EDT: Difference between revisions
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| | [[51edt]] | | | [[51edt]] | ||
| | [[32edo]] | | | [[32edo]] | ||
| | 51edt is 32edo with ~6.6 cent octave compression. Patent vals match through the | | | 51edt is 32edo with ~6.6 cent octave compression. Patent vals match through the 11-limit, with the exception of 5. | ||
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| | [[52edt]] | | | [[52edt]] | ||
| | [[33edo]] | | | [[33edo]] | ||
| | 52edt is 33edo with ~7 cent octave stretch. Patent vals | | | 52edt is 33edo with ~7 cent octave stretch (rough correspondence). Patent vals differ in the 5-limit. | ||
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| | [[53edt]] | | | [[53edt]] | ||
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| | [[58edt]] | | | [[58edt]] | ||
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| | 58edt falls exactly halfway between 36 and 37 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it | | | 58edt falls exactly halfway between 36 and 37 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it resembles the scale with generator 2\73 of an octave. | ||
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| | [[59edt]] | | | [[59edt]] | ||
| | [[37edo]] | | | [[37edo]] | ||
| | 59edt is 37edo with~7. | | | 59edt is 37edo with ~7.2 cent octave compression (rough correspondence). Patent vals match through the 5-limit. | ||
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| | [[60edt]] | | | [[60edt]] | ||
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| | [[63edt]] | | | [[63edt]] | ||
| | [[40edo]] | | | [[40edo]] | ||
| | 63edt is 40edo with ~7.6 cent stretched octaves. Patent vals match through the | | | 63edt is 40edo with ~7.6 cent stretched octaves (rough correspondence). Patent vals match through the 11-limit, with the exception of 5. | ||
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| | [[64edt]] | | | [[64edt]] | ||
| | | | | | ||
| | 64edt falls exactly halfway between 40 and 41 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it | | | 64edt falls exactly halfway between 40 and 41 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it resembles the scale with generator 2\81 of an octave. | ||
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| | [[65edt]] | | | [[65edt]] | ||
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| | [[66edt]] | | | [[66edt]] | ||
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| | 66edt falls exactly halfway between 41 and 42 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it | | | 66edt falls exactly halfway between 41 and 42 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it resembles the scale with generator 2\83 of an octave. | ||
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| | [[67edt]] | | | [[67edt]] | ||
| | [[42edo]] | | | [[42edo]] | ||
| | 67edt is 42edo with ~7.3 cent compressed octaves. Patent vals match through the 5-limit, though the 5s cannot be said to match with a straight face. | | | 67edt is 42edo with ~7.3 cent compressed octaves (rough correspondence). Patent vals match through the 5-limit, though the 5s cannot be said to match with a straight face. | ||
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| | [[68edt]] | | | [[68edt]] | ||
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| | [[71edt]] | | | [[71edt]] | ||
| | [[45edo]] | | | [[45edo]] | ||
| | 71edt is is 45edo with ~4.5 cent stretched octaves. Patent vals match through the 7-limit, with the exception of 5. | | | 71edt is is 45edo with ~4.5 cent stretched octaves (rough correspondence). Patent vals match through the 7-limit, with the exception of 5. | ||
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| | [[72edt]] | | | [[72edt]] | ||
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| | [[78edt]] | | | [[78edt]] | ||
| | [[49edo]] | | | [[49edo]] | ||
| | 78edt is 49edo with ~5.2 cent compressed octaves. | | | 78edt is 49edo with ~5.2 cent compressed octaves (rough correspondence). Patent vals match through the 11-limit, though the 77s rather than either the 7s or 11s individually can be said to match with a straight face. | ||
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| | [[79edt]] | | | [[79edt]] | ||
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| | [[83edt]] | | | [[83edt]] | ||
| | | | | | ||
| | 83edt falls exactly halfway between | | | 83edt falls exactly halfway between 52 and 53 edos. so it resembles the scale with generator 2\105 of an octave, but technically does not entirely miss 2/1 due to having a step of ~22.9¢. | ||
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| | [[84edt]] | | | [[84edt]] | ||
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| | [[85edt]] | | | [[85edt]] | ||
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| | 85edt falls exactly halfway between 53 and 54 edos, so it | | | 85edt falls exactly halfway between 53 and 54 edos, so it resembles the scale with generator 2\107 of an octave, but technically does not entirely miss 2/1 due to having a step of ~22.4¢. | ||
