User:Lucius Chiaraviglio/Musical Mad Science: Difference between revisions

Musical Mad Science Musings on Diatonicized Sixth-Tone Sub-Chromaticism(?): Rename to Diatonicized Third-Tone Sub-Chromaticism and add explanation of this in the introduction; recommend future temperament name Wonderland
Musical Mad Science Musings on Diatonicized Third-Tone Sub-Chromaticism: Add mappings for ~49/34; still need to do this for ~75/52
Line 134: Line 134:
The following table (actually a collection of tables for now) is for tracking trends in odd harmonics along the tuning spectrum of [[17L 2s]]; it is intended to match the organization of [[17L_2s#Scale_tree|the corresponding scale tree]] (but this needs to be updated for addition of another column on 2025-05-12 — will do this after filling in candidate generator mappings for EDOs already in this table).  For each EDO, it includes a list of plausible candidates for the 17L 2s bright generator (BrightGen), with ''candidates failing to map to the bright generator in italics, along with plausible wart fixes (if any)''.
The following table (actually a collection of tables for now) is for tracking trends in odd harmonics along the tuning spectrum of [[17L 2s]]; it is intended to match the organization of [[17L_2s#Scale_tree|the corresponding scale tree]] (but this needs to be updated for addition of another column on 2025-05-12 — will do this after filling in candidate generator mappings for EDOs already in this table).  For each EDO, it includes a list of plausible candidates for the 17L 2s bright generator (BrightGen), with ''candidates failing to map to the bright generator in italics, along with plausible wart fixes (if any)''.


{{Harmonics in equal|19|intervals=odd|prec=2|columns=28|title=[[19edo]] (L=1, s=1, BrightGen is 10; patent ~[[13/9]] = 10; patent ~[[23/16]] = 10; patent ~[[49/34]] = _; patent ~[[62/43]] = 10; patent ~[[75/52]] = _; patent ~[[384/265]] = 10; ''patent ~[[59049/40960]] = 9'') — Equalized 17L 2s}}
{{Harmonics in equal|19|intervals=odd|prec=2|columns=28|title=[[19edo]] (L=1, s=1, BrightGen is 10; patent ~[[13/9]] = 10; patent ~[[23/16]] = 10; ''patent ~[[49/34]] = 9''; patent ~[[62/43]] = 10; patent ~[[75/52]] = _; patent ~[[384/265]] = 10; ''patent ~[[59049/40960]] = 9'') — Equalized 17L 2s}}
{{Harmonics in equal|112|intervals=odd|prec=2|columns=28|title=[[112edo]] (L=6, s=5, BrightGen is 59; ''patent ~13/9 = 58; b val ~13/9 = 60''; patent ~23/16 = 59; patent ~49/34 = _; patent ~62/43 = 59; patent 75/52 = _; ''patent ~384/265 = 60; b val ~384/255 = 61''; ''patent ~59049/40960 = 64; b val ~59049/40960 = 54'')}}
{{Harmonics in equal|112|intervals=odd|prec=2|columns=28|title=[[112edo]] (L=6, s=5, BrightGen is 59; ''patent ~13/9 = 58; b val ~13/9 = 60''; patent ~23/16 = 59; ''patent ~49/34 = 58''; patent ~62/43 = 59; patent ~75/52 = _; ''patent ~384/265 = 60; b val ~384/255 = 61''; ''patent ~59049/40960 = 64; b val ~59049/40960 = 54'')}}
{{Harmonics in equal|93|intervals=odd|prec=2|columns=28|title=[[93edo]] (L=5, s=4, BrightGen is 49; ''patent ~13/9 = 50''; patent ~23/16 = 49; patent ~49/34 = _; patent ~62/43 = 49; patent 75/52 = _; patent ~384/265 = 49; ''patent ~59049/40960 = 45'')}}
{{Harmonics in equal|93|intervals=odd|prec=2|columns=28|title=[[93edo]] (L=5, s=4, BrightGen is 49; ''patent ~13/9 = 50''; patent ~23/16 = 49; patent ~49/34 = 49; patent ~62/43 = 49; patent ~75/52 = _; patent ~384/265 = 49; ''patent ~59049/40960 = 45'')}}
