72edo-interval names: Difference between revisions
Created page with "{| class="wikitable" |- | |degrees | |cents value | |approximate ratios (11-limit) | style="text-align:center;" colspan="2" |ups and downs Ups and..." |
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| |cents value | | |cents value | ||
| |approximate ratios (11-limit) | | |approximate ratios (11-limit) | ||
| style="text-align:center; | | colspan="2" style="text-align:center;" |[[Ups and Downs Notation|ups and downs]] [[Ups and Downs Notation|notation]] | ||
|Igs' Input | |Igs' Input | ||
|- | |- | ||
| Line 87: | Line 87: | ||
| style="text-align:center;" |^~2 | | style="text-align:center;" |^~2 | ||
| style="text-align:center;" |upmid 2nd | | style="text-align:center;" |upmid 2nd | ||
|Submajor 2nd | |Neutral 2nd/ | ||
Submajor 2nd | |||
|- | |- | ||
| |11 | | |11 | ||
| Line 94: | Line 95: | ||
| style="text-align:center;" |vM2 | | style="text-align:center;" |vM2 | ||
| style="text-align:center;" |downmajor 2nd | | style="text-align:center;" |downmajor 2nd | ||
|Major 2nd | |Submajor 2nd/ | ||
Major 2nd | |||
|- | |- | ||
| |12 | | |12 | ||
| Line 124: | Line 126: | ||
| style="text-align:center;" |triple-up major 2nd, | | style="text-align:center;" |triple-up major 2nd, | ||
triple-down minor 3rd | triple-down minor 3rd | ||
|Subminor 3rd | |Supermajor 2nd/ | ||
Subminor 3rd | |||
|- | |- | ||
| |16 | | |16 | ||
| Line 131: | Line 134: | ||
| style="text-align:center;" |vvm3 | | style="text-align:center;" |vvm3 | ||
| style="text-align:center;" |double-downminor 3rd | | style="text-align:center;" |double-downminor 3rd | ||
| | |Subminor 3rd | ||
|- | |- | ||
| |17 | | |17 | ||
| Line 138: | Line 141: | ||
| style="text-align:center;" |vm3 | | style="text-align:center;" |vm3 | ||
| style="text-align:center;" |downminor 3rd | | style="text-align:center;" |downminor 3rd | ||
| | |Subminor 3rd/ | ||
Minor third | |||
|- | |- | ||
| |18 | | |18 | ||
| Line 145: | Line 150: | ||
| style="text-align:center;" |m3 | | style="text-align:center;" |m3 | ||
| style="text-align:center;" |minor 3rd | | style="text-align:center;" |minor 3rd | ||
| | |Minor 3rd | ||
|- | |- | ||
| |19 | | |19 | ||
| Line 152: | Line 157: | ||
| style="text-align:center;" |^m3 | | style="text-align:center;" |^m3 | ||
| style="text-align:center;" |upminor 3rd | | style="text-align:center;" |upminor 3rd | ||
| | |Minor 3rd/ | ||
Supraminor 3rd | |||
|- | |- | ||
| |20 | | |20 | ||
| Line 159: | Line 165: | ||
| style="text-align:center;" |v~3 | | style="text-align:center;" |v~3 | ||
| style="text-align:center;" |downmid 3rd | | style="text-align:center;" |downmid 3rd | ||
| | |Supraminor 3rd/ | ||
Neutral 3rd | |||
|- | |- | ||
| |21 | | |21 | ||
| Line 166: | Line 174: | ||
| style="text-align:center;" |~3 | | style="text-align:center;" |~3 | ||
| style="text-align:center;" |mid 3rd | | style="text-align:center;" |mid 3rd | ||
| | |Neutral 3rd | ||
|- | |- | ||
| |22 | | |22 | ||
| Line 173: | Line 181: | ||
| style="text-align:center;" |^~3 | | style="text-align:center;" |^~3 | ||
| style="text-align:center;" |upmid 3rd | | style="text-align:center;" |upmid 3rd | ||
| | |Neutral 3rd/ | ||
Submajor 3rd | |||
|- | |- | ||
| |23 | | |23 | ||
| Line 180: | Line 190: | ||
| style="text-align:center;" |vM3 | | style="text-align:center;" |vM3 | ||