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| | [[86edt]] | | | [[86edt]] | ||
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| | [[90edt]] | | | [[90edt]] | ||
| | [[57edo]] | | | [[57edo]] | ||
| | Same ~4.6 cent octave stretch as 30edt~19edo. Patent vals match through the 5-limit. | | | Same ~4.6 cent octave stretch as 30edt~19edo (rough correspondence). Patent vals match through the 5-limit. | ||
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| | [[91edt]] | | | [[91edt]] | ||
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| | [[97edt]] | | | [[97edt]] | ||
| | [[61edo]] | | | [[61edo]] | ||
| | 97edt is 61edo with ~3.9 cent compressed octaves. Patent vals match through the 5-limit. | | | 97edt is 61edo with ~3.9 cent compressed octaves (rough correspondence). Patent vals match through the 5-limit. | ||
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| | [[98edt]] | | | [[98edt]] | ||
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| | [[104edt]] | | | [[104edt]] | ||
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| | 104edt falls exactly halfway between 65 and 66 edos, so it | | | 104edt falls exactly halfway between 65 and 66 edos, so it resembles the scale with generator 2\131 of an octave, but technically does not entirely miss 2/1 due to having a step of ~18.3¢. | ||
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| | [[105edt]] | | | [[105edt]] | ||
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| | [[109edt]] | | | [[109edt]] | ||
| | [[69edo]] | | | [[69edo]] | ||
| | 109edt is 69edo with ~4 cent stretched octaves. Patent vals match through the 5-limit. | | | 109edt is 69edo with ~4 cent stretched octaves (rough correspondence). Patent vals match through the 5-limit. | ||
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| | [[110edt]] | | | [[110edt]] | ||
| | | | | | ||
| | 110edt falls exactly halfway between 69 and 70 edos, so it | | | 110edt falls exactly halfway between 69 and 70 edos, so it resembles the scale with generator 2\139 of an octave, but technically does not entirely miss 2/1 due to having a step of ~17.3¢. | ||
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| | [[111edt]] | | | [[111edt]] | ||
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| | [[120edt]] | | | [[120edt]] | ||
| | [[76edo]] | | | [[76edo]] | ||
| | Same ~4.6 cent octave stretch as 30edt~19edo. Patent vals match through the 7-limit, though the 7s cannot be said to match with a straight face. | | | Same ~4.6 cent octave stretch as 30edt~19edo (rough correspondence). Patent vals match through the 7-limit, though the 7s cannot be said to match with a straight face. | ||
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| | [[121edt]] | | | [[121edt]] | ||
| | | | | | ||
| | 121edt falls exactly halfway between 76 and 77 edos, so it | | | 121edt falls exactly halfway between 76 and 77 edos, so it resembles the scale with generator 2\153 of an octave, but technically does not entirely miss 2/1 due to having a step of ~15.7¢. | ||
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| | [[122edt]] | | | [[122edt]] | ||
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| | [[128edt]] | | | [[128edt]] | ||
| | [[81edo]] | | | [[81edo]] | ||
| | 128edt is 81edo with ~3.6 cent stretched octaves. Patent vals match through the | | | 128edt is 81edo with ~3.6 cent stretched octaves. Patent vals match through the 7-limit, though the 5s cannot be said to match with a straight face. | ||
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| | [[129edt]] | | | [[129edt]] | ||
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| | [[130edt]] | | | [[130edt]] | ||
| | [[82edo]] | | | [[82edo]] | ||
| | Same ~0.31 cent octave compression as 65edt~41edo. | | | Same ~0.31 cent octave compression as 65edt~41edo. Patent vals match through the 43-limit, with the exception of 13. | ||
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| | [[131edt]] | | | [[131edt]] | ||
| | | | | | ||
| | 131edt falls exactly halfway between 82 and 83 edos, so it | | | 131edt falls exactly halfway between 82 and 83 edos, so it resembles the scale with generator 2\165 of an octave, but technically does not entirely miss 2/1 due to having a step of ~14.5¢. | ||
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| | [[132edt]] | | | [[132edt]] | ||
| | [[83edo]] | | | [[83edo]] | ||
| | 132edt is 83edo with ~4.1 cent compressed octaves. | | | 132edt is 83edo with ~4.1 cent compressed octaves (rough correspondence). Patent vals match through the 5-limit. | ||
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| | [[133edt]] | | | [[133edt]] | ||
| | [[84edo]] | | | [[84edo]] | ||
| | Same ~1.2 cent octave stretch as 19edt~12edo. | | | Same ~1.2 cent octave stretch as 19edt~12edo. Patent vals match through the 7-limit. | ||
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| | [[134edt]] | | | [[134edt]] | ||