
|589.081||9||5||1.800||
|-
|-
|28\101
|28\101
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|-
|-
|42\151
|42\151
|499.{{Overline|0099}}
|499.010
|605.{{Overline|9405}}
|605.941
|17
|17
|8
|8
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|-
|-
|46\165
|46\165
|497.{{Overline|297}}
|497.297
|616.{{Overline|216}}
|616.216
|19
|19
|8
|8
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|-
|-
|41\147
|41\147
|496.{{Overline|96}}
|496.970
|618.{{Overline|18}}
|618.182
|17
|17
|7
|7
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|
|
|-
|-
| 9\32|| 490.{{Overline|90}}
| 9\32|| 490.909
|654.{{Overline|54}}||4||1||4.000||
|654.545||4||1||4.000||
|-
|-
|29\103
|29\103
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|
|
|-
|-
| 11\39||488.{{Overline|8}}
| 11\39||488.889
|666.{{Overline|6}}||5||1||5.000||
|666.667||5||1||5.000||
|-
|-
|24\85
|24\85
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|-
|-
|15\53
|15\53
|486.{{Overline|486}}
|486.486
|681.{{Overline|081}}
|681.081
|7
|7
|1
|1
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|}
|}
==See also==
==See also==
[[7L 4s (8/3-equivalent)]] - warped Pythagorean tuning
[[7L 4s (343/128-equivalent)]] - 1/2-comma Archytas tuning
[[7L 4s (e-equivalent)|7L 4s ([math]e[/math]-equivalent)]] - natural tuning
[[7L 4s (e-equivalent)|7L 4s ([math]e[/math]-equivalent)]] - natural tuning
[[7L 4s (49/18-equivalent)]] - 1/3-comma Archytas tuning


[[7L 4s (11/4-equivalent)]] - idealized low tuning, low undecimal tuning
[[7L 4s (11/4-equivalent)]] - idealized low tuning, low undecimal tuning
[[7L 4s (224/81-equivalent)]] - 1/6-comma Archytas tuning


[[7L 4s (14/5-equivalent)]] - low septimal tuning
[[7L 4s (14/5-equivalent)]] - low septimal tuning


[[7L 4s (20/7-equivalent)]] - idealized high tuning, high septimal tuning
[[7L 4s (1024/729-equivalent)]] - Pythagorean tuning
 
[[7L 4s (45/16-equivalent)]] - 1/6-comma meantone tuning
 
[[7L 4s (20/7-equivalent)]] - idealized high tuning, high septimal (meantone) tuning
 
[[7L 4s (72/25-equivalent)]] - 1/3-comma meantone tuning
 
[[7L 4s (32/11-equivalent)]] - high undecimal tuning
 
[[7L 4s (729/250-equivalent)]] - 1/2-comma meantone tuning


[[7L 4s (32/11-equivalent)]] - high undecimal tuning<references />
[[7L 4s (3/1-equivalent)]] - superelectric<references />