Xenharmonic Wiki

EDT: Difference between revisions

← Older editNewer edit →
VisualWikitext
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
5,030 edits
Tags: Mobile edit Mobile web edit
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
5,030 edits
Tags: Mobile edit Mobile web edit
Line 409: Line 409:
| | [[8edt]]
| | [[8edt]]
| | [[5edo]]
| | [[5edo]]
| | 8edt is equivalent to 5edo with ~11 cent octave compression.
| | 8edt is equivalent to 5edo with ~11 cent octave compression. Equivalently, 5edo is 8edt with ~18 cent stretched tritaves. [[Patent_val|Patent vals]] match through the 13-limit.
Equivalently, 5edo is 8edt with ~18 cent stretched tritaves.
[[Patent_val|Patent vals]] match through the 13 limit.
|-
|-
| | [[9edt]]
| | [[9edt]]
Line 423: Line 421:
| | [[11edt]]
| | [[11edt]]
| | [[7edo]]
| | [[7edo]]
| | 11edt is equivalent to 7edo with ~10 cent stretched octaves.
| | 11edt is equivalent to 7edo with ~10 cent stretched octaves. Patent vals differ in the 7-limit, but neither can really be said to represent the 7th harmonic with a straight face.
Patent vals differ in the 7 limit, but neither can really be said
to represent the 7th harmonic with a straight face.
|-
|-
| | [[12edt]]
| | [[12edt]]
Line 437: Line 433:
| | [[14edt]]
| | [[14edt]]
| | [[9edo]]
| | [[9edo]]
| | There is a lot of mismatch between the pure-octave and pure-tritave tunings,
| | There is a lot of mismatch between the pure-octave and pure-tritave tunings, but the patent vals match through the 13-limit. Great for stretched-octave pelog!
but the patent vals match through the 13 limit. Great for stretched-octave pelog!
|-
|-
| | [[15edt]]
| | [[15edt]]
Line 446: Line 441:
| | [[16edt]]
| | [[16edt]]
| | [[10edo]]
| | [[10edo]]
| | Similar situation to 5edo~8edt. Patent vals match through the 17 limit.
| | Similar situation to 8edt~5edo. Patent vals match through the 17-limit.
|-
|-
| | [[17edt]]
| | [[17edt]]
Line 458: Line 453:
| | [[19edt]]
| | [[19edt]]
| | [[12edo]]
| | [[12edo]]
| | 19edt is 12edo with ~1.2 cent octave stretch, and consistent through the 10-integer-limit.
| | 19edt is 12edo with ~1.2 cent octave stretch, and consistent through the 10-integer-limit. Patent vals match through the 7-limit.
|-
|-
| | [[20edt]]
| | [[20edt]]
Line 482: Line 477:
| | [[25edt]]
| | [[25edt]]
| | [[16edo]]
| | [[16edo]]
| | Also only a rough correspondence; 25edt corresponds to 16edo with ~17 cent octave stretch, and consistent through the 6-integer-limit.
| | Also only a rough correspondence; 25edt corresponds to 16edo with ~17 cent octave stretch, and patent vals match through the 6-limit. 25edt is only consistent through the 6-integer-limit, with discrepancy for the 11th harmonic.
|-
|-
| | [[26edt]]
| | [[26edt]]
Line 502: Line 497:
| | [[30edt]]
| | [[30edt]]
| | [[19edo]]
| | [[19edo]]
| | 30edt is 19edo with ~5 cent stretched octaves, and consistent through the 10-integer-limit.
| | 30edt is 19edo with ~5 cent stretched octaves, and consistent through the 10-integer-limit. Patent vals match through the 7-limit.
|-
|-
| | [[31edt]]
| | [[31edt]]
Line 522: Line 517:
| | [[35edt]]
| | [[35edt]]
| | [[22edo]]
| | [[22edo]]
| | 35edt is 22edo with ~4 cent compressed octaves, and consistent through the 12-integer-limit.
| | 35edt is 22edo with ~4 cent compressed octaves, and consistent through the 12-integer-limit. Patent vals match through the 11-limit.
|-
|-
| | [[36edt]]
| | [[36edt]]
Line 534: Line 529:
| | [[38edt]]
| | [[38edt]]
| | [[24edo]]
| | [[24edo]]
| | Same ~1.2 cent octave stretch as 12edo~19edt. 38edt is consistent through the 6-integer-limit.
| | Same ~1.2 cent octave stretch as 12edo~19edt. 38edt is consistent through the 6-integer-limit. Patent vals match through the 19-limit.
