EDT: Difference between revisions

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Tags: Mobile edit Mobile web edit
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| | [[19edt]]
| | [[19edt]]
| | [[12edo]]
| | [[12edo]]
| | 19edt is 12edo with ~1.2 cent octave stretch, and consistent through the 10-integer-limit. Patent vals match through the 7-limit.
| | 19edt is 12edo with ~1.2 cent octave stretch. Patent vals match through the 7-limit.
|-
|-
| | [[20edt]]
| | [[20edt]]
Line 471: Line 471:
| | [[24edt]]
| | [[24edt]]
| | [[15edo]]
| | [[15edo]]
| | This is only a rough correspondence, as the (8n)edt ~ (5n)edo sequence begins to break down. Patent vals match through the 13-limit, with the exception of 7 (24edt is only consistent through the 6-integer-limit, with discrepancy for the 7th harmonic).
| | This is only a rough correspondence, as the (8n)edt ~ (5n)edo sequence begins to break down. Patent vals match through the 13-limit, with the exception of 7.
|-
|-
| | [[25edt]]
| | [[25edt]]
| | [[16edo]]
| | [[16edo]]
| | Also only a rough correspondence; 25edt corresponds to 16edo with ~17 cent octave stretch, and patent vals match through the 5-limit. 25edt is only consistent through the 6-integer-limit, with discrepancy for the 7th harmonic.
| | Also only a rough correspondence; 25edt corresponds to 16edo with ~17 cent octave stretch, and patent vals match through the 5-limit.
|-
|-
| | [[26edt]]
| | [[26edt]]
Line 494: Line 494:
| | [[30edt]]
| | [[30edt]]
| | [[19edo]]
| | [[19edo]]
| | 30edt is 19edo with ~5 cent stretched octaves, and consistent through the 10-integer-limit. Patent vals match through the 7-limit.
| | 30edt is 19edo with ~4.6 cent stretched octaves. Patent vals match through the 7-limit.
|-
|-
| | [[31edt]]
| | [[31edt]]
Line 514: Line 514:
| | [[35edt]]
| | [[35edt]]
| | [[22edo]]
| | [[22edo]]
| | 35edt is 22edo with ~4 cent compressed octaves, and consistent through the 12-integer-limit. Patent vals match through the 11-limit.
| | 35edt is 22edo with ~4.5 cent compressed octaves. Patent vals match through the 11-limit.
|-
|-
| | [[36edt]]
| | [[36edt]]
Line 525: Line 525:
| | [[38edt]]
| | [[38edt]]
| | [[24edo]]
| | [[24edo]]
| | Same ~1.2 cent octave stretch as 19edt~12edo. 38edt is consistent through the 6-integer-limit. Patent vals match through the 19-limit.
| | Same ~1.2 cent octave stretch as 19edt~12edo. Patent vals match through the 19-limit.
|-
|-
| | [[39edt]]
| | [[39edt]]
Line 536: Line 536:
| | [[41edt]]
| | [[41edt]]
| | [[26edo]]
| | [[26edo]]
| | 41edt is 26edo with ~6 cent stretched octaves, but only consistent through the 10-integer-limit, with discrepancy for the 11th harmonic. Patent vals match through the 7-limit.
| | 41edt is 26edo with ~6.1 cent stretched octaves. Patent vals match through the 7-limit.
|-
|-
| | [[42edt]]
| | [[42edt]]
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| | [[43edt]]
| | [[43edt]]
| | [[27edo]]
| | [[27edo]]
| | 43edt is 27edo with ~6 cent compressed octaves, and consistent through the 10-integer-limit. Patent vals match through the 7-limit.
| | 43edt is 27edo with ~5.7 cent compressed octaves. Patent vals match through the 7-limit.
|-
|-
| | [[44edt]]
| | [[44edt]]
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| | [[46edt]]
| | [[46edt]]
| | [[29edo]]
| | [[29edo]]
| | 46edt is 29edo with ~0.9 cent compressed octaves, and consistent through the 16-integer-limit. Patent vals match through the 89-limit.
| | 46edt is 29edo with ~0.94 cent compressed octaves. Patent vals match through the 89-limit.
|-
|-
| | [[47edt]]
| | [[47edt]]
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| | [[49edt]]
| | [[49edt]]
| | [[31edo]]
| | [[31edo]]
| | 49edt is 31edo with ~3.3 cent stretched octaves, and consistent through the 12-integer-limit. Patent vals match through the 11-limit.
| | 49edt is 31edo with ~3.3 cent stretched octaves. Patent vals match through the 11-limit.
