User:Moremajorthanmajor/43wtn: Difference between revisions

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A '''43 tone well tempered nonet''' (43WTN) is related to well temperaments of [[36edo]] and [[37edo]], but with a nonet rather than the 2/1 being constant.
A '''43 tone well tempered nonet''' (43WTN) is related to well temperaments of [[36edo]] and [[37edo]], but with a nonet rather than the 2/1 being constant.
== Patent Intervals ==
{| class="wikitable"
|+
!
!Alternating [[edo]] and *ed(9/8) a
!Alternating edo and *ed(9/8) b
|-
|1
|33.3333
|32.4324
|-
|2
|66.6667
|64.8649
|-
|3
|100
|97.2973
|-
|4
|133.3333
|129.7297
|-
|5
|166.6667
|162.1622
|-
|6
|200
|194.5946
|-
|7
|233.3333
|227.027
|-
|8
|266.6667
|259.4595
|-
|9
|300
|291.8919
|-
|10
|333.3333
|324.3243
|-
|11
|366.6667
|356.7568
|-
|12
|400
|389.1892
|-
|13
|433.3333
|421.6216
|-
|14
|466.6667
|454.05405
|-
|15
|500.00
|486.4865
|-
|16
|533.3333
|518.9189
|-
|17
|566.6667
|551.35135
|-
|18
|600
|583.7838
|-
|19
|633.3333
|616.2162
|-
|20
|666.6667
|648.64865
|-
|21
|700
|681.0811
|-
|22
|733.3333
|713.5135
|-
|23
|766.6667
|745.94595
|-
|24
|800
|778.3784
|-
|25
|833.3333
|810.8108
|-
|26
|866.6667
|843.2432
|-
|27
|900
|875.6757
|-
|28
|933.3333
|908.1081
|-
|29
|966.6667
|940.5405
|-
|30
|1000
|972.973
|-
|31
|1033.3333
|1005.4054
|-
|32
|1066.6667
|1037.8379
|-
|33
|1100
|1070.2703
|-
|34
|1133.3333
|1102.7027
|-
|35
|1166.6667
|1135.1351
|-
|36
|1200
|1167.5676
|-
|37
|1229.13
|1200
|-
|38
|1258.26
|1233.985
|-
|39
|1287.39
|1267.97
|-
|40
|1316.52
|1301.995
|-
|41
|1345.65
|1335.94
|-
|42
|1374.78
|1369.925
|-
|43
! colspan="2" |1403.91
|}

Revision as of 18:55, 9 June 2021

A 43 tone well tempered nonet (43WTN) is related to well temperaments of 36edo and 37edo, but with a nonet rather than the 2/1 being constant.

Patent Intervals

Alternating edo and *ed(9/8) a Alternating edo and *ed(9/8) b
1 33.3333 32.4324
2 66.6667 64.8649
3 100 97.2973
4 133.3333 129.7297
5 166.6667 162.1622
6 200 194.5946
7 233.3333 227.027
8 266.6667 259.4595
9 300 291.8919
10 333.3333 324.3243
11 366.6667 356.7568
12 400 389.1892
13 433.3333 421.6216
14 466.6667 454.05405
15 500.00 486.4865
16 533.3333 518.9189
17 566.6667 551.35135
18 600 583.7838
19 633.3333 616.2162
20 666.6667 648.64865
21 700 681.0811
22 733.3333 713.5135
23 766.6667 745.94595
24 800 778.3784
25 833.3333 810.8108
26 866.6667 843.2432
27 900 875.6757
28 933.3333 908.1081
29 966.6667 940.5405
30 1000 972.973
31 1033.3333 1005.4054
32 1066.6667 1037.8379
33 1100 1070.2703
34 1133.3333 1102.7027
35 1166.6667 1135.1351
36 1200 1167.5676
37 1229.13 1200
38 1258.26 1233.985
39 1287.39 1267.97
40 1316.52 1301.995
41 1345.65 1335.94
42 1374.78 1369.925
43 1403.91
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