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| Division of the 5th harmonic '''into 84 equal parts''' (84ed5) is related to [[36edo]] but the 5/1 rather than the 2/1 being just. The octave is compressed (about 5.8656 cents) and the step size is about 33.1704 cents.{{Infobox ET|84ed5}} | | {{Infobox ET}} |
| ==Intervals== | | |
| {| class="wikitable" | | Division of the 5th harmonic '''into 84 equal parts''' (84ed5) is related to [[36edo]] but the 5/1 rather than the 2/1 being just. The octave is compressed (about 5.8656 cents) and the step size is about 33.1704 cents. |
| |+ | | |
| |- | | == Intervals == |
| !degree!!cents value!!corresponding
| | {{Interval table}} |
| JI intervals
| | |
| !comments
| | == Harmonics == |
| |-
| | {{Harmonics in equal |
| |0||0.0000||exact 1/1
| | | steps = 84 |
| |
| | | num = 5 |
| |-
| | | denom = 1 |
| |1||33.1704||1990656/1953125 | | }} |
| |Valentine comma | | {{Harmonics in equal |
| |-
| | | steps = 84 |
| |2||66.3408||
| | | num = 5 |
| |
| | | denom = 1 |
| |-
| | | start = 12 |
| | 3 |3
| | | collapsed = 1 |
| |99.5112
| | }} |
| |256/243
| |
| |limma
| |
| |-
| |
| | 4 |4
| |
| |132.6816
| |
| |27/25
| |
| |large limma, BP small semitone, Zarlino semitone
| |
| |-
| |
| | 5 |5
| |
| |165.8520 | |
| |
| |
| |
| |
| |-
| |
| | 6 |6
| |
| |199.0224
| |
| |
| |
| |pseudo-9/8
| |
| |-
| |
| | 7 |7
| |
| |232.1928
| |
| |
| |
| |
| |
| |-
| |
| | 8 |8
| |
| |265.3632
| |
| |
| |
| |
| |
| |-
| |
| |9
| |
| |298.5336
| |
| |
| |
| |pseudo-32/27
| |
| |-
| |
| |10
| |
| |331.7040
| |
| |
| |
| |
| |
| |-
| |
| |11
| |
| |364.8744
| |
| |100/81
| |
| |grave major third
| |
| |-
| |
| |12 | |
| |398.0448 | |
| |
| |
| |pseudo-81/64
| |
| |-
| |
| |13
| |
| |431.2152
| |
| |
| |
| |
| |
| |-
| |
| |14
| |
| |464.3856
| |
| |
| |
| |
| |
| |-
| |
| |15
| |
| |497.5560
| |
| |
| |
| |pseudo-4/3
| |
| |-
| |
| |16
| |
| |530.7264
| |
| |
| |
| |
| |
| |-
| |
| |17
| |
| |563.8968
| |
| |
| |
| |
| |
| |-
| |
| |18
| |
| |597.0672
| |
| |
| |
| |
| |
| |-
| |
| |19
| |
| |630.2376
| |
| |
| |
| |
| |
| |-
| |
| |20
| |
| |663.4080
| |
| |
| |
| |
| |
| |-
| |
| |21
| |
| |696.5784
| |
| |
| |
| |pseudo-3/2
| |
| |-
| |
| |22
| |
| |729.7488
| |
| |
| |
| |
| |
| |-
| |
| |23
| |
| |762.9192
| |
| |
| |
| |
| |
| |-
| |
| |24
| |
| |796.0896
| |
| |
| |
| |pseudo-128/81
| |
| |-
| |
| |25
| |
| |829.2600
| |
| |
| |
| |
| |
| |-
| |
| |26
| |
| |862.4304
| |
| |400/243
| |
| |grave major sixth
| |
| |-
| |
| |27
| |
| |895.6008
| |
| |
| |
| |pseudo-27/16
| |
| |-
| |
| |28
| |
| |928.7712
| |
| |
| |
| |
| |
| |-
| |
| |29
| |
| |961.9416
| |
| |
| |
| |
| |
| |-
| |
| |30
| |
| |995.1120
| |
| |
| |
| |pseudo-16/9
| |
| |-
| |
| |31
| |
| |1028.2824
| |
| |
| |
| |
| |
| |-
| |
| |32
| |
| |1061.4528
| |
| |
| |
| |
| |
| |-
| |
| |33
| |
| |1094.6232
| |
| |
| |
| |
| |
| |-
| |
| |34
| |
| |1127.7936
| |
| |
| |
| |
| |
| |-
| |
| |35
| |
| |1160.9640
| |
| |
| |
| |
| |
| |-
| |
| |36
| |
| |1194.1344
| |
| |
| |
| |pseudo-2/1
| |
| |-
