User:Moremajorthanmajor/32wtn - Revision history

FloraC: Text replacement - "{{todo|clarify|unify precision|inline=1}}" to ""

2025-09-01T09:31:05Z

Text replacement - "{{todo|clarify|unify precision|inline=1}}" to ""

← Older revision		Revision as of 09:31, 1 September 2025
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	[[Category:Well tempered nonet]]		[[Category:Well tempered nonet]]

	~~{{todo\|clarify\|unify precision\|inline=1}}~~

Sintel: Sintel moved page 32wtn to User:Moremajorthanmajor/32wtn

2025-03-31T17:20:22Z

Sintel moved page 32wtn to User:Moremajorthanmajor/32wtn

← Older revision	Revision as of 17:20, 31 March 2025
(No difference)

Moremajorthanmajor: /* Optimal Intervals */

2021-06-04T00:21:09Z

Optimal Intervals

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Xenwolf: cat+todo

2021-06-02T07:04:53Z

cat+todo

← Older revision		Revision as of 07:04, 2 June 2021
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			[[Category:Well tempered nonet]]

			{{todo\|clarify\|unify precision\|inline=1}}

Moremajorthanmajor at 00:06, 2 June 2021

2021-06-02T00:06:12Z

← Older revision		Revision as of 00:06, 2 June 2021
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	A '''32 tone well tempered nonet''' (32WTN) is related to well temperaments of [[27edo]] and [[28edo]], but with a nonet rather than the 2/1 being constant. Its patent tunings alternate [[EDF\|division of the just perfect fifth]] into 16 equal parts (16EDF) with sequences of sixteen equal steps of 37.5 to 50 cents each. This will create sixteen equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.		A '''32 tone well tempered nonet''' (32WTN) is related to well temperaments of [[27edo]] and [[28edo]], but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alternate [[EDF\|division of the just perfect fifth]] into 16 equal parts (16EDF) with sequences of sixteen equal steps of 37.5 to 50 cents each. This will create sixteen equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.

	== Optimal Intervals ==		== Optimal Intervals ==

Moremajorthanmajor at 17:50, 1 June 2021

2021-06-01T17:50:35Z

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Moremajorthanmajor: Created page with "A '''32 tone well tempered nonet''' (32WTN) is related to well temperaments of 27edo and 28edo, but with a nonet rather than the 2/1 being constant. Its patent tunings..."

2021-05-31T19:36:08Z

Created page with "A '''32 tone well tempered nonet''' (32WTN) is related to well temperaments of 27edo and 28edo, but with a nonet rather than the 2/1 being constant. Its patent tunings..."

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A '''32 tone well tempered nonet''' (32WTN) is related to well temperaments of [[27edo]] and [[28edo]], but with a nonet rather than the 2/1 being constant. Its patent tunings alternate [[EDF|division of the just perfect fifth]] into 16 equal parts (16EDF) with sequences of sixteen equal steps of 37.5 to 50 cents each. This will create sixteen equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.

== Optimal Intervals ==
{| class="wikitable"
|+
!
!Minimum a
!Maximum a
!Minimum b
!Maximum b
|-
!1
! colspan="4" |43.8722
|-
!2
! colspan="4" |87.7444
|-
!3
! colspan="4" |131.6166
|-
!4
! colspan="4" |175.48875
|-
!5
! colspan="4" |219.3609
|-
!6
! colspan="4" |263.2331
|-
!7
! colspan="4" |307.1053
|-
!8
! colspan="4" |350.9775
|-
!9
! colspan="4" |394.8497
|-
!10
! colspan="4" |438.7219
|-
!11
! colspan="4" |482.5941
|-
!12
! colspan="4" |526.46625
|-
!13
! colspan="4" |570.3384
|-
!14
! colspan="4" |614.2106
|-
!15
! colspan="4" |658.0828
|-
!16
! colspan="4" |701.9550
|-
|17
|745.5914
|748.70825
|741.955
|744.8121
|-
|18
|789.2277
|795.4615
|781.955
|787.6692
|-
|19
|832.8641
|841.2147
|821.955
|830.5264
|-
|20
|876.5005
|888.9679
|861.955
|873.3836
|-
|21
|920.1368
|935.7212
|901.955
|916.2407
|-
|22
|963.7732
|982.4745
|941.955
|959.0979
|-
|23
|1007.4095
|1029.2277
|981.955
|1001.955
|-
|24
|1051.0459
|1075.9809
|1021.955
|1044.8121
|-
|25
|1094.6822
|1122.7342
|1061.955
|1087.6692
|-
|26
|1138.3186
|1169.4875
|1101.955
|1130.5264
|-
|27
|1181.955
|1216.2407
|1141.955
|1173.3836
|-
|28
|1225.5914
|1262.994
|1181.955
|1216.2407
|-
|29
|1269.2277
|1309.7472
|1221.955
|1259.0979
|-
|30
|1312.8642
|1356.5005
|1261.955
|1301.955
|-
|31
|1356.5005
|1403.2537
|1301.955
|1344.8121
|-
|32
|1400.1368
|1450.007
|1341.955
|1387.6792
|}