21edt: Difference between revisions

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m Removing from Category:Edt using Cat-a-lot
Remove duplicate harmonics section, but transfer the text with rewording up to Theory
 
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{{Infobox ET}}
{{Infobox ET}}
{{ED intro}}
{{ED intro}}
== Theory ==
The harmonics below are the best approximations but all within 20 cents: it has 5th (+20¢), 7th (−16¢), 10th (+2¢), 11th (+15¢), 13th (−3¢), 17th (−14¢), 23rd (+6¢), and 37th (−2¢) harmonics. For a lower division of the tritave, that is respectable starting material for chord building, somewhat out of tune, but recognizable.
{{Harmonics in equal
| steps = 21
| num = 3
| denom = 1
| intervals = integer
}}
{{Harmonics in equal
| steps = 21
| num = 3
| denom = 1
| start = 12
| collapsed = 1
| intervals = integer
}}


== Intervals ==
== Intervals ==
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21edt also contains a 4L5s MOS similar to [[BP|BP]], with a 4:1 ratio of large to small; quite exaggerated from the optimal 2:1. Although the 7/3 is a little off, the 4L+5s BP scale is pretty. However, one of the star scales in 21edt is the 3L+6s (ssLssLssL and modes thereof) which is very harmonically rich, the cornerstone of which is the approximate 9:13:19 chord (which is just the [[3edt|3edt]] essentially tempered chord).
21edt also contains a 4L5s MOS similar to [[BP|BP]], with a 4:1 ratio of large to small; quite exaggerated from the optimal 2:1. Although the 7/3 is a little off, the 4L+5s BP scale is pretty. However, one of the star scales in 21edt is the 3L+6s (ssLssLssL and modes thereof) which is very harmonically rich, the cornerstone of which is the approximate 9:13:19 chord (which is just the [[3edt|3edt]] essentially tempered chord).
== Harmonics==
Not the best approximations but all within 20 cents: it has 5th (+20¢), 7th (−16¢), 10th (+2¢), 11th (+15¢), 13th (−3¢), 17th (−14¢), 23rd (+6¢), and 37th (−2¢) harmonics. For a lower division of the tritave that's quite a constellation! The chord is a little out of tune but it works, you can really sink into it.
{{Harmonics in equal
| steps = 21
| num = 3
| denom = 1
| intervals = integer
}}
{{Harmonics in equal
| steps = 21
| num = 3
| denom = 1
| start = 12
| collapsed = 1
| intervals = integer
}}


[[Category:tritave]]
[[Category:tritave]]
{{todo|expand|improve synopsis}}
{{todo|expand|improve synopsis}}