Patent vals match through the 19-limit.
|-
|-
| | [[39edt]]
| | [[39edt]]
Line 547: Line 541:
| | [[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.
| | 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.
|-
|-
| | [[42edt]]
| | [[42edt]]
Line 555: Line 549:
| | [[43edt]]
| | [[43edt]]
| | [[27edo]]
| | [[27edo]]
| | 43edt is 27edo with ~6 cent compressed octaves, and consistent through the 10-integer-limit.
| | 43edt is 27edo with ~6 cent compressed octaves, and consistent through the 10-integer-limit. Patent vals match through the 7-limit.
|-
|-
| | [[44edt]]
| | [[44edt]]
Line 567: Line 561:
| | [[46edt]]
| | [[46edt]]
| | [[29edo]]
| | [[29edo]]
| | 46edt is 29edo with ~0.9 cent compressed octaves, and consistent through the 16-integer-limit.
| | 46edt is 29edo with ~0.9 cent compressed octaves, and consistent through the 16-integer-limit. Patent vals match through the 89-limit.
Patent vals match through the 89-limit.
|-
|-
| | [[47edt]]
| | [[47edt]]
Line 580: Line 573:
| | [[49edt]]
| | [[49edt]]
| | [[31edo]]
| | [[31edo]]
| | 49edt is 31edo with ~3.3 cent stretched octaves, and consistent through the 12-integer-limit.
| | 49edt is 31edo with ~3.3 cent stretched octaves, and consistent through the 12-integer-limit. Patent vals match through the 11-limit.
|-
|-
| | [[54edt]]
| | [[54edt]]
| | [[34edo]]
| | [[34edo]]
| | Same ~2.5 cent octave compression as 17edo~27edt. 54edt is consistent through the 7-integer-limit.
| | Same ~2.5 cent octave compression as 17edo~27edt. 54edt is consistent through the 7-integer-limit. Patent vals match through the 17-limit, with the exception of 7.
|-
|-
| | [[57edt]]
| | [[57edt]]
| | [[36edo]]
| | [[36edo]]
| | Same ~1.2 cent octave stretch as 12edo~19edt. 57edt is consistent through the 9-integer-limit.
| | Same ~1.2 cent octave stretch as 12edo~19edt. 57edt is consistent through the 9-integer-limit. Patent vals match through the 31-limit, with the exception of 11.
|-
|-
| | [[65edt]]
| | [[65edt]]
| | [[41edo]]
| | [[41edo]]
| | 65edt is 41edo with ~0.3 cent compressed octaves, and consistent through the 16-integer-limit.
| | 65edt is 41edo with ~0.3 cent compressed octaves, and consistent through the 16-integer-limit. Patent vals match through the 19-limit.
|-
|-
| | [[68edt]]
| | [[68edt]]
| | [[43edo]]
| | [[43edo]]
| | 68edt is 43edo with ~2.7 cent stretched octaves, and consistent through the 6-integer-limit.
| | 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.
|-
|-
| | [[73edt]]
| | [[73edt]]
| | [[46edo]]
| | [[46edo]]
| | 73edt is 46edo with ~1.5 cent compressed octaves, and consistent through the 18-integer-limit.
| | 73edt is 46edo with ~1.5 cent compressed octaves, and consistent through the 18-integer-limit. Patent vals match through the 17-limit.
|-
|-
| | [[76edt]]
| | [[76edt]]
| | [[48edo]]
| | [[48edo]]
| | Same ~1.2 cent octave stretch as 12edo~19edt. 76edt is consistent through the 6-integer-limit.
| | Same ~1.2 cent octave stretch as 12edo~19edt. 76edt is consistent through the 6-integer-limit. Patent vals match through the 11-limit.
|-
|-
| | [[79edt]]
| | [[79edt]]
| | [[50edo]]
| | [[50edo]]
| | 79edt is 50edo with ~3.8 cent stretched octaves, and consistent through the 10-integer-limit.
| | 79edt is 50edo with ~3.8 cent stretched octaves, and consistent through the 10-integer-limit. Patent vals match through the 7-limit.
|-
|-
| | [[84edt]]
| | [[84edt]]
| | [[53edo]]
| | [[53edo]]
| | 84edt is 53edo with ~0.04 cent stretched octaves, and consistent through the 10-integer-limit.
| | 84edt is 53edo with ~0.04 cent stretched octaves, and consistent through the 10-integer-limit. Patent vals match through the 61-limit.
|}
|}


Retrieved from "https://en.xen.wiki/w/EDT"