User:Lucius Chiaraviglio/Musical Mad Science: Difference between revisions
→Musical Mad Science Musings on Diatonicized Third-Tone Sub-Chromaticism: Filled in ~75/52 mappings from 146edo through 36edo (safety save) |
→Musical Mad Science Musings on Diatonicized Third-Tone Sub-Chromaticism: Finished adding mappings of ~75/52 |
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{{Harmonics in equal|163|intervals=odd|prec=2|columns=28|title=[[163edo]] (L=9, s=5, BrightGen is 86; ''patent ~13/9 = 87''; ''patent ~23/16 = 85''; ''patent ~49/34 = 87''; ''patent ~62/43 = 87, 'k' wart usable''; ''patent ~75/52 = 85''; ''patent ~384/265 = 87''; ''patent ~59049/40960 = 83'')}} | {{Harmonics in equal|163|intervals=odd|prec=2|columns=28|title=[[163edo]] (L=9, s=5, BrightGen is 86; ''patent ~13/9 = 87''; ''patent ~23/16 = 85''; ''patent ~49/34 = 87''; ''patent ~62/43 = 87, 'k' wart usable''; ''patent ~75/52 = 85''; ''patent ~384/265 = 87''; ''patent ~59049/40960 = 83'')}} | ||
{{Harmonics in equal|36|intervals=odd|prec=2|columns=28|title=[[36edo]] (L=2, s=1, BrightGen is 19; patent ~13/9 = 19; patent ~23/16 = 19; patent ~49/34 = 19; patent ~62/43 = 19; patent ~75/52 = 20; patent ~384/265 = 19; ''patent ~59049/40960 = 18'') — Basic 17L 2s}} | {{Harmonics in equal|36|intervals=odd|prec=2|columns=28|title=[[36edo]] (L=2, s=1, BrightGen is 19; patent ~13/9 = 19; patent ~23/16 = 19; patent ~49/34 = 19; patent ~62/43 = 19; patent ~75/52 = 20; patent ~384/265 = 19; ''patent ~59049/40960 = 18'') — Basic 17L 2s}} | ||
{{Harmonics in equal|161|intervals=odd|prec=2|columns=28|title=[[161edo]] (L=9, s=4, BrightGen is 85; ''patent ~13/9 = 86'' ; ''patent ~23/16 = 84''; patent ~49/34 = 85; patent ~62/43 = 85; patent ~75/52 = | {{Harmonics in equal|161|intervals=odd|prec=2|columns=28|title=[[161edo]] (L=9, s=4, BrightGen is 85; ''patent ~13/9 = 86''; ''patent ~23/16 = 84''; patent ~49/34 = 85; patent ~62/43 = 85; patent ~75/52 = 85; ''patent ~384/265 = 86''; ''patent ~59049/40960 = 83'')}} | ||
{{Harmonics in equal|125|intervals=odd|prec=2|columns=28|title=[[125edo]] (L=7, s=3, BrightGen is 66; ''patent ~13/9 = 67, 'f' wart usable''; ''patent ~23/16 = 65''; patent ~49/34 = 66; patent ~62/43 = 66; patent ~75/52 = | {{Harmonics in equal|125|intervals=odd|prec=2|columns=28|title=[[125edo]] (L=7, s=3, BrightGen is 66; ''patent ~13/9 = 67, 'f' wart usable''; ''patent ~23/16 = 65''; patent ~49/34 = 66; patent ~62/43 = 66; patent ~75/52 = 65, 'f' wart usable; ''patent ~384/265 = 67''; ''patent ~59049/40960 = 65'')}} | ||
{{Harmonics in equal|214|intervals=odd|prec=2|columns=28|title=[[214edo]] (L=12, s=5, BrightGen is 113; ''patent ~13/9 = 114''; ''patent ~23/16 = 112''; patent ~49/34 = 113; patent ~62/43 = 113; patent ~75/52 = | {{Harmonics in equal|214|intervals=odd|prec=2|columns=28|title=[[214edo]] (L=12, s=5, BrightGen is 113; ''patent ~13/9 = 114''; ''patent ~23/16 = 112''; patent ~49/34 = 113; patent ~62/43 = 113; patent ~75/52 = 113; ''patent ~384/265 = 114''; ''patent ~59049/40960 = 111'')}} | ||
{{Harmonics in equal|89|intervals=odd|prec=2|columns=28|title=[[89edo]] (L=5, s=2, BrightGen is 47; patent ~13/9 = 47; patent ~23/16 = 47; patent ~49/34 = 47; patent ~62/43 = 47; patent ~75/52 = | {{Harmonics in equal|89|intervals=odd|prec=2|columns=28|title=[[89edo]] (L=5, s=2, BrightGen is 47; patent ~13/9 = 47; patent ~23/16 = 47; patent ~49/34 = 47; patent ~62/43 = 47; ''patent ~75/52 = 48''; patent ~384/265 = 47; ''patent ~59049/40960 = 46'') — Semihard 17L 2s}} | ||
