28edt: Difference between revisions

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This is the simplest edt which intelligibly doubles the Anti-BP harmonic chain. It is a schismatic temperament, albeit a really strange one due to being a multiple of 4edt and being index-2 in BP.
'''28edt''' is the simplest [[edt]] which intelligibly doubles the Anti-BP harmonic chain. It is a schismatic temperament, albeit a really strange one due to being a multiple of 4edt and being index-2 in BP. One step is very close to every third step of [[53edo]].


It is very close to every third step of 53edo.
{| class="wikitable right-all left-4"
 
{| class="wikitable"
|-
|-
! | Degree
! Steps
! | cents
! [[cent]]s
!hekts
! [[hekt]]s
! | notation
! notation
|-
|-
| | 1/28
| 1
| | 67.93
| 67.927
|46.429
| 46.429
| | Cq/D\\y
| Cq/D\\y
|-
|-
| | 2/28
| 2
| | 135.85
| 135.854
|92.857
| 92.857
| | Cp/D\\
| Cp/D\\
|-
|-
| | 3/28
| 3
| | 203.78
| 203.781
|139.286
| 139.286
| | Cpq/Dy
| Cpq/Dy
|-
|-
| | 4/28
| 4
| | 271.71
| 271.708
|185.714
| 185.714
| | D
| D
|-
|-
| | 5/28
| 5
| | 339.635
| 339.635
|232.143
| 232.143
| | Dp/Ey
| Dp/Ey
|-
|-
| | 6/28
| 6
| | 407.56
| 407.562
|278.571
| 278.571
| | E
| E
|-
|-
| | 7/28
| 7
| | 475.49
| 475.489
|325
| 325.000
| | Epq/F\\y
| Epq/F\\y
|-
|-
| | 8/28
| 8
| | 543.42
| 543.416
|371.429
| 371.429
| | Ep/F\\
| Ep/F\\
|-
|-
| | 9/28
| 9
| | 611.34
| 611.343
|417.857
| 417.857
| | Eq/Fy
| Eq/Fy
|-
|-
| | 10/28
| 10
| | 679.27
| 679.270
|464.286
| 464.286
| | F
| F
|-
|-
| | 11/28
| 11
| | 747.2
| 747.197
|510.714
| 510.714
| | Fq/Gy
| Fq/Gy
|-
|-
| | 12/28
| 12
| | 815.12
| 815.124
|557.143
| 557.143
| | G
| G
|-
|-
| | 13/28
| 13
| | 883.05
| 883.051
|603.571
| 603.571
| | Gq/H\\y
| Gq/H\\y
|-
|-
| | 14/28
| 14
| | 950.98
| 950.978
|650
| 650.000
| | Gp/H\\
| Gp/H\\
|-
|-
| | 15/28
| 15
| | 1018.9
| 1018.904
|696.429
| 696.429
| | Gpq/Hy
| Gpq/Hy
|-
|-
| | 16/28
| 16
| | 1086.83
| 1086.831
|742.857
| 742.857
| | H
| H
|-
|-
| | 17/28
| 17
| | 1154.76
| 1154.758
|789.286
| 789.286
| | Hq/Jy
| Hq/Jy
|-
|-
| | 18/28
| 18
| | 1222.685
| 1222.685
|835.714
| 835.714
| | J
| J
|-
|-
| | 19/28
| 19
| | 1290.61
| 1290.612
|882.143
| 882.143
| | Jq/A\\y
| Jq/A\\y
|-
|-
| | 20/28
| 20
| | 1358.54
| 1358.539
|928.571
| 928.571
| | Jp/A\\
| Jp/A\\
|-
|-
| | 21/28
| 21
| | 1426.47
| 1426.466
|975
| 975.000
| | Jpq/Ay
| Jpq/Ay
|-
|-
| | 22/28
| 22
| | 1494.39
| 1494.393
|1021.429
| 1021.429
| | A
| A
|-
|-
| | 23/28
| 23
| | 1562.32
| 1562.320
|1067.857
| 1067.857
| | Aq/B\\y
| Aq/B\\y
|-
|-
| | 24/28
| 24
| | 1630.25
| 1630.247
|1114.286
| 1114.286
| | Ap/B\\
| Ap/B\\
|-
|-
| | 25/28
| 25
| | 1698.17
| 1698.174
|1160.714
| 1160.714
| | Apq/By
| Apq/By
|-
|-
| | 26/28
| 26
| | 1766.1
| 1766.101
|1207.143
| 1207.143
| | B
| B
|-
|-
| | 27/28
| 27
| | 1834.03
| 1834.028
|1253.571
| 1253.571
| | Bq/Cy
| Bq/Cy
|-
|-
| | 28/28
| 28
| | 1901.955
| 1901.955
|1300
| 1300.000
| | C
| C
|}
|}


[http://www.seraph.it/dep/det/NonOctaveMelancholic.mp3 NonOctave Melancholic] by [[Carlo_Serafini|Carlo Serafini]] ([http://www.seraph.it/blog_files/06940a530481965d791c521ea45012f2-267.html blog entry])
== Music ==
* [http://www.seraph.it/dep/det/NonOctaveMelancholic.mp3 NonOctave Melancholic] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/06940a530481965d791c521ea45012f2-267.html blog entry])

Revision as of 08:15, 15 March 2022

28edt is the simplest edt which intelligibly doubles the Anti-BP harmonic chain. It is a schismatic temperament, albeit a really strange one due to being a multiple of 4edt and being index-2 in BP. One step is very close to every third step of 53edo.

Steps cents hekts notation
1 67.927 46.429 Cq/D\\y
2 135.854 92.857 Cp/D\\
3 203.781 139.286 Cpq/Dy
4 271.708 185.714 D
5 339.635 232.143 Dp/Ey
6 407.562 278.571 E
7 475.489 325.000 Epq/F\\y
8 543.416 371.429 Ep/F\\
9 611.343 417.857 Eq/Fy
10 679.270 464.286 F
11 747.197 510.714 Fq/Gy
12 815.124 557.143 G
13 883.051 603.571 Gq/H\\y
14 950.978 650.000 Gp/H\\
15 1018.904 696.429 Gpq/Hy
16 1086.831 742.857 H
17 1154.758 789.286 Hq/Jy
18 1222.685 835.714 J
19 1290.612 882.143 Jq/A\\y
20 1358.539 928.571 Jp/A\\
21 1426.466 975.000 Jpq/Ay
22 1494.393 1021.429 A
23 1562.320 1067.857 Aq/B\\y
24 1630.247 1114.286 Ap/B\\
25 1698.174 1160.714 Apq/By
26 1766.101 1207.143 B
27 1834.028 1253.571 Bq/Cy
28 1901.955 1300.000 C

Music

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