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=Equal division of the perfect fifth (3/2) into 6 equal parts=
'''6edf''' is the '''6-part equal division of the fifth''' ([[3/2]]) AKA "6th root of 3/2".
(a.k.a. "6th root of 3/2")


The single step of 6-edf is 116.9925 cents. This is very close to the size of the [[Regular_Temperaments#miracle|miracle]] generator, and thus this scale is close to the "nonoctave miracle" scale...
The single step of 6-edf is 116.9925 cents. This is very close to the size of the [[Regular_Temperaments#miracle|miracle]] generator, and thus this scale is close to the "nonoctave miracle" scale...
 
__TOC__
==Compositions==
== Intervals ==
[http://www.seraph.it/dep/det/metashakti.mp3 Metashakti] by [[Carlo_Serafini|Carlo Serafini]]
 
==Intervals==


{| class="wikitable"
{| class="wikitable"
|-
|-
| | degrees
! degrees
| | cents ~ cents octave-reduced
! cents ~ cents octave-reduced
|-
|-
| | 0
| 0
| | 0 (perfect unison, 1:1)
| 0 (perfect unison, 1:1)
|-
|-
| | 1
| 1
| | 117
| 117
|-
|-
| | 2
| 2
| | 234
| 234
|-
|-
| | 3
| 3
| | 351
| 351
|-
|-
| | 4
| 4
| | 468
| 468
|-
|-
| | 5
| 5
| | 585
| 585
|-
|-
| | 6
| 6
| | 702 (just perfect fifth, 3:2)
| 702 (just perfect fifth, 3:2)
|-
|-
| | 7
| 7
| | 819
| 819
|-
|-
| | 8
| 8
| | 936
| 936
|-
|-
| | 9
| 9
| | 1053
| 1053
|-
|-
| | 10
| 10
| | 1170
| 1170
|-
|-
| | 11
| 11
| | 1287 ~ 87
| 1287 ~ 87
|-
|-
| | 12
| 12
| | 1404 ~ 204 (just major whole tone/ninth, 9:4)
| 1404 ~ 204 (just major whole tone/ninth, 9:4)
|-
|-
| | 13
| 13
| | 1521 ~ 321
| 1521 ~ 321
|-
|-
| | 14
| 14
| | 1638 ~ 438
| 1638 ~ 438
|-
|-
| | 15
| 15
| | 1755 ~ 555
| 1755 ~ 555
|-
|-
| | 16
| 16
| | 1872 ~ 672
| 1872 ~ 672
|-
|-
| | 17
| 17
| | 1988 ~ 788
| 1988 ~ 788
|-
|-
| | 18
| 18
| | 2106 ~ 906 (Pythagorean major sixth, 27:8)
| 2106 ~ 906 (Pythagorean major sixth, 27:8)
|-
|-
| | 19
| 19
| | 2223 ~ 1023
| 2223 ~ 1023
|-
|-
| | 20
| 20
| | 2340 ~ 1140
| 2340 ~ 1140
|-
|-
| | 21
| 21
| | 2457 ~ 57
| 2457 ~ 57
|-
|-
| | 22
| 22
| | 2574 ~ 174
| 2574 ~ 174
|-
|-
| | 23
| 23
| | 2691 ~ 291
| 2691 ~ 291
|-
|-
| | 24
| 24
| | 2808 ~ 408 (Pythagorean major third, 81:16)
| 2808 ~ 408 (Pythagorean major third, 81:16)
|}
|}
[[Category:edf]]
 
[[Category:edonoi]]
== Compositions ==
[[Category:listen]]
* [http://www.seraph.it/dep/det/metashakti.mp3 Metashakti] by [[Carlo Serafini]]
 
[[Category:Edf]]
[[Category:Nonoctave]]
[[Category:Listen]]

Revision as of 14:14, 28 October 2018

6edf is the 6-part equal division of the fifth (3/2) AKA "6th root of 3/2".

The single step of 6-edf is 116.9925 cents. This is very close to the size of the miracle generator, and thus this scale is close to the "nonoctave miracle" scale...

Intervals

degrees cents ~ cents octave-reduced
0 0 (perfect unison, 1:1)
1 117
2 234
3 351
4 468
5 585
6 702 (just perfect fifth, 3:2)
7 819
8 936
9 1053
10 1170
11 1287 ~ 87
12 1404 ~ 204 (just major whole tone/ninth, 9:4)
13 1521 ~ 321
14 1638 ~ 438
15 1755 ~ 555
16 1872 ~ 672
17 1988 ~ 788
18 2106 ~ 906 (Pythagorean major sixth, 27:8)
19 2223 ~ 1023
20 2340 ~ 1140
21 2457 ~ 57
22 2574 ~ 174
23 2691 ~ 291
24 2808 ~ 408 (Pythagorean major third, 81:16)

Compositions

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