{{Harmonics in equal|231|intervals=odd|prec=2|columns=28|title=[[231edo]] (L=13, s=5, BrightGen is 122; ''patent ~13/9 = 123''; ''patent ~23/16 = 121''; ''patent ~49/34 = 121''; patent ~62/43 = 122; patent ~75/52 = | {{Harmonics in equal|231|intervals=odd|prec=2|columns=28|title=[[231edo]] (L=13, s=5, BrightGen is 122; ''patent ~13/9 = 123''; ''patent ~23/16 = 121''; ''patent ~49/34 = 121''; patent ~62/43 = 122; ''patent ~75/52 = 121''; ''patent ~384/265 = 124''; ''patent ~59049/40960 = 121'')}} | ||
{{Harmonics in equal|142|intervals=odd|prec=2|columns=28|title=[[142edo]] (L=8, s=3, BrightGen is 75; patent ~13/9 = 75; ''patent ~23/16 = 74''; ''patent ~49/34 = 76''; ''patent ~62/43 = 74, 'k' wart usable''; patent ~75/52 = | {{Harmonics in equal|142|intervals=odd|prec=2|columns=28|title=[[142edo]] (L=8, s=3, BrightGen is 75; patent ~13/9 = 75; ''patent ~23/16 = 74''; ''patent ~49/34 = 76''; ''patent ~62/43 = 74, 'k' wart usable''; ''patent ~75/52 = 76'', 'f' wart usable; ''patent ~384/265 = 76''; ''patent ~59049/40960 = 74'')}} | ||
{{Harmonics in equal|195|intervals=odd|prec=2|columns=28|title=[[195edo]] (L=11, s=4, BrightGen is 103; ''patent ~13/9 = 104, 'f' wart usable but requires 'e' wart for 11th harmonic''; ''patent ~23/16 = 102''; patent ~49/34 = 102; patent ~62/43 = 103; patent ~75/52 = | {{Harmonics in equal|195|intervals=odd|prec=2|columns=28|title=[[195edo]] (L=11, s=4, BrightGen is 103; ''patent ~13/9 = 104, 'f' wart usable but requires 'e' wart for 11th harmonic''; ''patent ~23/16 = 102''; patent ~49/34 = 102; patent ~62/43 = 103; patent ~75/52 = 103; ''patent ~384/265 = 104''; ''patent ~59049/40960 = 102'')}} | ||
{{Harmonics in equal|53|intervals=odd|prec=2|columns=28|title=[[53edo]] (L=3, s=1, BrightGen is 28; patent ~13/9 = 28; patent ~23/16 = 28; patent ~49/34 = 28; patent ~62/43 = 28; patent ~75/52 = | {{Harmonics in equal|53|intervals=odd|prec=2|columns=28|title=[[53edo]] (L=3, s=1, BrightGen is 28; patent ~13/9 = 28; patent ~23/16 = 28; patent ~49/34 = 28; patent ~62/43 = 28; patent ~75/52 = 28; patent ~384/265 = 28; patent ~59049/40960 = 28) — Hard 17L 2s}} | ||
{{Harmonics in equal|176|intervals=odd|prec=2|columns=28|title=[[176edo]] (L=10, s=3, BrightGen is 93; patent ~13/9 = 93; ''patent ~23/16 = 92''; patent ~49/34 = 93; patent ~62/43 = 93; patent ~75/52 = | {{Harmonics in equal|176|intervals=odd|prec=2|columns=28|title=[[176edo]] (L=10, s=3, BrightGen is 93; patent ~13/9 = 93; ''patent ~23/16 = 92''; patent ~49/34 = 93; patent ~62/43 = 93; ''patent ~75/52 = 94''; ''patent ~384/265 = 94''; patent ~59049/40960 = 93)}} | ||
{{Harmonics in equal|123|intervals=odd|prec=2|columns=28|title=[[123edo]] (L=7, s=2, BrightGen is 65; patent ~13/9 = 65; ''patent ~23/16 = 64, 'i' wart is usable''; ''patent ~49/34 = 64''; patent ~62/43 = 65; patent ~75/52 = | {{Harmonics in equal|123|intervals=odd|prec=2|columns=28|title=[[123edo]] (L=7, s=2, BrightGen is 65; patent ~13/9 = 65; ''patent ~23/16 = 64, 'i' wart is usable''; ''patent ~49/34 = 64''; patent ~62/43 = 65; ''patent ~75/52 = 66''; patent ~384/265 = 65; patent ~59049/40960 = 65)}} | ||