{{Harmonics in equal|167|intervals=odd|prec=2|columns=28|title=[[167edo]] (L=9, s=7, BrightGen is 88; patent ~13/9 = 88; ''patent ~23/16 = 87''; patent ~49/34 = _; patent ~62/43 = 88; patent 75/52 = _; ''patent ~384/265 = 89''; ''patent ~59049/40960 = 91'')}}
{{Harmonics in equal|167|intervals=odd|prec=2|columns=28|title=[[167edo]] (L=9, s=7, BrightGen is 88; patent ~13/9 = 88; ''patent ~23/16 = 87''; patent ~49/34 = 88; patent ~62/43 = 88; patent ~75/52 = _; ''patent ~384/265 = 89''; ''patent ~59049/40960 = 91'')}}
{{Harmonics in equal|74|intervals=odd|prec=2|columns=28|title=[[74edo]] (L=4, s=3, BrightGen is 39; ''patent ~13/9 = 40''; patent ~23/16 = 39; patent ~49/34 = _; patent ~62/43 = 39; patent 75/52 = _; patent ~384/265 = 39; ''patent ~59049/40960 = 36'') — Supersoft 17L 2s}}
{{Harmonics in equal|74|intervals=odd|prec=2|columns=28|title=[[74edo]] (L=4, s=3, BrightGen is 39; ''patent ~13/9 = 40''; patent ~23/16 = 39; ''patent ~49/34 = 40, 'g' wart usable''; patent ~62/43 = 39; patent ~75/52 = _; patent ~384/265 = 39; ''patent ~59049/40960 = 36'') — Supersoft 17L 2s}}
{{Harmonics in equal|203|intervals=odd|prec=2|columns=28|title=[[203edo]] (L=11, s=8, BrightGen is 107; patent ~13/9 = 107; ''patent ~23/16 = 106''; patent ~49/34 = _; patent ~62/43 = 107; patent 75/52 = _; ''patent ~384/265 = 109''; ''patent ~59049/40960 = 110'')}}
{{Harmonics in equal|203|intervals=odd|prec=2|columns=28|title=[[203edo]] (L=11, s=8, BrightGen is 107; patent ~13/9 = 107; ''patent ~23/16 = 106''; patent ~49/34 = 107; patent ~62/43 = 107; patent ~75/52 = _; ''patent ~384/265 = 109''; ''patent ~59049/40960 = 110'')}}
{{Harmonics in equal|129|intervals=odd|prec=2|columns=28|title=[[129edo]] (L=7, s=5, BrightGen is 68; ''patent ~13/9 = 69''; patent ~23/16 = 68; patent ~49/34 = _; patent ~62/43 = 68; patent 75/52 = _; patent ~384/265 = 68; ''patent ~59049/40960 = 63'')}}
{{Harmonics in equal|129|intervals=odd|prec=2|columns=28|title=[[129edo]] (L=7, s=5, BrightGen is 68; ''patent ~13/9 = 69''; patent ~23/16 = 68; patent ~49/34 = 68; patent ~62/43 = 68; patent ~75/52 = _; patent ~384/265 = 68; ''patent ~59049/40960 = 63'')}}
{{Harmonics in equal|184|intervals=odd|prec=2|columns=28|title=[[184edo]] (L=10, s=7, BrightGen is 97; patent ~13/9 = 97; ''patent ~23/16 = 96, 'i' wart usable''; patent ~49/34 = _; patent ~62/43 = 97; patent 75/52 = _; ''patent ~384/265 = 99''; ''patent ~59049/40960 = 101'')}}
{{Harmonics in equal|184|intervals=odd|prec=2|columns=28|title=[[184edo]] (L=10, s=7, BrightGen is 97; patent ~13/9 = 97; ''patent ~23/16 = 96, 'i' wart usable''; ''patent ~49/34 = 98''; patent ~62/43 = 97; patent ~75/52 = _; ''patent ~384/265 = 99''; ''patent ~59049/40960 = 101'')}}
{{Harmonics in equal|55|intervals=odd|prec=2|columns=28|title=[[55edo]] (L=3, s=2, BrightGen is 29; ''patent ~13/9 = 30''; patent ~23/16 =  29; patent ~49/34 = _; patent ~62/43 = 29; patent 75/52 = _; patent ~384/265 = 29; ''patent ~59049/40960 = 27'') — Soft 17L 2s}}
{{Harmonics in equal|55|intervals=odd|prec=2|columns=28|title=[[55edo]] (L=3, s=2, BrightGen is 29; ''patent ~13/9 = 30''; patent ~23/16 =  29; ''patent ~49/34 = 28''; patent ~62/43 = 29; patent ~75/52 = _; patent ~384/265 = 29; ''patent ~59049/40960 = 27'') — Soft 17L 2s}}
{{Harmonics in equal|201|intervals=odd|prec=2|columns=28|title=[[201edo]] (L=11, s=7, BrightGen is 106; patent ~13/9 = 106; ''patent ~23/16 = 105''; patent ~49/34 = _; patent ~62/43 = 106; patent 75/52 = _; ''patent ~384/265 = 108''; ''patent ~59049/40960 = 110'')}}
