User:Overthink/Perfect fifth ranges: Difference between revisions

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a few tables
 
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| colspan="2" | Oneiro || Quasiultra/ultrapyth+<br>(16\27-3\5)  
| colspan="2" | Oneiro || Quasiultra/ultrapyth+<br>(16\27-3\5)  
| Noble region<br>(47\80-10\17)
| Noble region<br>(47\80-10\17)
|}
{| class="wikitable"
|+Neogothic (loses accuracy beyond ~150)
|261
|278
|
|
|
|
|
|
|
|
|-
|232
|249
|
|
|
|
|
|
|
|
|-
|203
|220
|
|
|
|
|
|
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|
|-
|174
|191
|208
|
|
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|
|
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|-
|145
|162
|179
|196
|
|
|
|
|
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|-
|116
|133
|150
|167
|184
|
|
|
|
|
|-
|87
|104
|121
|138
|155
|172
|
|
|
|
|-
|58
|75
|92
|109
|126
|143
|160
|177
|194b
|211b
|-
|29
|46
|63
|80
|97
|114
|131
|148
|165
|182b
|-
|(0)
|17
|34
|51
|68
|85
|102
|119
|136
|153b
|}
{| class="wikitable"
|+Argent
|205
|234
|263
|292
|
|
|
|
|-
|164
|193
|222
|251
|280
|
|
|
|-
|123
|152
|181
|210
|239
|268
|
|
|-
|82
|111
|140
|169
|198
|227
|256
|285
|-
|41
|70
|99
|128
|157
|186
|215
|244
|-
|(0)
|29
|58
|87
|116
|145
|174
|203
|}
{| class="wikitable"
|+
|205
|
|
|
|
|-
|164
|
|
|
|
|-
|123
|
|
|
|
|-
|82
|
|
|
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|-
|41
|53
|65
|77
|89
|}
|}

Latest revision as of 04:04, 6 January 2026

A table of the ranges of the perfect fifth. Note that smaller EDOs within a precision may support temperaments corresponding to a range they are not a part of, such as 5edo technically being meantone or 53edo tempering out the garischisma.

Simple MOS

pattern ranges

Diatonic Range Meantone/Superpyth Near-pyth
Mavila M. Sub-flattone
(4\7-15\26) 		P. Pythagorean
(7\12-24\41) 		Sub-schismic
(7\12-38\65)
Flattone
(15\26-11\19) 		Schismic
(38\65-31\53)
4\7 (685.714 ¢) Lower meantone (meanpop)
(11\19-18\31) 		Middle Pythagorean
(31\53-55\94)
Diatonic Meantone ->
(4\7-7\12) 		Upper meantone (huygens)
(18\31-7\12) 		Garischismic
(55\94-24\41)
7\12 (700 ¢) Argent
(24\41-17\29) 		IDK about subranges
here, but many useful
edos such as 99edo
and 140edo
Near-Pythagorean
10\17 (705.882 ¢)
Superpyth ->
(10\17-3\5) 		S. Shrub region (quasisupra)
(10\17-13\22) 		Parapyth/gentle
(17\29-10\17) 		Lower gentle
(17\29-27\46)
3\5 (720 ¢) Superpyth
(13\22-16\27) 		Upper gentle
(27\46-47\80)
Oneiro Quasiultra/ultrapyth+
(16\27-3\5) 		Noble region
(47\80-10\17)
Neogothic (loses accuracy beyond ~150)
261 278
232 249
203 220
174 191 208
145 162 179 196
116 133 150 167 184
87 104 121 138 155 172
58 75 92 109 126 143 160 177 194b 211b
29 46 63 80 97 114 131 148 165 182b
(0) 17 34 51 68 85 102 119 136 153b
Argent
205 234 263 292
164 193 222 251 280
123 152 181 210 239 268
82 111 140 169 198 227 256 285
41 70 99 128 157 186 215 244
(0) 29 58 87 116 145 174 203
205
164
123
82
41 53 65 77 89
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