13ed9/4: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
'''13ed9/4''' is the equal division of [[9/4]] into 13 parts.
== Scale tree ==
Ed9/4 scales can be approximated in [[EDO]]s by subdividing their approximations of 9/4.
{| class="wikitable"
|+
! colspan="4" |Major ninth
!Period
!Notes
|-
|1/1
|
|
|
|''92.308''
| Soft Phrygian mode begins
|-
|
|23\22
|
|
| 96.5035
|
|-
|22\21
|
|
|
|96.703
|Soft Phrygian mode ends, Thirdtone Phrygian mode begins
|-
|21\20
|
|
|
|96.923
|
|-
|20\19
|
|
|
| 97.166
|
|-
|19\18
|
|
|
|97.436
|
|-
|
|37\35
|
|
|97.582
|
|-
|18\17
|
|
|
|97.738
|
|-
|17\16
|
|
|
|98.077
|
|-
|16\15
|
|
|
|98.4615
|Thirdtone Phrygian mode ends
|-
|15\14
|
|
|
|98.901
|Semitone Phrygian mode begins
|-
|14\13
|
|
|
|99.408
|
|-
|
|27\25
|
|
|99.692
|
|-
|13\12
|
|
|
|''100''
|
|-
|12\11
|
|
|
|100.699
|
|-
|11\10
|
|
|
|101.5385
|Semitone Phrygian mode ends, Intense Phrygian mode begins
|-
|
| 21\19
|
|
|102.024
|
|-
|10\9
|
|
|
|102.564
|Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins
|-
|
|19\17
|
|
|103.167
|
|-
|9\8
|
|
|
|''103.846''
|Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins
|-
|
|17\15
|
|
|104.615
|
|-
|8\7
|
|
|
|105.4945
|Soft Aeolian mode ends, Flattone Aeolian mode begins
|-
|
|15\13
|
|
|106.509
|
|-
|
|
|22\19
|
|106.883
|Flattone Aeolian mode ends, Meantone Aeolian mode begins
|-
|
|
|
|29\25
|107.077
|
|-
|7\6
|
|
|
|''107.692''
| Meantone Aeolian mode ends, Superpyth Intense Aeolian mode begins
|-
|
|
|20\17
|
|108.597
|
|-
|
|13\11
|
|
|109.{{Overline|09}}
|Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins
|-
|
|
| 19\16
|
|109.615
|
|-
|6\5
|
|
|
|110.769
|Ultrapyth Intense Aeolian mode ends
|}

Revision as of 00:26, 23 May 2023

← 11ed9/4 13ed9/4 15ed9/4 →
Prime factorization 13 (prime)
Step size 107.993 ¢ 
Octave 11\13ed9/4 (1187.92 ¢)
(semiconvergent)
Twelfth 18\13ed9/4 (1943.88 ¢)
Consistency limit 3
Distinct consistency limit 3

13ed9/4 is the equal division of 9/4 into 13 parts.

Scale tree

Ed9/4 scales can be approximated in EDOs by subdividing their approximations of 9/4.

Major ninth Period Notes
1/1 92.308 Soft Phrygian mode begins
23\22 96.5035
22\21 96.703 Soft Phrygian mode ends, Thirdtone Phrygian mode begins
21\20 96.923
20\19 97.166
19\18 97.436
37\35 97.582
18\17 97.738
17\16 98.077
16\15 98.4615 Thirdtone Phrygian mode ends
15\14 98.901 Semitone Phrygian mode begins
14\13 99.408
27\25 99.692
13\12 100
12\11 100.699
11\10 101.5385 Semitone Phrygian mode ends, Intense Phrygian mode begins
21\19 102.024
10\9 102.564 Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins
19\17 103.167
9\8 103.846 Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins
17\15 104.615
8\7 105.4945 Soft Aeolian mode ends, Flattone Aeolian mode begins
15\13 106.509
22\19 106.883 Flattone Aeolian mode ends, Meantone Aeolian mode begins
29\25 107.077
7\6 107.692 Meantone Aeolian mode ends, Superpyth Intense Aeolian mode begins
20\17 108.597
13\11 109.09 Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins
19\16 109.615
6\5 110.769 Ultrapyth Intense Aeolian mode ends
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