{{Harmonics in equal|201|intervals=odd|prec=2|columns=28|title=[[201edo]] (L=11, s=7, BrightGen is 106; patent ~13/9 = 106; ''patent ~23/16 = 105''; ''patent ~49/34 = 105, 'g' wart usable''; patent ~62/43 = 106; patent ~75/52 = _; ''patent ~384/265 = 108''; ''patent ~59049/40960 = 110'')}}
{{Harmonics in equal|146|intervals=odd|prec=2|columns=28|title=[[146edo]] (L=8, s=5, BrightGen is 77; ''patent ~13/9 = 78''; ''patent ~23/16 = 76''; patent ~49/34 = _; patent ~62/43 = 77; patent 75/52 = _; ''patent ~384/265 = 78''; ''patent ~59049/40960 = 73'')}}
{{Harmonics in equal|146|intervals=odd|prec=2|columns=28|title=[[146edo]] (L=8, s=5, BrightGen is 77; ''patent ~13/9 = 78''; ''patent ~23/16 = 76''; patent ~49/34 = 77; patent ~62/43 = 77; patent ~75/52 = _; ''patent ~384/265 = 78''; ''patent ~59049/40960 = 73'')}}
{{Harmonics in equal|237|intervals=odd|prec=2|columns=28|title=[[237edo]] (L=13, s=8, BrightGen is 125; patent ~13/9 = 125; patent ~23/16 = 124; patent ~49/34 = _; patent ~62/43 = 125; patent 75/52 = _; ''patent ~384/265 = 127''; ''patent ~59049/40960 = 129'')}}
{{Harmonics in equal|237|intervals=odd|prec=2|columns=28|title=[[237edo]] (L=13, s=8, BrightGen is 125; patent ~13/9 = 125; patent ~23/16 = 124; ''patent ~49/34 = 124''; patent ~62/43 = 125; patent ~75/52 = _; ''patent ~384/265 = 127''; ''patent ~59049/40960 = 129'')}}
{{Harmonics in equal|91|intervals=odd|prec=2|columns=28|title=[[91edo]] (L=5, s=3, BrightGen is 48; ''patent ~13/9 = 49''; patent ~23/16 = 48; patent ~49/34 = _; patent ~62/43 = 48; patent 75/52 = _; ''patent ~384/265 = 49''; ''patent ~59049/40960 = 46'') — Semisoft 17L 2s}}
{{Harmonics in equal|91|intervals=odd|prec=2|columns=28|title=[[91edo]] (L=5, s=3, BrightGen is 48; ''patent ~13/9 = 49''; patent ~23/16 = 48; ''patent ~49/34 = 47''; patent ~62/43 = 48; patent ~75/52 = _; ''patent ~384/265 = 49''; ''patent ~59049/40960 = 46'') — Semisoft 17L 2s}}
{{Harmonics in equal|218|intervals=odd|prec=2|columns=28|title=[[218edo]] (L=12, s=7, BrightGen is 115; patent ~13/9 = 115; ''patent ~23/16 = 114''; patent ~49/34 = _; patent ~62/43 = 115; patent 75/52 = _; ''patent ~384/265 = 117''; ''patent ~59049/40960 = 120'')}}
{{Harmonics in equal|218|intervals=odd|prec=2|columns=28|title=[[218edo]] (L=12, s=7, BrightGen is 115; patent ~13/9 = 115; ''patent ~23/16 = 114''; patent ~49/34 = 115; patent ~62/43 = 115; patent ~75/52 = _; ''patent ~384/265 = 117''; ''patent ~59049/40960 = 120'')}}
{{Harmonics in equal|127|intervals=odd|prec=2|columns=28|title=[[127edo]] (L=7, s=4, BrightGen is 67; ''patent ~13/9 = 68''; ''patent ~23/16 = 66, 'i' wart usable''; patent ~49/34 = _; patent ~62/43 = 67; patent 75/52 = _; ''patent ~384/265 = 68''; ''patent ~59049/40960 = 64'')}}
{{Harmonics in equal|127|intervals=odd|prec=2|columns=28|title=[[127edo]] (L=7, s=4, BrightGen is 67; ''patent ~13/9 = 68''; ''patent ~23/16 = 66, 'i' wart usable''; ''patent ~49/34 = 68''; patent ~62/43 = 67; patent ~75/52 = _; ''patent ~384/265 = 68''; ''patent ~59049/40960 = 64'')}}
{{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 = _; ''patent ~62/43 = 87 'k' wart usable''; patent 75/52 = _; ''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 = _; ''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 = _; patent ~62/43 = 19; patent 75/52 = _; 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 = _; 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 = _; patent ~62/43 = 85; patent 75/52 = _; ''patent ~384/265 = 86''; ''patent ~59049/40960 = 83'')}}