| style="text-align:center;" |downmajor 3rd | | style="text-align:center;" |downmajor 3rd | ||
| | |Submajor 3rd/ | ||
Major 3rd | |||
|- | |- | ||
| |24 | | |24 | ||
| Line 187: | Line 199: | ||
| style="text-align:center;" |M3 | | style="text-align:center;" |M3 | ||
| style="text-align:center;" |major 3rd | | style="text-align:center;" |major 3rd | ||
| | |Major 3rd | ||
|- | |- | ||
| |25 | | |25 | ||
| Line 194: | Line 206: | ||
| style="text-align:center;" |^M3 | | style="text-align:center;" |^M3 | ||
| style="text-align:center;" |upmajor 3rd | | style="text-align:center;" |upmajor 3rd | ||
| | |Major 3rd/ | ||
Supermajor 3rd | |||
|- | |- | ||
| |26 | | |26 | ||
| Line 201: | Line 215: | ||
| style="text-align:center;" |^^M3 | | style="text-align:center;" |^^M3 | ||
| style="text-align:center;" |double-upmajor 3rd | | style="text-align:center;" |double-upmajor 3rd | ||
| | |Supermajor 3rd | ||
|- | |- | ||
| |27 | | |27 | ||
| Line 209: | Line 223: | ||
| style="text-align:center;" |triple-up major 3rd, | | style="text-align:center;" |triple-up major 3rd, | ||
triple-down 4th | triple-down 4th | ||
| | |Supermajor 3rd/ | ||
Sub 4th | |||
|- | |- | ||
| |28 | | |28 | ||
| Line 216: | Line 232: | ||
| style="text-align:center;" |vv4 | | style="text-align:center;" |vv4 | ||
| style="text-align:center;" |double-down 4th | | style="text-align:center;" |double-down 4th | ||
| | |Sub 4th | ||
|- | |- | ||
| |29 | | |29 | ||
| Line 223: | Line 239: | ||
| style="text-align:center;" |v4 | | style="text-align:center;" |v4 | ||
| style="text-align:center;" |down 4th | | style="text-align:center;" |down 4th | ||
| | |Sub 4th/ | ||
Perfect 4th | |||
|- | |- | ||
| |30 | | |30 | ||
| Line 230: | Line 248: | ||
| style="text-align:center;" |P4 | | style="text-align:center;" |P4 | ||
| style="text-align:center;" |perfect 4th | | style="text-align:center;" |perfect 4th | ||
| | |Perfect 4th | ||
|- | |- | ||
| |31 | | |31 | ||
| Line 237: | Line 255: | ||
| style="text-align:center;" |^4 | | style="text-align:center;" |^4 | ||
| style="text-align:center;" |up 4th | | style="text-align:center;" |up 4th | ||
| | |Perfect 4th/ | ||
Super 4th | |||
|- | |- | ||
| |32 | | |32 | ||
| Line 244: | Line 264: | ||
| style="text-align:center;" |^^4 | | style="text-align:center;" |^^4 | ||
| style="text-align:center;" |double-up 4th | | style="text-align:center;" |double-up 4th | ||
| | |Super 4th/ | ||
Narrow Tritone | |||
|- | |- | ||
| |33 | | |33 | ||
| Line 251: | Line 273: | ||
| style="text-align:center;" |^<sup><span style="font-size: 90%; vertical-align: super;"><font size="3">3</font></span></sup>4 | | style="text-align:center;" |^<sup><span style="font-size: 90%; vertical-align: super;"><font size="3">3</font></span></sup>4 | ||
| style="text-align:center;" |triple-up 4th | | style="text-align:center;" |triple-up 4th | ||
| | |Super 4th/ | ||
Narrow Tritone | |||
|- | |- | ||
| |34 | | |34 | ||
| Line 258: | Line 282: | ||
| style="text-align:center;" |vvA4 | | style="text-align:center;" |vvA4 | ||
| style="text-align:center;" |double-down aug 4th | | style="text-align:center;" |double-down aug 4th | ||
| | |Narrow Tritone | ||
|- | |- | ||
| |35 | | |35 | ||
| Line 265: | Line 289: | ||
| style="text-align:center;" |vA4, vd5 | | style="text-align:center;" |vA4, vd5 | ||
