23ed5/3: Difference between revisions

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!Degrees
!Degrees
! colspan="2" |Hexadecatonic
! colspan="2" |Hexadecatonic
!ed23\32
!Cents
![[63ed4]]
!ed5/3
!ed23\31
|-
|-
|1
|1
| colspan="2" |D
| colspan="2" |D
|37.5
|38.0952
|38.4504
|38.4504
|38.7097
|-
|-
|2
|2
|D#/Eb
|D#/Eb
|Dp/E\\
|Dp/E\\
|75
|76.1905
|76.9008
|76.9008
|77.41935
|-
|-
|3
|3
| colspan="2" |E
| colspan="2" |E
|112.5
|114.2857
|115.3511
|115.3511
|116.129
|-
|-
|4
|4
| colspan="2" |F
| colspan="2" |F
|150
|152.38095
|153.8015
|153.8015
|154.8387
|-
|-
|5
|5
|F#/Gb~0b
|F#/Gb~0b
|Fp/G\\~0\\
|Fp/G\\~0\\
|187.5
|190.4762
|192.2519
|192.2519
|193.5484
|-
|-
|6
|6
| colspan="2" |G~0
| colspan="2" |G~0
|225
|228.5714
|230.7023
|230.7023
|233.2581
|-
|-
|7
|7
| colspan="2" |1
| colspan="2" |1
|252.5
|266.6667
|269.15235
|269.15235
|270.9678
|-
|-
|8
|8
|1#/2b
|1#/2b
|1p/2\\
|1p/2\\
|300
|304.7619
|307.603
|307.603
|309.6774
|-
|-
|9
|9
| colspan="2" |2
| colspan="2" |2
|337.5
|342.8571
|346.0534
|346.0534
|348.3871
|-
|-
|10
|10
| colspan="2" |3
| colspan="2" |3
|375
|380.9524
|384.5038
|384.5038
|387.0968
|-
|-
|11
|11
|3#/4(b)
|3#/4(b)
|3p\4(//)
|3p\4(//)
|412.5
|419.0476
|422.9542
|422.9542
|425.80645
|-
|-
|12
|12
|4(#)/5b
|4(#)/5b
|4(p)/5\\
|4(p)/5\\
|450
|457.1429
|461.40455
|461.40455
|464.5161
|-
|-
|13
|13
| colspan="2" |5
| colspan="2" |5
|487.5
|495.2381
|499.8549
|499.8549
|503.2258
|-
|-
|14
|14
| colspan="2" |6
| colspan="2" |6
|525
|533.3333
|538.3053
|538.3053
|541.9355
|-
|-
|15
|15
|6#/7b
|6#/7b
|6p/7\\
|6p/7\\
|562.5
|571.4286
|576.7557
|576.7557
|580.6452
|-
|-
|16
|16
| colspan="2" |7
| colspan="2" |7
|600
|609.5238
|615.2061
|615.2061
|619.3548
|-
|-
|17
|17
| colspan="2" |8
| colspan="2" |8
|637.5
|647.61905
|653.6564
|653.6564
|658.0645
|-
|-
|18
|18
|8#/9b
|8#/9b
|8p/9\\
|8p/9\\
|675
|685.7143
|692.1068
|692.1068
|696.7742
|-
|-
|19
|19
| colspan="2" |9
| colspan="2" |9
|712.5
|723.8095
|730.5572
|730.5572
|735.4939
|-
|-
|20
|20
| colspan="2" |A
| colspan="2" |A
|750
|761.9048
|769.0076
|769.0076
|774.19355
|-
|-
|21
|21
|A#/Bb
|A#/Bb
|Ap\B\\
|Ap\B\\
|787.5
|800
|807.45795
|807.45795
|812.9132
|-
|-
|22
|22
| colspan="2" |B
| colspan="2" |B
|825
|838.0952
|845.9083
|845.9083
|851.6129
|-
|-
|23
|23
| colspan="2" |C
| colspan="2" |C
|862.5
|876.1905
|884.3587
|884.3587
|890.3226
|}
|}


[[Category:Nonoctave]]
[[Category:Nonoctave]]

Revision as of 02:41, 4 May 2023

← 22ed5/3 23ed5/3 24ed5/3 →
Prime factorization 23 (prime)
Step size 38.4504 ¢ 
Octave 31\23ed5/3 (1191.96 ¢)
Twelfth 49\23ed5/3 (1884.07 ¢)
Consistency limit 5
Distinct consistency limit 5

23ed5/3 is the equal division of the just major sixth into 23 parts of 38.4504 cents each, corresponding to 31.2091edo. It is very closely related to the slender temperament.

Degrees Hexadecatonic Cents
1 D 38.4504
2 D#/Eb Dp/E\\ 76.9008
3 E 115.3511
4 F 153.8015
5 F#/Gb~0b Fp/G\\~0\\ 192.2519
6 G~0 230.7023
7 1 269.15235
8 1#/2b 1p/2\\ 307.603
9 2 346.0534
10 3 384.5038
11 3#/4(b) 3p\4(//) 422.9542
12 4(#)/5b 4(p)/5\\ 461.40455
13 5 499.8549
14 6 538.3053
15 6#/7b 6p/7\\ 576.7557
16 7 615.2061
17 8 653.6564
18 8#/9b 8p/9\\ 692.1068
19 9 730.5572
20 A 769.0076
21 A#/Bb Ap\B\\ 807.45795
22 B 845.9083
23 C 884.3587