13ed9/4: Difference between revisions

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CompactStar (talk | contribs)
Merging scale tree from 13edIX
CompactStar (talk | contribs)
Removing ninths which are definitively not major
Line 10: Line 10:
!Period
!Period
!Notes
!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
|9\8

Revision as of 00:27, 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
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