| style="text-align:center;" |downaug 4th, updim 5th | | style="text-align:center;" |downaug 4th, updim 5th | ||
| | |Narrow Tritone/ | ||
Tritone | |||
|- | |- | ||
| |36 | | |36 | ||
| Line 272: | Line 297: | ||
| style="text-align:center;" |A4, d5 | | style="text-align:center;" |A4, d5 | ||
| style="text-align:center;" |aug 4th, dim 5th | | style="text-align:center;" |aug 4th, dim 5th | ||
| | |Tritone | ||
|- | |- | ||
| |37 | | |37 | ||
| Line 279: | Line 304: | ||
| style="text-align:center;" |^A4, ^d5 | | style="text-align:center;" |^A4, ^d5 | ||
| style="text-align:center;" |upaug 4th, downdim 5th | | style="text-align:center;" |upaug 4th, downdim 5th | ||
| | |Tritone/ | ||
Wide Tritone | |||
|- | |- | ||
| |38 | | |38 | ||
| Line 286: | Line 313: | ||
| style="text-align:center;" |^^d5 | | style="text-align:center;" |^^d5 | ||
| style="text-align:center;" |double-updim 5th | | style="text-align:center;" |double-updim 5th | ||
| | |Wide Tritone | ||
|- | |- | ||
| |39 | | |39 | ||
| Line 293: | Line 320: | ||
| style="text-align:center;" |v<sup><span style="font-size: 90%; vertical-align: super;"><font size="3">3</font></span></sup>5 | | style="text-align:center;" |v<sup><span style="font-size: 90%; vertical-align: super;"><font size="3">3</font></span></sup>5 | ||
| style="text-align:center;" |triple-down 5th | | style="text-align:center;" |triple-down 5th | ||
| | |Wide Tritone/ | ||
Sub 5th | |||
|- | |- | ||
| |40 | | |40 | ||
| Line 300: | Line 329: | ||
| style="text-align:center;" |vv5 | | style="text-align:center;" |vv5 | ||
| style="text-align:center;" |double-down 5th | | style="text-align:center;" |double-down 5th | ||
| | |Wide Tritone/ | ||
Sub 5th | |||
|- | |- | ||
| |41 | | |41 | ||
| Line 307: | Line 338: | ||
| style="text-align:center;" |v5 | | style="text-align:center;" |v5 | ||
| style="text-align:center;" |down 5th | | style="text-align:center;" |down 5th | ||
| | |Sub 5th/ | ||
Perfect 5th | |||
|- | |- | ||
| |42 | | |42 | ||
| Line 314: | Line 347: | ||
| style="text-align:center;" |P5 | | style="text-align:center;" |P5 | ||
| style="text-align:center;" |perfect 5th | | style="text-align:center;" |perfect 5th | ||
| | |Perfect 5th | ||
|- | |- | ||
| |43 | | |43 | ||
| Line 321: | Line 354: | ||
| style="text-align:center;" |^5 | | style="text-align:center;" |^5 | ||
| style="text-align:center;" |up 5th | | style="text-align:center;" |up 5th | ||
| | |Perfect 5th/ | ||
Super 5th | |||
|- | |- | ||
| |44 | | |44 | ||
| Line 328: | Line 362: | ||
| style="text-align:center;" |^^5 | | style="text-align:center;" |^^5 | ||
| style="text-align:center;" |double-up 5th | | style="text-align:center;" |double-up 5th | ||
| | |Super 5th | ||
|- | |- | ||
| |45 | | |45 | ||
| Line 336: | Line 370: | ||
| style="text-align:center;" |triple-up 5th, | | style="text-align:center;" |triple-up 5th, | ||
triple-down minor 6th | triple-down minor 6th | ||
| | |Super 5th/ | ||
Subminor 6th | |||
|- | |- | ||
| |46 | | |46 | ||
| Line 343: | Line 379: | ||
| style="text-align:center;" |vvm6 | | style="text-align:center;" |vvm6 | ||
| style="text-align:center;" |double-downminor 6th | | style="text-align:center;" |double-downminor 6th | ||
| | |Subminor 6th | ||
|- | |- | ||
| |47 | | |47 | ||
| Line 350: | Line 386: | ||
| style="text-align:center;" |vm6 | | style="text-align:center;" |vm6 | ||
