39ed5: Difference between revisions
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'''[[Ed5|Division of the 5th harmonic]] into 39 equal parts''' ( | {{Infobox ET}} | ||
'''[[Ed5|Division of the 5th harmonic]] into 39 equal parts''' (39ED5) is a good [[hyperpyth]] tuning. The step size about 71.4439 cents. It is compared to every fifth step of [[84edo|84EDO]], but with the 5/1 rather than the 2/1 being just. | |||
{| class="wikitable" | == Intervals == | ||
{| class="wikitable mw-collapsible" | |||
|+ Intervals of 39ed5 | |||
|- | |- | ||
! | degree | ! | degree | ||
| Line 15: | Line 18: | ||
| | 1 | | | 1 | ||
| | 71.4439 | | | 71.4439 | ||
| | [[25/24]], 24/23 | | | [[25/24]], [[24/23]] | ||
| | | | | | ||
|- | |- | ||
| | 2 | | | 2 | ||
| | 142.8879 | | | 142.8879 | ||
| | 38/35, 25/23 | | | 38/35, [[25/23]] | ||
| | | | | | ||
|- | |- | ||
| | 3 | | | 3 | ||
| | 214.3318 | | | 214.3318 | ||
| | 26/23, 43/38, 60/53, [[17/15]] | | | [[26/23]], 43/38, 60/53, [[17/15]] | ||
| | | | | | ||
|- | |- | ||
| Line 70: | Line 73: | ||
| | 12 | | | 12 | ||
| | 857.3273 | | | 857.3273 | ||
| | 41/25, 23/14 | | | 41/25, [[23/14]] | ||
| | | | | | ||
|- | |- | ||
| Line 105: | Line 108: | ||
| | 19 | | | 19 | ||
| | 1357.4349 | | | 1357.4349 | ||
| | 35/16, 46/21, 125/57 | | | [[35/32|35/16]], [[23/21|46/21]], 125/57 | ||
| | -7.6 cents from 11/5 | | | -7.6 cents from 11/5 | ||
|- | |- | ||
| | 20 | | | 20 | ||
| | 1428.8788 | | | 1428.8788 | ||
| | 57/25, 105/46, 16/7 | | | 57/25, 105/46, [[16/7]] | ||
| | | | | | ||
|- | |- | ||
| Line 120: | Line 123: | ||
| | 22 | | | 22 | ||
| | 1571.7667 | | | 1571.7667 | ||
| | 52/21, 57/23, 62/25 | | | [[26/21|52/21]], 57/23, 62/25 | ||
| | | | | | ||
|- | |- | ||
| Line 195: | Line 198: | ||
| | 37 | | | 37 | ||
| | 2643.4258 | | | 2643.4258 | ||
| | 23/5 | | | [[23/20|23/5]] | ||
| | +1.5 cents from 23/5 | | | +1.5 cents from 23/5 | ||
|- | |- | ||
| Line 209: | Line 212: | ||
|} | |} | ||
[[Category: | == Harmonics == | ||
{{Harmonics in equal | |||
| steps = 39 | |||
| num = 5 | |||
| denom = 1 | |||
}} | |||
{{Harmonics in equal | |||
| steps = 39 | |||
| num = 5 | |||
| denom = 1 | |||
| start = 12 | |||
| collapsed = 1 | |||
}} | |||
[[Category:Hyperpyth]] | |||
{{todo|expand}} | |||