|-
|-
| | [[54edt]]
| | [[54edt]]
| | [[34edo]]
| | [[34edo]]
| | Same ~2.5 cent octave compression as 27edt~17edo. 54edt is consistent through the 7-integer-limit. Patent vals match through the 17-limit, with the exception of 7.
| | Same ~2.5 cent octave compression as 27edt~17edo. Patent vals match through the 17-limit, with the exception of 7.
|-
|-
| | [[57edt]]
| | [[57edt]]
| | [[36edo]]
| | [[36edo]]
| | Same ~1.2 cent octave stretch as 19edt~12edo. 57edt is consistent through the 9-integer-limit. Patent vals match through the 31-limit, with the exception of 11.
| | Same ~1.2 cent octave stretch as 19edt~12edo. Patent vals match through the 31-limit, with the exception of 11.
|-
|-
| | [[60edt]]
| | [[60edt]]
| | [[38edo]]
| | [[38edo]]
| | Same ~5 cent octave stretch as 30edt~19edo. Patent vals match through the 5-limit.
| | Same ~4.6 cent octave stretch as 30edt~19edo. Patent vals match through the 5-limit.
|-
|-
| | [[62edt]]
| | [[62edt]]
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| | [[65edt]]
| | [[65edt]]
| | [[41edo]]
| | [[41edo]]
| | 65edt is 41edo with ~0.3 cent compressed octaves, and consistent through the 16-integer-limit. Patent vals match through the 19-limit.
| | 65edt is 41edo with ~0.31 cent compressed octaves. Patent vals match through the 19-limit.
|-
|-
| | [[68edt]]
| | [[68edt]]
| | [[43edo]]
| | [[43edo]]
| | 68edt is 43edo with ~2.7 cent stretched octaves, but only consistent through the 6-integer-limit, with discrepancy for the 7th harmonic. Patent vals match through the 5-limit.
| | 68edt is 43edo with ~2.7 cent stretched octaves. Patent vals match through the 5-limit.
|-
|-
| | [[73edt]]
| | [[73edt]]
| | [[46edo]]
| | [[46edo]]
| | 73edt is 46edo with ~1.5 cent compressed octaves, and consistent through the 18-integer-limit. Patent vals match through the 17-limit.
| | 73edt is 46edo with ~1.5 cent compressed octaves. Patent vals match through the 17-limit.
|-
|-
| | [[76edt]]
| | [[76edt]]
Line 602: Line 602:
| | [[79edt]]
| | [[79edt]]
| | [[50edo]]
| | [[50edo]]
| | 79edt is 50edo with ~3.8 cent stretched octaves, and consistent through the 10-integer-limit. Patent vals match through the 7-limit.
| | 79edt is 50edo with ~3.8 cent stretched octaves. Patent vals match through the 7-limit.
|-
|-
| | [[81edt]]
| | [[81edt]]
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| | [[84edt]]
| | [[84edt]]
| | [[53edo]]
| | [[53edo]]
| | 84edt is 53edo with ~0.04 cent stretched octaves, and consistent through the 10-integer-limit. Patent vals match through the 61-limit.
| | 84edt is 53edo with ~0.04 cent stretched octaves. Patent vals match through the 61-limit.
|-
|-
| | [[87edt]]
| | [[87edt]]
| | [[55edo]]
| | [[55edo]]
| | 87edt is 55edo with ~2.4 cent stretched octaves, but only consistent through the 4-integer-limit, with discrepancy for the 5th harmonic. Patent vals match through the 11-limit, with the exception of 5.
| | 87edt is 55edo with ~2.4 cent stretched octaves. Patent vals match through the 11-limit, with the exception of 5.
|-
| | [[89edt]]
| | [[56edo]]
| | 89edt is 56edo with ~3.3 cent compressed octaves. Patent vals match through the 5-limit.
|-
|-
| | [[92edt]]
| | [[92edt]]
| | [[58edo]]
| | [[58edo]]
| | Same ~0.9 cent octave compression as 46edt~29edo. Patent vals match through the 17-limit.
| | Same ~0.94 cent octave compression as 46edt~29edo. Patent vals match through the 17-limit.
|-
|-
| | [[95edt]]
| | [[95edt]]
| | [[60edo]]
| | [[60edo]]
| | Same ~1.2 cent octave stretch as 19edt~12edo. Patent vals match through the 7-limit.
| | Same ~1.2 cent octave stretch as 19edt~12edo. Patent vals match through the 7-limit.
|-
| | [[100edt]]
| | [[63edo]]
| | 100edt is 63edo with ~1.8 cent compressed octaves. Patent vals match through the 23-limit.
|-
| | [[103edt]]
| | [[65edo]]
| | 103edt is 65edo with ~2.4 cent stretched octaves. Patent vals match through the 181-limit, with the exception of 13.
|}
|}


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