{{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 = _; ''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 = _; patent ~62/43 = 66; patent 75/52 = _; ''patent ~384/265 = 67''; ''patent ~59049/40960 = 65'')}}
{{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 = _; ''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 = _; patent ~62/43 = 113; patent 75/52 = _; ''patent ~384/265 = 114''; ''patent ~59049/40960 = 111'')}}
{{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 = _; ''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 = _; patent ~62/43 = 47; patent 75/52 = _; patent ~384/265 = 47; ''patent ~59049/40960 = 46'') — Semihard 17L 2s}}
{{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 = _; 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 = _; patent ~62/43 = 122; patent 75/52 = _; ''patent ~384/265 = 124''; ''patent ~59049/40960 = 121'')}}
{{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 = _; ''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 = _; ''patent ~62/43 = 74, 'k' wart usable''; patent 75/52 = _; ''patent ~384/265 = 76''; ''patent ~59049/40960 = 74'')}}
{{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 = _; ''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 = _; patent ~62/43 = 103; patent 75/52 = _; ''patent ~384/265 = 104''; ''patent ~59049/40960 = 102'')}}
{{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 = _; ''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 = _; patent ~62/43 = 28; patent 75/52 = _; patent ~384/265 = 28; patent ~59049/40960 = 28) — Hard 17L 2s}}
{{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 = _; 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 = _; patent ~62/43 = 93; patent 75/52 = _; ''patent ~384/265 = 94''; patent ~59049/40960 = 93)}}
{{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 = _; ''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 = _; patent ~62/43 = 65; patent 75/52 = _; patent ~384/265 = 65; patent ~59049/40960 = 65)}}
{{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 = _; 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 = _; patent ~62/43 = 102; patent 75/52 = _; ''patent ~384/265 = 104''; ''patent ~59049/40960 = 103'')}}
{{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 = _; ''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 = _; patent ~62/43 = 37; patent 75/52 = _; patent ~384/265 = 37; patent ~59049/40960 = 37) — Superhard 17L 2s}}
{{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 = _; 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 = _; patent ~62/43 = 83; patent 75/52 = _; ''patent ~384/265 = 84''; ''patent ~59049/40960 = 84'')}}
{{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 = _; ''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 = _; patent ~62/43 = 46; patent 75/52 = _; ''patent ~384/265 = 47''; ''patent ~59049/40960 = 47'')}}
{{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 = _; ''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 = _; patent ~62/43 = 55; patent 75/52 = _; ''patent ~384/265 = 56''; ''patent ~59049/40960 = 57'')}}
{{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 = _; ''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 = _; patent ~62/43 = 9; patent 75/52 = _; ''patent ~384/265 = 10''; c val ~384/265 = 9; ''patent ~59049/40960 = 10''; c val ~59049/40960 = 9) — Collapsed 17L 2s}}
{{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 = _; ''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.)