FloraC: Expand

2026-06-08T19:43:09Z

Expand

← Older revision		Revision as of 19:43, 8 June 2026
Line 1:		Line 1:
	~~{{Delete\|little meaningful content}}~~
	{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}}		{{ED intro}}

	== Theory ==		== Theory ==
			234edo is [[consistent]] to the [[7-odd-limit]], but the [[error]] of [[prime interval\|prime]] [[5/1\|5]] is quite large. It is however fairly accurate in the [[2.3.7.13 subgroup]], with the same tuning as [[468edo]] and tempering out the [[septiennealimma]].

			Besides that, the [[7-limit]] [[patent val]] [[tempering out\|tempers out]] [[5120/5103]] and [[16875/16807]], [[support]]ing [[kwai]]. The alternative 234c val tempers out [[10976/10935]], [[110592/109375]] and [[321489/320000]], supporting [[bicommatic]].

	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|234}}		{{Harmonics in equal\|234}}

			=== Subsets and supersets ===
			Since 234 factors into primes as {{nowrap\| 2 × 3<sup>2</sup> × 13 }}, 234edo has subset edos {{EDOs\| 2, 3, 6, 9, 13, 18, 26, 39, 78, and 117 }}. 468edo, which doubles it, provides a possible correction for its approximation of 5 and 11.

	== Intervals ==		== Intervals ==
Line 954:		Line 960:
	\| perfect octave		\| perfect octave
	\|}		\|}

	~~[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->~~

Overthink: nominate for deletion

2026-06-08T19:25:47Z

nominate for deletion

← Older revision		Revision as of 19:25, 8 June 2026
Line 1:		Line 1:
			{{Delete\|little meaningful content}}
	{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}}		{{ED intro}}

ArrowHead294 at 12:07, 21 February 2025

2025-02-21T12:07:53Z

Show changes

Francium: changed EDO intro to ED intro

2025-02-21T06:32:43Z

changed EDO intro to ED intro

← Older revision		Revision as of 06:32, 21 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|234~~}}		{{ED intro}}

	== Theory ==		== Theory ==

FloraC: Section title

2024-03-26T09:30:10Z

Section title

← Older revision		Revision as of 09:30, 26 March 2024
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|234}}		{{EDO intro\|234}}

	== Theory ==		== Theory ==
			=== Prime harmonics ===
	{{Harmonics in equal\|234}}		{{Harmonics in equal\|234}}

BudjarnLambeth: /* Theory */ replace deprecated templates

2024-01-25T08:05:42Z

Theory: replace deprecated templates

← Older revision		Revision as of 08:05, 25 January 2024
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	{{EDO intro\|234}}		{{EDO intro\|234}}
	== Theory ==		== Theory ==
	{{~~Primes~~ in ~~edo~~\|234}}		{{Harmonics in equal\|234}}

	== Intervals ==		== Intervals ==
	{\|class="wikitable"		{\|class="wikitable"

Moremajorthanmajor at 17:05, 10 April 2023

2023-04-10T17:05:21Z

← Older revision		Revision as of 17:05, 10 April 2023
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	\|101		\|101
	\|517.9		\|517.9
	\|~~perfect fourth~~		\|superfourth
	\|-		\|-
	\|102		\|102
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	\|133		\|133
	\|682.1		\|682.1
	\|~~perfect fifth~~		\|subfifth
	\|-		\|-
	\|134		\|134

CompactStar: Created page with "{{Infobox ET}} {{EDO intro|234}} == Theory == {{Primes in edo|234}} == Intervals == {|class="wikitable" |- !# !Cents !Diatonic interval category |- |0 |0.0 |perfect unison |-..."

2023-03-09T22:02:56Z

Created page with "{{Infobox ET}} {{EDO intro|234}} == Theory == {{Primes in edo|234}} == Intervals == {|class="wikitable" |- !# !Cents !Diatonic interval category |- |0 |0.0 |perfect unison |-..."

