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| {{Infobox ET}} | | {{Infobox ET}} |
| '''13ed9/4''' is the equal division of [[9/4]] into 13 parts.
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| == Scale tree ==
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| Ed9/4 scales can be approximated in [[EDO]]s by subdividing their approximations of 9/4.
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| {| class="wikitable" | | {{Stub}} |
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| ! colspan="4" |Major ninth
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| !Period
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| !Notes
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| |9\8
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| |''103.846''
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| |Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins
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| |-
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| |17\15
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| |104.615
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| |-
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| |8\7
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| |105.4945
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| |Soft Aeolian mode ends, Flattone Aeolian mode begins
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| |-
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| |15\13
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| |106.509
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| |-
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| |22\19
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| |106.883
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| |Flattone Aeolian mode ends, Meantone Aeolian mode begins
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| |-
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| |29\25
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| |107.077
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| |-
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| |7\6
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| |''107.692''
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| | Meantone Aeolian mode ends, Superpyth Intense Aeolian mode begins
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| |-
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| |20\17
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| |108.597
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| |-
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| |13\11
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| |109.{{Overline|09}}
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| |Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins
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| |-
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| | 19\16
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| |109.615
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| |-
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| |6\5
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| |110.769
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| |Ultrapyth Intense Aeolian mode ends
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| |}
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Revision as of 13:34, 22 May 2024
| Prime factorization
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13 (prime)
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| Step size
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107.993 ¢
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| Octave
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11\13ed9/4 (1187.92 ¢)
(semiconvergent)
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| Twelfth
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18\13ed9/4 (1943.88 ¢)
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| Consistency limit
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3
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| Distinct consistency limit
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3
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13 equal divisions of 9/4 (abbreviated 13ed9/4) is a nonoctave tuning system that divides the interval of 9/4 into 13 equal parts of about 108 ¢ each. Each step represents a frequency ratio of (9/4)1/13, or the 13th root of 9/4.
