38edf: Difference between revisions
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'''[[EDF|Division of the just perfect fifth]] into 38 equal parts''' (38EDF) is related to [[65edo | {{Infobox ET}} | ||
'''[[EDF|Division of the just perfect fifth]] into 38 equal parts''' (38EDF) is related to [[65edo]], but with the [[3/2]] rather than the [[2/1]] being [[just]]. The [[octave]] is [[Octave stretch|stretched]] by about 0.7125 [[cents]] and the step size is about 18.4725 cents. | |||
Lookalikes: [[65edo]], [[103edt]] | Lookalikes: [[65edo]], [[103edt]] | ||
{| class="wikitable" | |||
| | == Harmonics == | ||
{{Harmonics in equal|38|3|2|intervals=prime}} | |||
== Intervals == | |||
{| class="wikitable mw-collapsible" | |||
|+ Intervals of 38edf | |||
|- | |- | ||
! Step number | |||
! Cents value | |||
|- | |- | ||
| style="text-align:center;" |1 | | style="text-align:center;" |1 | ||
| Line 205: | Line 209: | ||
| style="text-align:right;" |1200.7125 | | style="text-align:right;" |1200.7125 | ||
|- | |- | ||
|66 | | style="text-align:center;" | 66 | ||
|1219.185 | | style="text-align:right;" | 1219.185 | ||
|- | |- | ||
|67 | | style="text-align:center;" | 67 | ||
|1237.6575 | | style="text-align:right;" | 1237.6575 | ||
|- | |- | ||
|68 | | style="text-align:center;" | 68 | ||
|1256.13 | | style="text-align:right;" | 1256.13 | ||
|- | |- | ||
|69 | | style="text-align:center;" | 69 | ||
|1274.6025 | | style="text-align:right;" | 1274.6025 | ||
|- | |- | ||
|70 | | style="text-align:center;" | 70 | ||
|1293.075 | | style="text-align:right;" | 1293.075 | ||
|- | |- | ||
|71 | | style="text-align:center;" | 71 | ||
|1311.5775 | | style="text-align:right;" | 1311.5775 | ||
|- | |- | ||
|72 | | style="text-align:center;" | 72 | ||
|1330.02 | | style="text-align:right;" | 1330.02 | ||
|- | |- | ||
|73 | | style="text-align:center;" | 73 | ||
|1348.4925 | | style="text-align:right;" | 1348.4925 | ||
|- | |- | ||
|74 | | style="text-align:center;" | 74 | ||
|1366.965 | | style="text-align:right;" | 1366.965 | ||
|- | |- | ||
|75 | | style="text-align:center;" | 75 | ||
|1385.4375 | | style="text-align:right;" | 1385.4375 | ||
|- | |- | ||
|76 | | style="text-align:center;" | 76 | ||
|1403.91 | | style="text-align:right;" | 1403.91 | ||
|} | |} | ||
[[ | |||
{{todo|inline=1|complete table|text=Add a third column that comments on the intervals, either what [[JI]] they approximate, what they are named, or how they can be used musically.}} | |||
{{todo|expand}} | |||