New page

{{Infobox ET}}
{{EDO intro|234}}
== Theory ==
{{Primes in edo|234}}
== Intervals ==
{|class="wikitable"
|-
!#
!Cents
!Diatonic interval category
|-
|0
|0.0
|perfect unison
|-
|1
|5.1
|superunison
|-
|2
|10.3
|superunison
|-
|3
|15.4
|superunison
|-
|4
|20.5
|superunison
|-
|5
|25.6
|superunison
|-
|6
|30.8
|superunison
|-
|7
|35.9
|superunison
|-
|8
|41.0
|subminor second
|-
|9
|46.2
|subminor second
|-
|10
|51.3
|subminor second
|-
|11
|56.4
|subminor second
|-
|12
|61.5
|subminor second
|-
|13
|66.7
|subminor second
|-
|14
|71.8
|subminor second
|-
|15
|76.9
|subminor second
|-
|16
|82.1
|minor second
|-
|17
|87.2
|minor second
|-
|18
|92.3
|minor second
|-
|19
|97.4
|minor second
|-
|20
|102.6
|minor second
|-
|21
|107.7
|minor second
|-
|22
|112.8
|minor second
|-
|23
|117.9
|minor second
|-
|24
|123.1
|supraminor second
|-
|25
|128.2
|supraminor second
|-
|26
|133.3
|supraminor second
|-
|27
|138.5
|supraminor second
|-
|28
|143.6
|neutral second
|-
|29
|148.7
|neutral second
|-
|30
|153.8
|neutral second
|-
|31
|159.0
|neutral second
|-
|32
|164.1
|submajor second
|-
|33
|169.2
|submajor second
|-
|34
|174.4
|submajor second
|-
|35
|179.5
|submajor second
|-
|36
|184.6
|major second
|-
|37
|189.7
|major second
|-
|38
|194.9
|major second
|-
|39
|200.0
|major second
|-
|40
|205.1
|major second
|-
|41
|210.3
|major second
|-
|42
|215.4
|major second
|-
|43
|220.5
|supermajor second
|-
|44
|225.6
|supermajor second
|-
|45
|230.8
|supermajor second
|-
|46
|235.9
|supermajor second
|-
|47
|241.0
|ultramajor second
|-
|48
|246.2
|ultramajor second
|-
|49
|251.3
|ultramajor second
|-
|50
|256.4
|ultramajor second
|-
|51
|261.5
|subminor third
|-
|52
|266.7
|subminor third
|-
|53
|271.8
|subminor third
|-
|54
|276.9
|subminor third
|-
|55
|282.1
|minor third
|-
|56
|287.2
|minor third
|-
|57
|292.3
|minor third
|-
|58
|297.4
|minor third
|-
|59
|302.6
|minor third
|-
|60
|307.7
|minor third
|-
|61
|312.8
|minor third
|-
|62
|317.9
|minor third
|-
|63
|323.1
|supraminor third
|-
|64
|328.2
|supraminor third
|-
|65
|333.3
|supraminor third
|-
|66
|338.5
|supraminor third
|-
|67
|343.6
|neutral third
|-
|68
|348.7
|neutral third
|-
|69
|353.8
|neutral third
|-
|70
|359.0
|neutral third
|-
|71
|364.1
|submajor third
|-
|72
|369.2
|submajor third
|-
|73
|374.4
|submajor third
|-
|74
|379.5
|submajor third
|-
|75
|384.6
|major third
|-
|76
|389.7
|major third
|-
|77
|394.9
|major third
|-
|78
|400.0
|major third
|-
|79
|405.1
|major third
|-
|80
|410.3
|major third
|-
|81
|415.4
|major third
|-
|82
|420.5
|supermajor third
|-
|83
|425.6
|supermajor third
|-
|84
|430.8
|supermajor third
|-
|85
|435.9
|supermajor third
|-
|86
|441.0
|ultramajor third
|-
|87
|446.2
|ultramajor third
|-
|88
|451.3
|ultramajor third
|-
|89
|456.4
|ultramajor third
|-
|90
|461.5
|subfourth
|-
|91
|466.7
|subfourth
|-
|92
|471.8
|subfourth
|-
|93
|476.9
|subfourth
|-
|94
|482.1
|perfect fourth
|-
|95
|487.2
|perfect fourth
|-
|96
|492.3
|perfect fourth
|-
|97
|497.4
|perfect fourth
|-
|98
|502.6
|perfect fourth
|-
|99
|507.7
|perfect fourth
|-
|100
|512.8
|perfect fourth
|-
|101
|517.9
|perfect fourth
|-
|102
|523.1
|superfourth
|-
|103
|528.2
|superfourth
|-
|104
|533.3
|superfourth
|-
|105
|538.5
|superfourth
|-
|106
|543.6
|superfourth
|-
|107
|548.7
|superfourth
|-
|108
|553.8
|superfourth
|-
|109
|559.0
|superfourth
|-
|110
|564.1
|low tritone
|-
|111
|569.2
|low tritone
|-
|112
|574.4
|low tritone
|-
|113
|579.5
|low tritone
|-
|114
|584.6
|low tritone
|-
|115
|589.7
|low tritone
|-
|116
|594.9
|low tritone
|-
|117
|600.0
|high tritone
|-
|118
|605.1
|high tritone
