EDe: Difference between revisions

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Line 18: Line 18:
|1
|1
|173.12
|173.12
|e^(1/10)
|e<sup>1/10</sup>
|11/10
|11/10
|flat whole tone
|flat whole tone
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|2
|2
|346.25
|346.25
|e^(1/5)
|e<sup>1/5</sup>
|11/9
|11/9
|neutral third
|neutral third
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|3
|3
|519.37
|519.37
|e^(3/10)
|e<sup>3/10</sup>
|43/32
|43/32
|sharp fourth
|sharp fourth
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|4
|4
|692.49
|692.49
|e^(2/5)
|e<sup>2/5</sup>
|3/2
|3/2
|flat fifth
|flat fifth
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|5
|5
|865.62
|865.62
|e^(1/2)
|e<sup>1/2</sup>
|5/3
|5/3
|flat major sixth
|flat major sixth
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|6
|6
|1038.74
|1038.74
|e^(3/5)
|e<sup>3/5</sup>
|117/64
|117/64
|neutral seventh
|neutral seventh
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|7
|7
|1211.86
|1211.86
|e^(7/10)
|e<sup>7/10</sup>
|2/1
|2/1
|stretched octave
|stretched octave
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|8
|8
|1384.99
|1384.99
|e^(4/5)
|e<sup>4/5</sup>
|20/9
|20/9
|flat major ninth
|flat major ninth
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|9
|9
|1558.11
|1558.11
|e^(9/10)
|e<sup>9/10</sup>
|22/9
|22/9
|neutral tenth
|neutral tenth
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|10
|10
|1731.23
|1731.23
|e/1
|e
|43/16
|43/16
|natave
|natave
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== 17-EDN ==
== 17-EDN ==
17-EDN is very close to 12-EDO but with slightly sharp semitones (101.84 cents). This causes the octave to be far too sharp (1222 cents) and gives it a rather pleasant sharp fifth of 712 cents.
17-EDN is very close to 12-EDO but with slightly sharp semitones (101.84 cents). This causes the octave to be far too sharp (1222.05 cents; essentially double a Pythagorean large tritone) and gives it a rather pleasant sharp fifth of 712.86 cents.
 
== 24-EDN ==
24-EDN has third tones so far sharp of 17-EDO that it becomes a stretched 50-ED8 (50\24 is 2406.74 cents). However, 43\24 is essentially the 6th harmonic (1514.83+1586.965=3101.79 cents)..
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