15ed7/4: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
'''15ED7/4''' is the [[Equal-step tuning|equal division]] of the [[7/4|harmonic seventh]] into fifteen parts of 64.5884 [[cent|cents]] each, corresponding to 18.5792 [[EDO]].
== Intervals ==
{| class="wikitable"
|-
! | degree
! | cents value
! | ratio
|-
| | 0
| | 0.0000
| | '''[[1/1]]'''
|-
| | 1
| | 64.5884
| | (7/4)<sup>1/15</sup>
|-
| | 2
| | 129.1769
| | (7/4)<sup>2/15</sup>
|-
| | 3
| | 193.7652
| | (7/4)<sup>1/5</sup>
|-
| | 4
| | 258.3536
| | (7/4)<sup>4/15</sup>
|-
| | 5
| | 322.9420
| | (7/4)<sup>1/3</sup>
|-
| | 6
| | 387.5304
| | (7/4)<sup>2/5</sup>
|-
| | 7
| | 452.1188
| | (7/4)<sup>7/15</sup>
|-
| | 8
| | 516.7072
| | (7/4)<sup>8/15</sup>
|-
| | 9
| | 581.2955
| | (7/4)<sup>3/5</sup>
|-
| | 10
| | 645.8839
| | (7/4)<sup>2/3</sup>
|-
| | 11
| | 710.4723
| | (7/4)<sup>11/15</sup>
|-
| | 12
| | 775.0607
| | (7/4)<sup>4/5</sup>
|-
| | 13
| | 839.6491
| | (7/4)<sup>13/15</sup>
|-
| | 14
| | 904.2375
| | (7/4)<sup>14/15</sup>
|-
| | 15
| | 968.8259
| | '''[[7/4]]'''
|}
== Music ==
* [https://www.youtube.com/watch?v=xZeb52D9aUY Hi Chat] by Mandrake

Revision as of 20:43, 24 June 2023

← 14ed7/4 15ed7/4 16ed7/4 →
Prime factorization 3 × 5
Step size 64.5884 ¢ 
Octave 19\15ed7/4 (1227.18 ¢)
Twelfth 29\15ed7/4 (1873.06 ¢)
(semiconvergent)
Consistency limit 2
Distinct consistency limit 2

15ED7/4 is the equal division of the harmonic seventh into fifteen parts of 64.5884 cents each, corresponding to 18.5792 EDO.

Intervals

degree cents value ratio
0 0.0000 1/1
1 64.5884 (7/4)1/15
2 129.1769 (7/4)2/15
3 193.7652 (7/4)1/5
4 258.3536 (7/4)4/15
5 322.9420 (7/4)1/3
6 387.5304 (7/4)2/5
7 452.1188 (7/4)7/15
8 516.7072 (7/4)8/15
9 581.2955 (7/4)3/5
10 645.8839 (7/4)2/3
11 710.4723 (7/4)11/15
12 775.0607 (7/4)4/5
13 839.6491 (7/4)13/15
14 904.2375 (7/4)14/15
15 968.8259 7/4

Music