User:Moremajorthanmajor/34wtn - Revision history

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

2025-09-01T09:30:48Z

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

← Older revision		Revision as of 09:30, 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 34wtn to User:Moremajorthanmajor/34wtn

2025-03-31T17:20:34Z

Sintel moved page 34wtn to User:Moremajorthanmajor/34wtn

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

Moremajorthanmajor: /* Patent Intervals */

2021-06-04T01:11:09Z

Patent Intervals

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Moremajorthanmajor: /* Optimal Intervals */

2021-06-04T01:01:18Z

Optimal Intervals

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Xenwolf: cat+todo

2021-06-02T07:05:06Z

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

2021-06-02T00:07:21Z

← Older revision		Revision as of 00:07, 2 June 2021
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	A '''34 tone well tempered nonet''' (34WTN) is related to well temperaments of [[29edo]] and [[30edo]], but with a nonet rather than the 2/1 being constant. Its patent tunings alternate [[EDF\|division of the just perfect fifth]] into 17 equal parts (17EDF) with sequences of seventeen equal steps of 35.2941 to 47.0588 cents each. This will create seventeen equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.		A '''34 tone well tempered nonet''' (34WTN) is related to well temperaments of [[29edo]] and [[30edo]], but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alternate [[EDF\|division of the just perfect fifth]] into 17 equal parts (17EDF) with sequences of seventeen equal steps of 35.2941 to 47.0588 cents each. This will create seventeen equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.

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

Moremajorthanmajor at 17:52, 1 June 2021

2021-06-01T17:52:22Z

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Moremajorthanmajor: Created page with "A '''34 tone well tempered nonet''' (34WTN) is related to well temperaments of 29edo and 30edo, but with a nonet rather than the 2/1 being constant. Its patent tunings..."

2021-05-31T19:49:51Z

Created page with "A '''34 tone well tempered nonet''' (34WTN) is related to well temperaments of 29edo and 30edo, but with a nonet rather than the 2/1 being constant. Its patent tunings..."

New page

A '''34 tone well tempered nonet''' (34WTN) is related to well temperaments of [[29edo]] and [[30edo]], but with a nonet rather than the 2/1 being constant. Its patent tunings alternate [[EDF|division of the just perfect fifth]] into 17 equal parts (17EDF) with sequences of seventeen equal steps of 35.2941 to 47.0588 cents each. This will create seventeen 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" |41.2915
|-
!2
! colspan="4" |82.5829
|-
!3
! colspan="4" |123.8744
|-
!4
! colspan="4" |165.1659
|-
!5
! colspan="4" |206.45735
|-
!6
! colspan="4" |248.7488
|-
!7·
! colspan="4" |289.0403
|-
!8
! colspan="4" |330.3318
|-
!9
! colspan="4" |371.6232
|-
!10
! colspan="4" |412.9147
|-
!11
! colspan="4" |455.2062
|-
!12·
! colspan="4" |495.49765
|-
!13
! colspan="4" |536.7891
|-
!14
! colspan="4" |578.0806
|-
!15
! colspan="4" |619.3721
|-
!16
! colspan="4" |660.6635
|-
!17·
! colspan="4" |701.955
|-
|18
|741.955
|744.8121
|738.8781
|741.5154
|-
|19
|781.955
|787.6692
|775.80115
|781.0759
|-
|20
|821.955
|830.5264
|812.7242
|820.6363
|-
|21
|861.955
|873.3836
|849.6473
|860.1968
|-
|22·
|901.955
|916.2407
|886.5704
|899.7572
|-
|23
|941.955
|959.0979
|923.4935
|939.3177
|-
|24
|981.955
|1001.955
|960.4165
|978.8781
|-
|25
|1021.955
|1044.8121
|997.3396
|1018.4385
|-
|26
|1061.955
|1087.6692
|1034.2627
|1057.999
|-
|27
|1101.955
|1130.5264
|1071.1858
|1097.5594
|-
|28
|1141.955
|1173.3836
|1108.10885
|1137.1198
|-
|29
|1181.955
|1216.2407
|1145.0319
|1176.6803
|-
|30
|1221.955
|1259.0979
|1181.955
|1216.2407
|-
|31
|1261.955
|1301.955
|1218.8781
|1255.8012
|-
|32
|1301.955
|1344.8121
|1255.80115
|1295.3616
|-
|33
|1341.955
|1387.6792
|1292.7242
|1334.922
|-
|34
|1381.955
|1430.5264
|1329.6473
|1374.4825
|}