User:Moremajorthanmajor/48wtn - Revision history

Sintel: Sintel moved page 48wtn to User:Moremajorthanmajor/48wtn

2025-03-31T17:22:19Z

Sintel moved page 48wtn to User:Moremajorthanmajor/48wtn

← Older revision	Revision as of 17:22, 31 March 2025
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BudjarnLambeth: Categorised this uncategorised page

2023-04-25T09:43:41Z

Categorised this uncategorised page

← Older revision		Revision as of 09:43, 25 April 2023
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			[[Category:Well tempered nonet]]
			[[Category:41edo]]
			[[Category:24edf]]

Moremajorthanmajor: /* Patent Intervals */

2021-06-16T23:04:42Z

Patent Intervals

← Older revision		Revision as of 23:04, 16 June 2021
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	A '''48 tone well tempered nonet''' (48WTN) is related to well temperaments of [[41edo]], but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alternate [[EDF\|division of the just perfect fifth]] into 24 equal parts (24EDF) with sequences of twenty-four equal steps of 25 to 33.3333 cents each. This will create twenty-~~two equally~~-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.		A '''48 tone well tempered nonet''' (48WTN) is related to well temperaments of [[41edo]], but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alternate [[EDF\|division of the just perfect fifth]] into 24 equal parts (24EDF) with sequences of twenty-four equal steps of 25 to 33.3333 cents each. This will create twenty-fourequally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.

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

Moremajorthanmajor: Created page with "A '''48 tone well tempered nonet''' (48WTN) is related to well temperaments of 41edo, but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alt..."

2021-06-16T22:20:09Z

Created page with "A '''48 tone well tempered nonet''' (48WTN) is related to well temperaments of 41edo, but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alt..."

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A '''48 tone well tempered nonet''' (48WTN) is related to well temperaments of [[41edo]], but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alternate [[EDF|division of the just perfect fifth]] into 24 equal parts (24EDF) with sequences of twenty-four equal steps of 25 to 33.3333 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
!Alternating [[edo]] and *ed(9/8)
|-
|1
|29.2481
|29.2683
|-
|2
|58.49625
|58.5366
|-
|3
|87.7444
|87.8049
|-
|4
|116.9925
|117.0732
|-
|5
|146.2406
|146.3415
|-
|6
|175.48875
|175.6098
|-
|7
|204.7369
|204.87805
|-
|8
|233.985
|234.1463
|-
|9
|263.2331
|263.4146
|-
|10
|292.48125
|292.6829
|-
|11
|321.7293
|321.9512
|-
|12
|350.9775
|351.2195
|-
|13
|380.2256
|380.4878
|-
|14
|409.47375
|409.7561
|-
|15
|438.7219
|439.0244
|-
|16
|467.97
|468.2927
|-
|17
|497.2181
|497.561
|-
|18
|526.46625
|526.8293
|-
|19
|556.7144
|556.0976
|-
|20
|584.9625
|585.36585
|-
|21
|614.2106
|614.63415
|-
|22
|643.45875
|643.9024
|-
|23
|671.7069
|673.1607
|-
|24
|701.955
|702.439
|-
|25
|731.2518
|731.7073
|-
|26
|760.5485
|760.9756
|-
|27
|789.8453
|790.2439
|-
|28
|819.1421
|819.5122
|-
|29
|848.4388
|848.7805
|-
|30
|877.7356
|878.0488
|-
|31
|907.03235
|907.3171
|-
|32
|936.3291
|936.5854
|-
|33
|965.6259
|965.8537
|-
|34
|994.92265
|995.12195
|-
|35
|1024.2194
|1024.3902
|-
|36
|1053.5162
|1053.6685
|-
|37
|1082.8129
|1082.9268
|-
|38
|1112.1547
|1112.1951
|-
|39
|1141.4515
|1141.4634
|-
|40
|1170.7032
|1170.7317
|-
|41
! colspan="2" |1200
|-
|42
|1229.2968
|1229.13
|-
|43
|1258.5935
|1258.26
|-
|44
|1287.8903
|1287.39
|-
|45
|1317.1871
|1316.52
|-
|46
|1346.4838
|1345.65
|-
|47
|1375.7806
|1374.78
|-
|48
|1405.07735
|1403.91
|}