| style="text-align:center;" |downminor 6th | | style="text-align:center;" |downminor 6th | ||
| | |Subminor 6th/ | ||
Minor 6th | |||
|- | |- | ||
| |48 | | |48 | ||
| Line 357: | Line 395: | ||
| style="text-align:center;" |m6 | | style="text-align:center;" |m6 | ||
| style="text-align:center;" |minor 6th | | style="text-align:center;" |minor 6th | ||
| | |Minor 6th | ||
|- | |- | ||
| |49 | | |49 | ||
| Line 364: | Line 402: | ||
| style="text-align:center;" |^m6 | | style="text-align:center;" |^m6 | ||
| style="text-align:center;" |upminor 6th | | style="text-align:center;" |upminor 6th | ||
| | |Minor 6th/ | ||
Supraminor 6th | |||
|- | |- | ||
| |50 | | |50 | ||
| Line 371: | Line 410: | ||
| style="text-align:center;" |v~6 | | style="text-align:center;" |v~6 | ||
| style="text-align:center;" |downmid 6th | | style="text-align:center;" |downmid 6th | ||
| | |Supraminor 6th/ | ||
Neutral 6th | |||
|- | |- | ||
| |51 | | |51 | ||
| Line 378: | Line 418: | ||
| style="text-align:center;" |~6 | | style="text-align:center;" |~6 | ||
| style="text-align:center;" |mid 6th | | style="text-align:center;" |mid 6th | ||
| | |Neutral 6th | ||
|- | |- | ||
| |52 | | |52 | ||
| Line 385: | Line 425: | ||
| style="text-align:center;" |^~6 | | style="text-align:center;" |^~6 | ||
| style="text-align:center;" |upmid 6th | | style="text-align:center;" |upmid 6th | ||
| | |Neutral 6th/ | ||
Submajor 6th | |||
|- | |- | ||
| |53 | | |53 | ||
| Line 392: | Line 434: | ||
| style="text-align:center;" |vM6 | | style="text-align:center;" |vM6 | ||
| style="text-align:center;" |downmajor 6th | | style="text-align:center;" |downmajor 6th | ||
| | |Submajor 6th/ | ||
Major 6th | |||
|- | |- | ||
| |54 | | |54 | ||
| Line 399: | Line 443: | ||
| style="text-align:center;" |M6 | | style="text-align:center;" |M6 | ||
| style="text-align:center;" |major 6th | | style="text-align:center;" |major 6th | ||
| | |Major 6th | ||
|- | |- | ||
| |55 | | |55 | ||
| Line 406: | Line 450: | ||
| style="text-align:center;" |^M6 | | style="text-align:center;" |^M6 | ||
| style="text-align:center;" |upmajor 6th | | style="text-align:center;" |upmajor 6th | ||
| | |Major 6th/ | ||
Supermajor 6th | |||
|- | |- | ||
| |56 | | |56 | ||
| Line 413: | Line 458: | ||
| style="text-align:center;" |^^M6 | | style="text-align:center;" |^^M6 | ||
| style="text-align:center;" |double-upmajor 6th | | style="text-align:center;" |double-upmajor 6th | ||
| | |Supermajor 6th | ||
|- | |- | ||
| |57 | | |57 | ||
| Line 421: | Line 466: | ||
| style="text-align:center;" |triple-up major 6th, | | style="text-align:center;" |triple-up major 6th, | ||
triple-down minor 7th | triple-down minor 7th | ||
| | |Supermajor 6th/ | ||
Subminor 7th | |||
|- | |- | ||
| |58 | | |58 | ||
| Line 428: | Line 474: | ||
| style="text-align:center;" |vvm7 | | style="text-align:center;" |vvm7 | ||
| style="text-align:center;" |double-downminor 7th | | style="text-align:center;" |double-downminor 7th | ||
| | |Subminor 7th | ||
|- | |- | ||
| |59 | | |59 | ||
| Line 435: | Line 481: | ||
| style="text-align:center;" |vm7 | | style="text-align:center;" |vm7 | ||
| style="text-align:center;" |downminor 7th | | style="text-align:center;" |downminor 7th | ||
| | |Subminor 7th/ | ||
Minor 7th | |||
|- | |- | ||
| |60 | | |60 | ||
