User:Moremajorthanmajor/46wtn - Revision history

Sintel: Sintel moved page 46wtn to User:Moremajorthanmajor/46wtn

2025-03-31T17:21:53Z

Sintel moved page 46wtn to User:Moremajorthanmajor/46wtn

← Older revision	Revision as of 17:21, 31 March 2025
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BudjarnLambeth: Categorised this uncategorised page

2023-04-25T09:42:38Z

Categorised this uncategorised page

← Older revision		Revision as of 09:42, 25 April 2023
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	! colspan="2" \|1403.91		! colspan="2" \|1403.91
	\|}		\|}
			[[Category:Well tempered nonet]]
			[[Category:39edo]]
			[[Category:40edo]]
			[[Category:23edf]]

Moremajorthanmajor at 22:34, 16 June 2021

2021-06-16T22:34:34Z

← Older revision		Revision as of 22:34, 16 June 2021
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	A '''46 tone well tempered nonet''' (46WTN) is related to well temperaments of [[39edo]] and [[40edo]], but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alternate [[EDF\|division of the just perfect fifth]] into 23 equal parts (23EDF) with sequences of twenty-three equal steps of 26.087 to 34.7826 cents each. This will create twenty-~~two~~ equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.		A '''46 tone well tempered nonet''' (46WTN) is related to well temperaments of [[39edo]] and [[40edo]], but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alternate [[EDF\|division of the just perfect fifth]] into 23 equal parts (23EDF) with sequences of twenty-three equal steps of 26.087 to 34.7826 cents each. This will create twenty-three equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.

	== Patent Intervals ==		== Patent Intervals ==

Moremajorthanmajor: Created page with "A '''46 tone well tempered nonet''' (46WTN) is related to well temperaments of 39edo and 40edo, but with a nonet rather than the 2/1 being constant. Its patent tunings..."

2021-06-12T20:53:04Z

Created page with "A '''46 tone well tempered nonet''' (46WTN) is related to well temperaments of 39edo and 40edo, but with a nonet rather than the 2/1 being constant. Its patent tunings..."

New page

A '''46 tone well tempered nonet''' (46WTN) is related to well temperaments of [[39edo]] and [[40edo]], but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alternate [[EDF|division of the just perfect fifth]] into 23 equal parts (23EDF) with sequences of twenty-three equal steps of 26.087 to 34.7826 cents each. This will create twenty-two equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.

== Patent Intervals ==
{| class="wikitable"
|+
!
!Target a
!Target b
!Alternating [[edo]] and *ed(9/8) a
!Alternating edo and *ed(9/8) b
|-
|1
! colspan="2" |30.5198
|30.7692
|30
|-
|2
! colspan="2" |61.0296
|61.5385
|60
|-
|3
! colspan="2" |91.5593
|92.3077
|90
|-
|4
! colspan="2" |122.0791
|123.0769
|120
|-
|5
! colspan="2" |152.5989
|153.84615
|150
|-
|6
! colspan="2" |183.1187
|184.6154
|180
|-
|7
! colspan="2" |213.6385
|215.3846
|210
|-
|8
! colspan="2" |244.1583
|246.15385
|240
|-
|9
! colspan="2" |274.678
|276.9231
|270
|-
|10
! colspan="2" |305.1978
|307.6923
|300
|-
|11
! colspan="2" |335.7176
|338.4615
|330
|-
|12
! colspan="2" |366.2374
|369.2308
|360
|-
|13
! colspan="2" |396.7572
|400.0000
|390
|-
|14
! colspan="2" |427.277
|430.7692
|420
|-
|15
! colspan="2" |457.7967
|461.5385
|450
|-
|16
! colspan="2" |488.3165
|492.3077
|480
|-
|17
! colspan="2" |518.8363
|523.0769
|510
|-
|18
! colspan="2" |549.3561
|553.84615
|540
|-
|19
! colspan="2" |579.8759
|584.6154
|570
|-
|20
! colspan="2" |610.39565
|615.3846
|600
|-
|21
! colspan="2" |640.9154
|646.15385
|630
|-
|22
! colspan="2" |671.4352
|676.9231
|660
|-
|23
! colspan="2" |701.955
|707.6923
|690
|-
|24
|733.0828
|731.2518
|738.4615
|720
|-
|25
|764.2106
|760.5485
|769.2308
|750
|-
|26
|795.3384
|789.8453
|800.0000
|780
|-
|27
|826.46625
|819.1421
|830.7692
|810
|-
|28
|857.5941
|848.4388
|861.5385
|840
|-
|29
|888.7119
|877.7356
|892.3077
|870
|-
|30
|919.8397
|907.03235
|923.0769
|900
|-
|31
|950.9775
|936.3291
|953.84615
|930
|-
|32
|982.1053
|965.6259
|984.6154
|960
|-
|33
|1013.2331
|994.92265
|1015.3846
|990
|-
|34
|1044.3609
|1024.2194
|1046.15385
|1020
|-
|35
|1075.4887
|1053.5162
|1076.9231
|1050
|-
|36
|1106.6166
|1082.8129
|1107.6923
|1080
|-
|37
|1137.7444
|1112.1547
|1138.4615
|1110
|-
|38
|1168.8722
|1141.4515
|1169.2308
|1140
|-
|39
|1200
|1170.7032
|1200
|1170
|-
|40
|1231.1278
|1200
|1229.13
|1200
|-
|41
|1262.2556
|1229.2968
|1258.26
|1233.985
|-
|42
|1293.3934
|1258.5935
|1287.39
|1267.97
|-
|43
|1324.51125
|1287.8903
|1316.52
|1301.995
|-
|44
|1355.6391
|1317.1871
|1345.65
|1335.94
|-
|45
|1386.7669
|1346.4838
|1374.78
|1369.925
|-
|46
|1417.8847
|1375.7806
! colspan="2" |1403.91
|}