53edo: Difference between revisions
→21st century: +music |
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| Line 772: | Line 772: | ||
|- | |- | ||
| 2.3 | | 2.3 | ||
| {{ | | {{Monzo| -84 53 }} | ||
| {{ | | {{Mapping| 53 84 }} | ||
| +0.022 | | +0.022 | ||
| 0.022 | | 0.022 | ||
| Line 780: | Line 780: | ||
| 2.3.5 | | 2.3.5 | ||
| 15625/15552, 32805/32768 | | 15625/15552, 32805/32768 | ||
| {{ | | {{Mapping| 53 84 123 }} | ||
| +0.216 | | +0.216 | ||
| 0.276 | | 0.276 | ||
| Line 787: | Line 787: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 225/224, 1728/1715, 3125/3087 | | 225/224, 1728/1715, 3125/3087 | ||
| {{ | | {{Mapping| 53 84 123 149 }} | ||
| −0.262 | | −0.262 | ||
| 0.861 | | 0.861 | ||
| Line 794: | Line 794: | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 99/98, 121/120, 176/175, 2200/2187 | | 99/98, 121/120, 176/175, 2200/2187 | ||
| {{ | | {{Mapping| 53 84 123 149 183 }} | ||
| +0.248 | | +0.248 | ||
| 1.279 | | 1.279 | ||
| Line 801: | Line 801: | ||
| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 99/98, 121/120, 169/168, 176/175, 275/273 | | 99/98, 121/120, 169/168, 176/175, 275/273 | ||
| {{ | | {{Mapping| 53 84 123 149 183 196 }} | ||
| +0.332 | | +0.332 | ||
| 1.183 | | 1.183 | ||
| Line 808: | Line 808: | ||
| 2.3.5.7.11.13.19 | | 2.3.5.7.11.13.19 | ||
| 99/98, 121/120, 169/168, 176/175, 209/208, 275/273 | | 99/98, 121/120, 169/168, 176/175, 209/208, 275/273 | ||
| {{ | | {{Mapping| 53 84 123 149 183 196 225 }} | ||
| +0.391 | | +0.391 | ||
| 1.105 | | 1.105 | ||
| Line 829: | Line 829: | ||
| 3 | | 3 | ||
| <abbr title="19383245667680019896796723/19342813113834066795298816">(52 digits)</abbr> | | <abbr title="19383245667680019896796723/19342813113834066795298816">(52 digits)</abbr> | ||
| {{ | | {{Monzo| -84 53 }} | ||
| 3.62 | | 3.62 | ||
| Tribilawa | | Tribilawa | ||
| Line 836: | Line 836: | ||
| 5 | | 5 | ||
| [[2109375/2097152|(14 digits)]] | | [[2109375/2097152|(14 digits)]] | ||
| {{ | | {{Monzo| -21 3 7 }} | ||
| 10.06 | | 10.06 | ||
| Lasepyo | | Lasepyo | ||
| Line 843: | Line 843: | ||
| 5 | | 5 | ||
| [[15625/15552]] | | [[15625/15552]] | ||
| {{ | | {{Monzo| -6 -5 6 }} | ||
| 8.11 | | 8.11 | ||
| Tribiyo | | Tribiyo | ||
| Line 850: | Line 850: | ||
| 5 | | 5 | ||
| <abbr title="1600000/1594323">(14 digits)</abbr> | | <abbr title="1600000/1594323">(14 digits)</abbr> | ||
| {{ | | {{Monzo| 9 -13 5 }} | ||
| 6.15 | | 6.15 | ||
| Saquinyo | | Saquinyo | ||
| Line 857: | Line 857: | ||
| 5 | | 5 | ||
| <abbr title="10485760000/10460353203">(22 digits)</abbr> | | <abbr title="10485760000/10460353203">(22 digits)</abbr> | ||
| {{ | | {{Monzo| 24 -21 4 }} | ||
| 4.20 | | 4.20 | ||
| Sasaquadyo | | Sasaquadyo | ||
| Line 864: | Line 864: | ||
| 5 | | 5 | ||
| [[32805/32768]] | | [[32805/32768]] | ||
| {{ | | {{Monzo| -15 8 1 }} | ||
| 1.95 | | 1.95 | ||
| Layo | | Layo | ||
| Line 871: | Line 871: | ||
| 7 | | 7 | ||
| [[3125/3087]] | | [[3125/3087]] | ||
| {{ | | {{Monzo| 0 -2 5 -3 }} | ||
| 21.18 | | 21.18 | ||
| Triru-aquinyo | | Triru-aquinyo | ||
| Line 878: | Line 878: | ||
| 7 | | 7 | ||
| [[1728/1715]] | | [[1728/1715]] | ||
| {{ | | {{Monzo| 6 3 -1 -3 }} | ||
| 13.07 | | 13.07 | ||
| Triru-agu | | Triru-agu | ||
| Line 885: | Line 885: | ||
| 7 | | 7 | ||
| [[225/224]] | | [[225/224]] | ||
