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'''23ED5/3''' is the [[EdVI|equal division of the just major sixth]] into 23 parts of 38.4504 [[cent|cents]] each, corresponding to 31.2091 [[edo]]. It is very closely related to the [[Marvel temperaments|slender temperament]]. | '''23ED5/3''' is the [[EdVI|equal division of the just major sixth]] into 23 parts of 38.4504 [[cent|cents]] each, corresponding to 31.2091 [[edo]]. It is very closely related to the [[Marvel temperaments|slender temperament]]. | ||
{| class="wikitable" | |||
|+ | |||
!Degrees | |||
! colspan="2" |Hexadecatonic | |||
!ed23\32 | |||
![[63ed4]] | |||
!ed5/3 | |||
!ed23\31 | |||
|- | |||
|1 | |||
| colspan="2" |D | |||
|37.5 | |||
|38.0952 | |||
|38.4504 | |||
|38.7097 | |||
|- | |||
|2 | |||
|D#/Eb | |||
|Dp/E\\ | |||
|75 | |||
|76.1905 | |||
|76.9008 | |||
|77.41935 | |||
|- | |||
|3 | |||
| colspan="2" |E | |||
|112.5 | |||
|114.2857 | |||
|115.3511 | |||
|116.129 | |||
|- | |||
|4 | |||
| colspan="2" |F | |||
|150 | |||
|152.38095 | |||
|153.8015 | |||
|154.8387 | |||
|- | |||
|5 | |||
|F#/Gb~0b | |||
|Fp/G\\~0\\ | |||
|187.5 | |||
|190.4762 | |||
|192.2519 | |||
|193.5484 | |||
|- | |||
|6 | |||
| colspan="2" |G~0 | |||
|225 | |||
|228.5714 | |||
|230.7023 | |||
|233.2581 | |||
|- | |||
|7 | |||
| colspan="2" |1 | |||
|252.5 | |||
|266.6667 | |||
|269.15235 | |||
|270.9678 | |||
|- | |||
|8 | |||
|1#/2b | |||
|1p/2\\ | |||
|300 | |||
|304.7619 | |||
|307.603 | |||
|309.6774 | |||
|- | |||
|9 | |||
| colspan="2" |2 | |||
|337.5 | |||
|342.8571 | |||
|346.0534 | |||
|348.3871 | |||
|- | |||
|10 | |||
| colspan="2" |3 | |||
|375 | |||
|380.9524 | |||
|384.5038 | |||
|387.0968 | |||
|- | |||
|11 | |||
|3#/4(b) | |||
|3p\4(//) | |||
|412.5 | |||
|419.0476 | |||
|422.9542 | |||
|425.80645 | |||
|- | |||
|12 | |||
|4(#)/5b | |||
|4(p)/5\\ | |||
|450 | |||
|457.1429 | |||
|461.40455 | |||
|464.5161 | |||
|- | |||
|13 | |||
| colspan="2" |5 | |||
|487.5 | |||
|495.2381 | |||
|499.8549 | |||
|503.2258 | |||
|- | |||
|14 | |||
| colspan="2" |6 | |||
|525 | |||
|533.3333 | |||
|538.3053 | |||
|541.9355 | |||
|- | |||
|15 | |||
|6#/7b | |||
|6p/7\\ | |||
|562.5 | |||
|571.4286 | |||
|576.7557 | |||
|580.6452 | |||
|- | |||
|16 | |||
| colspan="2" |7 | |||
|600 | |||
|609.5238 | |||
|615.2061 | |||
|619.3548 | |||
|- | |||
|17 | |||
| colspan="2" |8 | |||
|637.5 | |||
|647.61905 | |||
|653.6564 | |||
|658.0645 | |||
|- | |||
|18 | |||
|8#/9b | |||
|8p/9\\ | |||
|675 | |||
|685.7143 | |||
|692.1068 | |||
|696.7742 | |||
|- | |||
|19 | |||
| colspan="2" |9 | |||
|712.5 | |||
|723.8095 | |||
|730.5572 | |||
|735.4939 | |||
|- | |||
|20 | |||
| colspan="2" |A | |||
|750 | |||
|761.9048 | |||
|769.0076 | |||
|774.19355 | |||
|- | |||
|21 | |||
|A#/Bb | |||
|Ap\B\\ | |||
|787.5 | |||
|800 | |||
|807.45795 | |||
|812.9132 | |||
|- | |||
|22 | |||
| colspan="2" |B | |||
|825 | |||
|838.0952 | |||
|845.9083 | |||
|851.6129 | |||
|- | |||
|23 | |||
| colspan="2" |C | |||
|862.5 | |||
|876.1905 | |||
|884.3587 | |||
|890.3226 | |||
|} | |||
[[Category:EdVI]] | [[Category:EdVI]] | ||
[[Category:Nonoctave]] | [[Category:Nonoctave]] | ||
Revision as of 17:10, 9 July 2019
23ED5/3 is the equal division of the just major sixth into 23 parts of 38.4504 cents each, corresponding to 31.2091 edo. It is very closely related to the slender temperament.
| Degrees | Hexadecatonic | ed23\32 | 63ed4 | ed5/3 | ed23\31 | |
|---|---|---|---|---|---|---|
| 1 | D | 37.5 | 38.0952 | 38.4504 | 38.7097 | |
| 2 | D#/Eb | Dp/E\\ | 75 | 76.1905 | 76.9008 | 77.41935 |
| 3 | E | 112.5 | 114.2857 | 115.3511 | 116.129 | |
| 4 | F | 150 | 152.38095 | 153.8015 | 154.8387 | |
| 5 | F#/Gb~0b | Fp/G\\~0\\ | 187.5 | 190.4762 | 192.2519 | 193.5484 |
| 6 | G~0 | 225 | 228.5714 | 230.7023 | 233.2581 | |
| 7 | 1 | 252.5 | 266.6667 | 269.15235 | 270.9678 | |
| 8 | 1#/2b | 1p/2\\ | 300 | 304.7619 | 307.603 | 309.6774 |
| 9 | 2 | 337.5 | 342.8571 | 346.0534 | 348.3871 | |
| 10 | 3 | 375 | 380.9524 | 384.5038 | 387.0968 | |
| 11 | 3#/4(b) | 3p\4(//) | 412.5 | 419.0476 | 422.9542 | 425.80645 |
| 12 | 4(#)/5b | 4(p)/5\\ | 450 | 457.1429 | 461.40455 | 464.5161 |
| 13 | 5 | 487.5 | 495.2381 | 499.8549 | 503.2258 | |
| 14 | 6 | 525 | 533.3333 | 538.3053 | 541.9355 | |
| 15 | 6#/7b | 6p/7\\ | 562.5 | 571.4286 | 576.7557 | 580.6452 |
| 16 | 7 | 600 | 609.5238 | 615.2061 | 619.3548 | |
| 17 | 8 | 637.5 | 647.61905 | 653.6564 | 658.0645 | |
| 18 | 8#/9b | 8p/9\\ | 675 | 685.7143 | 692.1068 | 696.7742 |
| 19 | 9 | 712.5 | 723.8095 | 730.5572 | 735.4939 | |
| 20 | A | 750 | 761.9048 | 769.0076 | 774.19355 | |
| 21 | A#/Bb | Ap\B\\ | 787.5 | 800 | 807.45795 | 812.9132 |
| 22 | B | 825 | 838.0952 | 845.9083 | 851.6129 | |
| 23 | C | 862.5 | 876.1905 | 884.3587 | 890.3226 | |