User:Moremajorthanmajor/36wtn - Revision history

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

2025-09-01T09:31:43Z

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 36wtn to User:Moremajorthanmajor/36wtn

2025-03-31T17:20:46Z

Sintel moved page 36wtn to User:Moremajorthanmajor/36wtn

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

Moremajorthanmajor: /* Optimal Intervals */

2021-06-04T01:45:52Z

Optimal Intervals

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Xenwolf: cat+todo

2021-06-02T07:05:20Z

cat+todo

← Older revision		Revision as of 07:05, 2 June 2021
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			[[Category:Well tempered nonet]]

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

Moremajorthanmajor at 00:07, 2 June 2021

2021-06-02T00:07:54Z

← Older revision		Revision as of 00:07, 2 June 2021
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	A '''36 tone well tempered nonet''' (36WTN) is related to well temperaments of [[30edo]] and [[31edo]], but with a nonet rather than the 2/1 being constant. Its patent tunings alternate [[EDF\|division of the just perfect fifth]] into 18 equal parts (18EDF) with sequences of eighteen equal steps of 33.3333 to 44.4444 cents each. This will create eighteen equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.		A '''36 tone well tempered nonet''' (36WTN) is related to well temperaments of [[30edo]] and [[31edo]], but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alternate [[EDF\|division of the just perfect fifth]] into 18 equal parts (18EDF) with sequences of eighteen equal steps of 33.3333 to 44.4444 cents each. This will create eighteen equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.

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

Moremajorthanmajor: Created page with "A '''36 tone well tempered nonet''' (36WTN) is related to well temperaments of 30edo and 31edo, but with a nonet rather than the 2/1 being constant. Its patent tunings..."

2021-06-01T18:07:36Z

Created page with "A '''36 tone well tempered nonet''' (36WTN) is related to well temperaments of 30edo and 31edo, but with a nonet rather than the 2/1 being constant. Its patent tunings..."

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A '''36 tone well tempered nonet''' (36WTN) is related to well temperaments of [[30edo]] and [[31edo]], but with a nonet rather than the 2/1 being constant. Its patent tunings alternate [[EDF|division of the just perfect fifth]] into 18 equal parts (18EDF) with sequences of eighteen equal steps of 33.3333 to 44.4444 cents each. This will create eighteen equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.

== Optimal Intervals ==
{| class="wikitable"
|+
!
!Target a
!Target b
|-
!1
! colspan="2" |38.9975
|-
!2
! colspan="2" |77.995
|-
!3
! colspan="2" |116.9925
|-
!4
! colspan="2" |155.99
|-
!5
! colspan="2" |194.9875
|-
!6
! colspan="2" |233.985
|-
!7
! colspan="2" |272.9825
|-
!8
! colspan="2" |311.98
|-
!9
! colspan="2" |350.9775
|-
!10
! colspan="2" |389.975
|-
!11
! colspan="2" |428.9725
|-
!12
! colspan="2" |467.97
|-
!13
! colspan="2" |506.9675
|-
!14
! colspan="2" |545.965
|-
!15
! colspan="2" |584.9625
|-
!16
! colspan="2" |623.96
|-
!17
! colspan="2" |662.9575
|-
!18
! colspan="2" |701.955
|-
|19
|743.45875
|740.26615
|-
|20
|784.9625
|778.5773
|-
|21
|826.46625
|816.8885
|-
|22
|867.97
|855.1996
|-
|23
|909.47375
|893.5108
|-
|24
|950.9775
|931.8119
|-
|25
|993.48125
|970.1331
|-
|26
|1033.985
|1008.4492
|-
|27
|1075.48875
|1046.7554
|-
|28
|1116.9925
|1085.0665
|-
|29
|1158.49625
|1123.3777
|-
|30
|1200
|1161.68885
|-
|31
|1241.50375
|1200
|-
|32
|1283.0075
|1238.31115
|-
|33
|1324.51125
|1276.6223
|-
|34
|1366.015
|1314.9335
|-
|35
|1407.51875
|1353.2446
|-
|36
|1449.0225
|1391.5558
|}