| {{ | | {{Monzo| -5 2 2 -1 }} | ||
| 7.71 | | 7.71 | ||
| Ruyoyo | | Ruyoyo | ||
| Line 892: | Line 892: | ||
| 7 | | 7 | ||
| [[4375/4374]] | | [[4375/4374]] | ||
| {{ | | {{Monzo| -1 -7 4 1 }} | ||
| 0.40 | | 0.40 | ||
| Zoquadyo | | Zoquadyo | ||
| Line 899: | Line 899: | ||
| 11 | | 11 | ||
| [[99/98]] | | [[99/98]] | ||
| {{ | | {{Monzo| -1 2 0 -2 1 }} | ||
| 17.58 | | 17.58 | ||
| Loruru | | Loruru | ||
| Line 906: | Line 906: | ||
| 11 | | 11 | ||
| [[121/120]] | | [[121/120]] | ||
| {{ | | {{Monzo| -3 -1 -1 0 2 }} | ||
| 14.37 | | 14.37 | ||
| Lologu | | Lologu | ||
| Line 913: | Line 913: | ||
| 11 | | 11 | ||
| [[176/175]] | | [[176/175]] | ||
| {{ | | {{Monzo| 4 0 -2 -1 1 }} | ||
| 9.86 | | 9.86 | ||
| Lorugugu | | Lorugugu | ||
| Line 920: | Line 920: | ||
| 11 | | 11 | ||
| <abbr title="94489280512/94143178827">(22 digits)</abbr> | | <abbr title="94489280512/94143178827">(22 digits)</abbr> | ||
| {{ | | {{Monzo| 33 -23 0 0 1 }} | ||
| 6.35 | | 6.35 | ||
| Trisalo | | Trisalo | ||
| Line 927: | Line 927: | ||
| 11 | | 11 | ||
| [[385/384]] | | [[385/384]] | ||
| {{ | | {{Monzo| -7 -1 1 1 1 }} | ||
| 4.50 | | 4.50 | ||
| Lozoyo | | Lozoyo | ||
| Line 934: | Line 934: | ||
| 11 | | 11 | ||
| [[540/539]] | | [[540/539]] | ||
| {{ | | {{Monzo| 2 3 1 -2 -1 }} | ||
| 3.21 | | 3.21 | ||
| Lururuyo | | Lururuyo | ||
| Line 941: | Line 941: | ||
| 13 | | 13 | ||
| [[275/273]] | | [[275/273]] | ||
| {{ | | {{Monzo| 0 -1 2 -1 1 -1 }} | ||
| 12.64 | | 12.64 | ||
| Thuloruyoyo | | Thuloruyoyo | ||
| Line 948: | Line 948: | ||
| 13 | | 13 | ||
| [[169/168]] | | [[169/168]] | ||
| {{ | | {{Monzo| -3 -1 0 -1 0 2 }} | ||
| 10.27 | | 10.27 | ||
| Thothoru | | Thothoru | ||
| Line 955: | Line 955: | ||
| 13 | | 13 | ||
| [[625/624]] | | [[625/624]] | ||
| {{ | | {{Monzo| -4 -1 4 0 0 -1 }} | ||
| 2.77 | | 2.77 | ||
| Thuquadyo | | Thuquadyo | ||
| Line 962: | Line 962: | ||
| 13 | | 13 | ||
| [[676/675]] | | [[676/675]] | ||
| {{ | | {{Monzo| 2 -3 -2 0 0 2 }} | ||
| 2.56 | | 2.56 | ||
| Bithogu | | Bithogu | ||
| Line 969: | Line 969: | ||
| 13 | | 13 | ||
| [[1001/1000]] | | [[1001/1000]] | ||
| {{ | | {{Monzo| -3 0 -3 1 1 1 }} | ||
| 1.73 | | 1.73 | ||
| Tholozotrigu | | Tholozotrigu | ||
| Line 976: | Line 976: | ||
| 13 | | 13 | ||
| [[2080/2079]] | | [[2080/2079]] | ||
| {{ | | {{Monzo| 5 -3 1 -1 -1 1 }} | ||
| 0.83 | | 0.83 | ||
| Tholuruyo | | Tholuruyo | ||
| Line 983: | Line 983: | ||
| 13 | | 13 | ||
| [[4096/4095]] | | [[4096/4095]] | ||
| {{ | | {{Monzo| 12 -2 -1 -1 0 -1 }} | ||
| 0.42 | | 0.42 | ||
| Sathurugu | | Sathurugu | ||
| Line 1,108: | Line 1,108: | ||
| 566.0 | | 566.0 | ||
| 18/13 | | 18/13 | ||
| [[ | | [[Alphatrimot]] | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 1,119: | Line 1,119: | ||
== Scales == | == Scales == | ||
=== | === Mos scales === | ||
While there is only one possible generator for the [[5L 2s|diatonic]] [[mos scale]] supported by this edo, there are a greater number of generators for other mosses such as the [[2L 5s|antidiatonic]] scale. | While there is only one possible generator for the [[5L 2s|diatonic]] [[mos scale]] supported by this edo, there are a greater number of generators for other mosses such as the [[2L 5s|antidiatonic]] scale. | ||
* [[List of MOS scales in 53edo]] | * [[List of MOS scales in 53edo]] | ||