|-
|119
|610.3
|high tritone
|-
|120
|615.4
|high tritone
|-
|121
|620.5
|high tritone
|-
|122
|625.6
|high tritone
|-
|123
|630.8
|high tritone
|-
|124
|635.9
|high tritone
|-
|125
|641.0
|subfifth
|-
|126
|646.2
|subfifth
|-
|127
|651.3
|subfifth
|-
|128
|656.4
|subfifth
|-
|129
|661.5
|subfifth
|-
|130
|666.7
|subfifth
|-
|131
|671.8
|subfifth
|-
|132
|676.9
|subfifth
|-
|133
|682.1
|perfect fifth
|-
|134
|687.2
|perfect fifth
|-
|135
|692.3
|perfect fifth
|-
|136
|697.4
|perfect fifth
|-
|137
|702.6
|perfect fifth
|-
|138
|707.7
|perfect fifth
|-
|139
|712.8
|perfect fifth
|-
|140
|717.9
|perfect fifth
|-
|141
|723.1
|superfifth
|-
|142
|728.2
|superfifth
|-
|143
|733.3
|superfifth
|-
|144
|738.5
|superfifth
|-
|145
|743.6
|ultrafifth
|-
|146
|748.7
|ultrafifth
|-
|147
|753.8
|ultrafifth
|-
|148
|759.0
|ultrafifth
|-
|149
|764.1
|subminor sixth
|-
|150
|769.2
|subminor sixth
|-
|151
|774.4
|subminor sixth
|-
|152
|779.5
|subminor sixth
|-
|153
|784.6
|minor sixth
|-
|154
|789.7
|minor sixth
|-
|155
|794.9
|minor sixth
|-
|156
|800.0
|minor sixth
|-
|157
|805.1
|minor sixth
|-
|158
|810.3
|minor sixth
|-
|159
|815.4
|minor sixth
|-
|160
|820.5
|supraminor sixth
|-
|161
|825.6
|supraminor sixth
|-
|162
|830.8
|supraminor sixth
|-
|163
|835.9
|supraminor sixth
|-
|164
|841.0
|neutral sixth
|-
|165
|846.2
|neutral sixth
|-
|166
|851.3
|neutral sixth
|-
|167
|856.4
|neutral sixth
|-
|168
|861.5
|submajor sixth
|-
|169
|866.7
|submajor sixth
|-
|170
|871.8
|submajor sixth
|-
|171
|876.9
|submajor sixth
|-
|172
|882.1
|major sixth
|-
|173
|887.2
|major sixth
|-
|174
|892.3
|major sixth
|-
|175
|897.4
|major sixth
|-
|176
|902.6
|major sixth
|-
|177
|907.7
|major sixth
|-
|178
|912.8
|major sixth
|-
|179
|917.9
|major sixth
|-
|180
|923.1
|supermajor sixth
|-
|181
|928.2
|supermajor sixth
|-
|182
|933.3
|supermajor sixth
|-
|183
|938.5
|supermajor sixth
|-
|184
|943.6
|ultramajor sixth
|-
|185
|948.7
|ultramajor sixth
|-
|186
|953.8
|ultramajor sixth
|-
|187
|959.0
|ultramajor sixth
|-
|188
|964.1
|subminor seventh
|-
|189
|969.2
|subminor seventh
|-
|190
|974.4
|subminor seventh
|-
|191
|979.5
|subminor seventh
|-
|192
|984.6
|minor seventh
|-
|193
|989.7
|minor seventh
|-
|194
|994.9
|minor seventh
|-
|195
|1000.0
|minor seventh
|-
|196
|1005.1
|minor seventh
|-
|197
|1010.3
|minor seventh
|-
|198
|1015.4
|minor seventh
|-
|199
|1020.5
|supraminor seventh
|-
|200
|1025.6
|supraminor seventh
|-
|201
|1030.8
|supraminor seventh
|-
|202
|1035.9
|supraminor seventh
|-
|203
|1041.0
|neutral seventh
|-
|204
|1046.2
|neutral seventh
|-
|205
|1051.3
|neutral seventh
|-
|206
|1056.4
|neutral seventh
|-
|207
|1061.5
|submajor seventh
|-
|208
|1066.7
|submajor seventh
|-
|209
|1071.8
|submajor seventh
|-
|210
|1076.9
|submajor seventh
|-
|211
|1082.1
|major seventh
|-
|212
|1087.2
|major seventh
|-
|213
|1092.3
|major seventh
|-
|214
|1097.4
|major seventh
|-
|215
|1102.6
|major seventh
|-
|216
|1107.7
|major seventh
|-
|217
|1112.8
|major seventh
|-
|218
|1117.9
|major seventh
|-
|219
|1123.1
|supermajor seventh
|-
|220
|1128.2
|supermajor seventh
|-
|221
|1133.3
|supermajor seventh
|-
|222
|1138.5
|supermajor seventh
|-
|223
|1143.6
|ultramajor seventh
|-
|224
|1148.7
|ultramajor seventh
|-
|225
|1153.8
|ultramajor seventh
|-
|226
|1159.0
|ultramajor seventh
|-
|227
|1164.1
|suboctave
|-
|228
|1169.2
|suboctave
|-
|229
|1174.4
|suboctave
|-
|230
|1179.5
|suboctave
|-
|231
|1184.6
|suboctave
|-
|232
|1189.7
|suboctave
|-
|233
|1194.9
|suboctave
|-
|234
|1200.0
|perfect octave
|}
[[Category:Equal divisions of the octave|###]]

234edo - Revision history