| Line 442: | Line 489: | ||
| style="text-align:center;" |m7 | | style="text-align:center;" |m7 | ||
| style="text-align:center;" |minor 7th | | style="text-align:center;" |minor 7th | ||
| | |Minor 7th | ||
|- | |- | ||
| |61 | | |61 | ||
| Line 449: | Line 496: | ||
| style="text-align:center;" |^m7 | | style="text-align:center;" |^m7 | ||
| style="text-align:center;" |upminor 7th | | style="text-align:center;" |upminor 7th | ||
| | |Minor 7th/ | ||
Supraminor 7th | |||
|- | |- | ||
| |62 | | |62 | ||
| Line 456: | Line 504: | ||
| style="text-align:center;" |v~7 | | style="text-align:center;" |v~7 | ||
| style="text-align:center;" |downmid 7th | | style="text-align:center;" |downmid 7th | ||
| | |Supraminor 7th/ | ||
Neutral 7th | |||
|- | |- | ||
| |63 | | |63 | ||
| Line 463: | Line 512: | ||
| style="text-align:center;" |~7 | | style="text-align:center;" |~7 | ||
| style="text-align:center;" |mid 7th | | style="text-align:center;" |mid 7th | ||
| | |Neutral 7th | ||
|- | |- | ||
| |64 | | |64 | ||
| Line 470: | Line 519: | ||
| style="text-align:center;" |^~7 | | style="text-align:center;" |^~7 | ||
| style="text-align:center;" |upmin 7th | | style="text-align:center;" |upmin 7th | ||
| | |Neutral 7th/ | ||
Submajor 7th | |||
|- | |- | ||
| |65 | | |65 | ||
| Line 477: | Line 527: | ||
| style="text-align:center;" |vM7 | | style="text-align:center;" |vM7 | ||
| style="text-align:center;" |downmajor 7th | | style="text-align:center;" |downmajor 7th | ||
| | |Submajor 7th/ | ||
Major 7th | |||
|- | |- | ||
| |66 | | |66 | ||
| Line 484: | Line 535: | ||
| style="text-align:center;" |M7 | | style="text-align:center;" |M7 | ||
| style="text-align:center;" |major 7th | | style="text-align:center;" |major 7th | ||
| | |Major 7th | ||
|- | |- | ||
| |67 | | |67 | ||
| Line 491: | Line 542: | ||
| style="text-align:center;" |^M7 | | style="text-align:center;" |^M7 | ||
| style="text-align:center;" |upmajor 7th | | style="text-align:center;" |upmajor 7th | ||
| | |Major 7th/ | ||
Supermajor 7th | |||
|- | |- | ||
| |68 | | |68 | ||
| Line 498: | Line 550: | ||
| style="text-align:center;" |^^M7 | | style="text-align:center;" |^^M7 | ||
| style="text-align:center;" |double-upmajor 7th | | style="text-align:center;" |double-upmajor 7th | ||
| | |Supermajor 7th | ||
|- | |- | ||
| |69 | | |69 | ||
| Line 506: | Line 558: | ||
| style="text-align:center;" |triple-up major 7th, | | style="text-align:center;" |triple-up major 7th, | ||
triple-down octave | triple-down octave | ||
| | |Supermajor 7th/ | ||
Sub Octave | |||
|- | |- | ||
| |70 | | |70 | ||
| Line 513: | Line 566: | ||
| style="text-align:center;" |vv8 | | style="text-align:center;" |vv8 | ||
| style="text-align:center;" |double-down octave | | style="text-align:center;" |double-down octave | ||
| | |Sub Octave | ||
|- | |- | ||
| |71 | | |71 | ||
| Line 520: | Line 573: | ||
| style="text-align:center;" |v8 | | style="text-align:center;" |v8 | ||
| style="text-align:center;" |down octave | | style="text-align:center;" |down octave | ||
| | |Sub Octave | ||
|- | |- | ||
| |72 | | |72 | ||
| Line 527: | Line 580: | ||
| style="text-align:center;" |P8 | | style="text-align:center;" |P8 | ||
| style="text-align:center;" |perfect octave | | style="text-align:center;" |perfect octave | ||
| | |Octave | ||
|} | |} | ||