| |
| |37
| |
| |1227.3049
| |
| |128/63
| |
| |septimal comma, Archytas' comma plus one octave
| |
| |-
| |
| |38
| |
| |1260.4753
| |
| |524288/253125
| |
| |Passion comma plus one octave
| |
| |-
| |
| |39
| |
| |1293.6457
| |
| |
| |
| |
| |
| |-
| |
| |40
| |
| |1326.8161
| |
| |
| |
| |
| |
| |-
| |
| |41
| |
| |1359.9865
| |
| |
| |
| |
| |
| |-
| |
| |42
| |
| |1393.1569
| |
| |
| |
| |
| |
| |-
| |
| |43
| |
| |1426.3273
| |
| |729/320
| |
| |acute major second plus one octave
| |
| |-
| |
| |44
| |
| |1459.4977
| |
| |
| |
| |
| |
| |-
| |
| |45
| |
| |1492.6681
| |
| |
| |
| |
| |
| |-
| |
| |46
| |
| |1525.8385
| |
| |
| |
| |
| |
| |-
| |
| |47
| |
| |1559.0089
| |
| |
| |
| |
| |
| |-
| |
| |48
| |
| |1592.1793
| |
| |
| |
| |
| |
| |-
| |
| |49
| |
| |1625.3497
| |
| |
| |
| |
| |
| |-
| |
| |50
| |
| |1658.5201
| |
| |
| |
| |
| |
| |-
| |
| |51
| |
| |1691.6905
| |
| |
| |
| |
| |
| |-
| |
| |52
| |
| |1724.8609
| |
| |
| |
| |
| |
| |-
| |
| |53
| |
| |1758.0313
| |
| |
| |
| |
| |
| |-
| |
| |54
| |
| |1791.2017
| |
| |
| |
| |
| |
| |-
| |
| |55
| |
| |1824.3721
| |
| |
| |
| |
| |
| |-
| |
| |56
| |
| |1857.5425
| |
| |
| |
| |
| |
| |-
| |
| |57
| |
| |1890.7129
| |
| |
| |
| |
| |
| |-
| |
| |58
| |
| |1923.8833
| |
| |243/80
| |
| |acute fifth plus one octave
| |
| |-
| |
| |59
| |
| |1957.0537
| |
| |
| |
| |
| |
| |-
| |
| |60
| |
| |1990.2241
| |
| |
| |
| |
| |
| |-
| |
| |61
| |
| |2023.3945
| |
| |
| |
| |
| |
| |-
| |
| |62
| |
| |2056.5649
| |
| |
| |
| |
| |
| |-
| |
| |63
| |
| |2089.7353
| |
| |
| |
| |
| |
| |-
| |
| |64
| |
| |2122.9057
| |
| |
| |
| |
| |
| |-
| |
| |65
| |
| |2156.0761
| |
| |
| |
| |
| |
| |-
| |
| |66
| |
| |2189.2465
| |
| |
| |
| |
| |
| |-
| |
| |67
| |
| |2222.4169
| |
| |
| |
| |
| |
| |-
| |
| |68
| |
| |2255.5873
| |
| |
| |
| |
| |
| |-
| |
| |69
| |
| |2288.7577
| |
| |
| |
| |
| |
| |-
| |
| |70
| |
| |2321.9281
| |
| |
| |
| |
| |
| |-
| |
| |71
| |
| |2355.0985
| |
| |
| |
| |
| |
| |-
| |
| |72
| |
| |2388.2689
| |
| |
| |
| |
| |
| |-
| |
| |73
| |
| |2421.4393
| |
| |81/20
| |
| |syntonic comma, Didymus comma plus two octaves
| |
| |-
| |
| |74
| |
| |2454.6097
| |
| |
| |
| |
| |
| |-
| |
| |75
| |
| |2487.7801
| |
| |
| |
| |
| |
| |-
| |
| |76
| |
| |2520.9505
| |
| |
| |
| |
| |
| |-
| |
| |77
| |
| |2554.1209
| |
| |2187/500
| |
| |Gorgo limma plus two octaves
| |
| |-
| |
| |78
| |
| |2587.2913
| |
| |
| |
| |
| |
| |-
| |
| |79
| |
| |2620.4617
| |
| |
| |
| |
| |
| |-
| |
| |80
| |
| |2653.6321
| |
| |
| |
| |
| |
| |-
| |
| |81
| |
| |2686.8025
| |
| |
| |
| |
| |
| |-
| |
| |82
| |
| |2719.9729
| |
| |
| |
| |
| |
| |-
| |
| |83
| |
| |2753.1433
| |
| |
| |
| |
| |
| |-
| |
| |84
| |
| |2786.3137
| |
| |exact 5/1
| |
| |just major third plus two octaves
| |
| |}
| |
|
| |
|
| ==Music== | | ==Music== |
| | * [https://www.youtube.com/watch?v=rTTym6vAFhs Not From This World] by Francium |
|
| |
|
| * [https://www.youtube.com/watch?v=rTTym6vAFhs Not From This World] by Francium
| | {{todo|expand}} |