38edf: Difference between revisions

Xenllium (talk | contribs)
Created page with "'''Division of the just perfect fifth into 38 equal parts''' (38EDF) is related to 65 edo, but with the 3/2 rather than the 2/1 being just. The octave is abo..."
Tags: Mobile edit Mobile web edit
 
Fredg999 category edits (talk | contribs)
m Removing from Category:Edonoi using Cat-a-lot
 
(9 intermediate revisions by 4 users not shown)
Line 1: Line 1:
'''[[EDF|Division of the just perfect fifth]] into 38 equal parts''' (38EDF) is related to [[65edo|65 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 0.7125 cents stretched and the step size is about 18.4725 cents.
{{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]]


[[Category:Edf]]
== Harmonics ==
[[Category:Edonoi]]
{{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:right;" |18.4725
|-
| style="text-align:center;" |2
| style="text-align:right;" |36.945
|-
| style="text-align:center;" |3
| style="text-align:right;" |55.4175
|-
| style="text-align:center;" |4
| style="text-align:right;" |73.89
|-
| style="text-align:center;" |5
| style="text-align:right;" |92.3625
|-
| style="text-align:center;" |6
| style="text-align:right;" |110.835
|-
| style="text-align:center;" |7
| style="text-align:right;" |129.3075
|-
| style="text-align:center;" |8
| style="text-align:right;" |147.78
|-
| style="text-align:center;" |9
| style="text-align:right;" |166.2525
|-
| style="text-align:center;" |10
| style="text-align:right;" |184.725
|-
| style="text-align:center;" |11
| style="text-align:right;" |203.1975
|-
| style="text-align:center;" |12
| style="text-align:right;" |221.67
|-
| style="text-align:center;" |13
| style="text-align:right;" |240.1425
|-
| style="text-align:center;" |14
| style="text-align:right;" |258.615
|-
| style="text-align:center;" |15
| style="text-align:right;" |277.0875
|-
| style="text-align:center;" |16
| style="text-align:right;" |295.56
|-
| style="text-align:center;" |17
| style="text-align:right;" |314.0325
|-
| style="text-align:center;" |18
| style="text-align:right;" |332.505
|-
| style="text-align:center;" |19
| style="text-align:right;" |350.9775
|-
| style="text-align:center;" |20
| style="text-align:right;" |369.45
|-
| style="text-align:center;" |21
| style="text-align:right;" |387.9225
|-
| style="text-align:center;" |22
| style="text-align:right;" |406.395
|-
| style="text-align:center;" |23
| style="text-align:right;" |424.8675
|-
| style="text-align:center;" |24
| style="text-align:right;" |443.34
|-
| style="text-align:center;" |25
| style="text-align:right;" |461.8125
|-
| style="text-align:center;" |26
| style="text-align:right;" |480.285
|-
| style="text-align:center;" |27
| style="text-align:right;" |498.7575
|-
| style="text-align:center;" |28
| style="text-align:right;" |517.23
|-
| style="text-align:center;" |29
| style="text-align:right;" |535.7025
|-
| style="text-align:center;" |30
| style="text-align:right;" |553.175
|-
| style="text-align:center;" |31
| style="text-align:right;" |572.6475
|-
| style="text-align:center;" |32
| style="text-align:right;" |591.12
|-
| style="text-align:center;" |33
| style="text-align:right;" |609.5925
|-
| style="text-align:center;" |34
| style="text-align:right;" |628.065
|-
| style="text-align:center;" |35
| style="text-align:right;" |646.5375
|-
| style="text-align:center;" |36
| style="text-align:right;" |664.01
|-
| style="text-align:center;" |37
| style="text-align:right;" |683.4825
|-
| style="text-align:center;" |38
| style="text-align:right;" |701.955
|-
| style="text-align:center;" |39
| style="text-align:right;" |720.4275
|-
| style="text-align:center;" |40
| style="text-align:right;" |738.9
|-
| style="text-align:center;" |41
| style="text-align:right;" |757.3725
|-
| style="text-align:center;" |42
| style="text-align:right;" |775.845
|-
| style="text-align:center;" |43
| style="text-align:right;" |794.3175
|-
| style="text-align:center;" |44
| style="text-align:right;" |812.79
|-
| style="text-align:center;" |45
| style="text-align:right;" |831.2625
|-
| style="text-align:center;" |46
| style="text-align:right;" |849.735
|-
| style="text-align:center;" |47
| style="text-align:right;" |868.2075
|-
| style="text-align:center;" |48
| style="text-align:right;" |886.605
|-
| style="text-align:center;" |49
| style="text-align:right;" |905.1525
|-
| style="text-align:center;" |50
| style="text-align:right;" |923.625
|-
| style="text-align:center;" |51
| style="text-align:right;" |942.0975
|-
| style="text-align:center;" |52
| style="text-align:right;" |960.57
|-
| style="text-align:center;" |53
| style="text-align:right;" |979.0425
|-
| style="text-align:center;" |54
| style="text-align:right;" |997.515
|-
| style="text-align:center;" |55
| style="text-align:right;" |1015.9875
|-
| style="text-align:center;" |56
| style="text-align:right;" |1034.46
|-
| style="text-align:center;" |57
| style="text-align:right;" |1052.9235
|-
| style="text-align:center;" |58
| style="text-align:right;" |1071.405
|-
| style="text-align:center;" |59
| style="text-align:right;" |1089.8775
|-
| style="text-align:center;" |60
| style="text-align:right;" |1108.35
|-
| style="text-align:center;" |61
| style="text-align:right;" |1126.8225
|-
| style="text-align:center;" |62
| style="text-align:right;" |1145.295
|-
| style="text-align:center;" |63
| style="text-align:right;" |1163.7675
|-
| style="text-align:center;" |64
| style="text-align:right;" |1182.24
|-
| style="text-align:center;" |65
| style="text-align:right;" |1200.7125
|-
| style="text-align:center;" | 66
| style="text-align:right;" | 1219.185
|-
| style="text-align:center;" | 67
| style="text-align:right;" | 1237.6575
|-
| style="text-align:center;" | 68
| style="text-align:right;" | 1256.13
|-
| style="text-align:center;" | 69
| style="text-align:right;" | 1274.6025
|-
| style="text-align:center;" | 70
| style="text-align:right;" | 1293.075
|-
| style="text-align:center;" | 71
| style="text-align:right;" | 1311.5775
|-
| style="text-align:center;" | 72
| style="text-align:right;" | 1330.02
|-
| style="text-align:center;" | 73
| style="text-align:right;" | 1348.4925
|-
| style="text-align:center;" | 74
| style="text-align:right;" | 1366.965
|-
| style="text-align:center;" | 75
| style="text-align:right;" | 1385.4375
|-
| style="text-align:center;" | 76
| 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}}