{{Harmonics in equal|193|intervals=odd|prec=2|columns=28|title=[[193edo]] (L=11, s=3, BrightGen is 102; patent ~13/9 = 102; ''patent ~23/16 = 101''; patent ~49/34 = 102; patent ~62/43 = 102; patent ~75/52 = | {{Harmonics in equal|193|intervals=odd|prec=2|columns=28|title=[[193edo]] (L=11, s=3, BrightGen is 102; patent ~13/9 = 102; ''patent ~23/16 = 101''; patent ~49/34 = 102; patent ~62/43 = 102; patent ~75/52 = 102; ''patent ~384/265 = 104''; ''patent ~59049/40960 = 103'')}} | ||
{{Harmonics in equal|70|intervals=odd|prec=2|columns=28|title=[[70edo]] (L=4, s=1, BrightGen is 37; patent ~13/9 = 37; patent ~23/16 = 37; patent ~49/34 = 38; patent ~62/43 = 37; patent ~75/52 = | {{Harmonics in equal|70|intervals=odd|prec=2|columns=28|title=[[70edo]] (L=4, s=1, BrightGen is 37; patent ~13/9 = 37; patent ~23/16 = 37; patent ~49/34 = 38; patent ~62/43 = 37; ''patent ~75/52 = 38''; patent ~384/265 = 37; patent ~59049/40960 = 37) — Superhard 17L 2s}} | ||
{{Harmonics in equal|157|intervals=odd|prec=2|columns=28|title=[[157edo]] (L=9, s=2, BrightGen is 83; patent ~13/9 = 83; ''patent ~23/16 = 82''; patent ~49/34 = 83; patent ~62/43 = 83; patent ~75/52 = | {{Harmonics in equal|157|intervals=odd|prec=2|columns=28|title=[[157edo]] (L=9, s=2, BrightGen is 83; patent ~13/9 = 83; ''patent ~23/16 = 82''; patent ~49/34 = 83; patent ~62/43 = 83; ''patent ~75/52 = 84''; ''patent ~384/265 = 84''; ''patent ~59049/40960 = 84'')}} | ||
{{Harmonics in equal|87|intervals=odd|prec=2|columns=28|title=[[87edo]] (L=5, s=1, BrightGen is 46; patent ~13/9 = 46 ; patent ~23/16 = 46; ''patent ~49/34 = 45''; patent ~62/43 = 46; patent ~75/52 = | {{Harmonics in equal|87|intervals=odd|prec=2|columns=28|title=[[87edo]] (L=5, s=1, BrightGen is 46; patent ~13/9 = 46 ; patent ~23/16 = 46; ''patent ~49/34 = 45''; patent ~62/43 = 46; patent ~75/52 = 46; ''patent ~384/265 = 47''; ''patent ~59049/40960 = 47'')}} | ||
{{Harmonics in equal|104|intervals=odd|prec=2|columns=28|title=[[104edo]] (L=6, s=1, BrightGen is 55; patent ~13/9 = 55; ''patent ~23/16 = 54''; patent ~49/34 = 55; patent ~62/43 = 55; patent ~75/52 = | {{Harmonics in equal|104|intervals=odd|prec=2|columns=28|title=[[104edo]] (L=6, s=1, BrightGen is 55; patent ~13/9 = 55; ''patent ~23/16 = 54''; patent ~49/34 = 55; patent ~62/43 = 55; ''patent ~75/52 = 54''; ''patent ~384/265 = 56''; ''patent ~59049/40960 = 57'')}} | ||
{{Harmonics in equal|17|intervals=odd|prec=2|columns=28|title=[[17edo]] (L=1, s=0, BrightGen is 9; patent ~13/9 = 9; patent ~23/16 = 9; ''patent ~49/34 = 10, 'g' wart usable but requires 'c' wart for 5th harmonic''; patent ~62/43 = 9; patent ~75/52 = | {{Harmonics in equal|17|intervals=odd|prec=2|columns=28|title=[[17edo]] (L=1, s=0, BrightGen is 9; patent ~13/9 = 9; patent ~23/16 = 9; ''patent ~49/34 = 10, 'g' wart usable but requires 'c' wart for 5th harmonic''; patent ~62/43 = 9; ''patent ~75/52 = 8''; ''patent ~384/265 = 10''; c val ~384/265 = 9; ''patent ~59049/40960 = 10''; c val ~59049/40960 = 9) — Collapsed 17L 2s}} | ||
(Need a way to combine the collection of tables into a single table for better readability.) | (Need a way to combine the collection of tables into a single table for better readability.) | ||
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Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:42, 8 April 2025 (UTC)<br> | Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:42, 8 April 2025 (UTC)<br> | ||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) | Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:46, 18 June 2025 (UTC) | ||