143edo: Difference between revisions
Adopt template: EDO intro; +prime error table; -redundant categories; misc. cleanup |
m Sectioning following similar pages and misc. improvements |
||
| (5 intermediate revisions by 4 users not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | |||
143edo is only [[consistent]] to the [[5-odd-limit]], and the error of the [[harmonic]] [[3/1|3]] is quite large. With the patent sharp fifth and flat 7, it supports a sharp form of [[slendric]] and [[hemithirds]] through to the [[13-limit]], while the 143b val provides a tuning almost identical with that of the [[POTE tuning]] for 7-limit [[meantone]]. | |||
=== Odd harmonics === | === Odd harmonics === | ||
| Line 8: | Line 9: | ||
=== Subsets and supersets === | === Subsets and supersets === | ||
As 143 is 11 × 13, 143edo allows the [[polymicrotonality|polymicrotonal juxtaposition]] of [[11edo]] and [[13edo]]: | As 143 is {{nowrap| 11 × 13 }}, 143edo allows the [[polymicrotonality|polymicrotonal juxtaposition]] of [[11edo]] and [[13edo]]: | ||
[[File:13_against_11.gif|alt=13_against_11.gif|800x312px|13_against_11.gif]] | [[File:13_against_11.gif|alt=13_against_11.gif|800x312px|13_against_11.gif]] | ||
If the 11edo and 13edo subsets are analyzed as two scales that share the [[tonic]] and are then combined (as in the diagram above), the resulting scale would have 23 tones in the octave; otherwise, it would have 24. | If the 11edo and 13edo subsets are analyzed as two scales that share the [[tonic]] and are then combined (as in the diagram above), the resulting scale would have 23 tones in the octave; otherwise, it would have 24. | ||
== Intervals == | |||
{{Interval table}} | |||