47edo: Difference between revisions

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m Fixed non-standard title and bolded "47-EDO".
Line 25: Line 25:
! | Degree
! | Degree
! | Size (Cents)
! | Size (Cents)
!pions
!7mus
! colspan="2" | relative notation
! colspan="2" | relative notation
! | absolute notation
! | absolute notation
|-
|-
| style="text-align:center;" | 0
| style="text-align:center;" | 0
| style="text-align:right;" | 0.0000
| colspan="3" style="text-align:right;" | 0.0000
| style="text-align:center;" | perfect unison
| style="text-align:center;" | perfect unison
| style="text-align:center;" | P1
| style="text-align:center;" | P1
Line 36: Line 38:
| style="text-align:center;" | 1
| style="text-align:center;" | 1
| style="text-align:right;" | 25.5319
| style="text-align:right;" | 25.5319
|27.0638
|32.68085 (20.AE4C<sub>16</sub>)
| style="text-align:center;" | aug 1sn
| style="text-align:center;" | aug 1sn
| style="text-align:center;" | A1
| style="text-align:center;" | A1
Line 42: Line 46:
| style="text-align:center;" | 2
| style="text-align:center;" | 2
| style="text-align:right;" | 51.0638
| style="text-align:right;" | 51.0638
|54.1277
|65.3617 (41.5C988<sub>16</sub>)
| style="text-align:center;" | double-aug 1sn
| style="text-align:center;" | double-aug 1sn
| style="text-align:center;" | AA1
| style="text-align:center;" | AA1
Line 48: Line 54:
| style="text-align:center;" | 3
| style="text-align:center;" | 3
| style="text-align:right;" | 76.5957
| style="text-align:right;" | 76.5957
|81.1915
|98.04255 (62.0AE5<sub>16</sub>)
| style="text-align:center;" | triple-aug 1sn, triple-dim 2nd
| style="text-align:center;" | triple-aug 1sn, triple-dim 2nd
| style="text-align:center;" | A<span style="font-size: 90%; vertical-align: super;">3</span>1, d<span style="font-size: 90%; vertical-align: super;">3</span>2
| style="text-align:center;" | A<span style="font-size: 90%; vertical-align: super;">3</span>1, d<span style="font-size: 90%; vertical-align: super;">3</span>2
Line 54: Line 62:
| style="text-align:center;" | 4
| style="text-align:center;" | 4
| style="text-align:right;" | 102.1277
| style="text-align:right;" | 102.1277
|108.2553
|130.7234 (82.B931<sub>16</sub>)
| style="text-align:center;" | double-dim 2nd
| style="text-align:center;" | double-dim 2nd
| style="text-align:center;" | dd2
| style="text-align:center;" | dd2
Line 60: Line 70:
| style="text-align:center;" | 5
| style="text-align:center;" | 5
| style="text-align:right;" | 127.6596
| style="text-align:right;" | 127.6596
|135.31915
|163.4043 (A3.677D<sub>16</sub>)
| style="text-align:center;" | dim 2nd
| style="text-align:center;" | dim 2nd
| style="text-align:center;" | d2
| style="text-align:center;" | d2
Line 66: Line 78:
| style="text-align:center;" | 6
| style="text-align:center;" | 6
| style="text-align:right;" | 153.1915
| style="text-align:right;" | 153.1915
|162.383
|196.0851 (C4.15CA<sub>16</sub>)
| style="text-align:center;" | minor 2nd
| style="text-align:center;" | minor 2nd
| style="text-align:center;" | m2
| style="text-align:center;" | m2
Line 72: Line 86:
| style="text-align:center;" | 7
| style="text-align:center;" | 7
| style="text-align:right;" | 178.7234
| style="text-align:right;" | 178.7234
|189.4468
|228.766 (E4.C416<sub>16</sub>)    261.4468 (105.7262<sub>16</sub>)    294.1277 (126.20AE<sub>16</sub>)    326.8085 (146.CEFB<sub>16</sub>)    359.4894 (167.7D47<sub>16</sub>)    392.1702  (188.2B93<sub>16</sub>)    424.8511 (1A8.D9DF<sub>16</sub>)    457.5319 (1C9.882C<sub>16</sub>)    490.2128 (1EA.3678<sub>16</sub>)    522.8936 (20A.E4C4<sub>16</sub>)    555.5745 (22B.931<sub>16</sub>)    588.2553 (24C.415D<sub>16</sub>)    620.9362  (26C.EFA9<sub>16</sub>)    653.617 (28D.9DF5<sub>16</sub>)    686.2979 (2AE.4C41<sub>16</sub>)    718.9787 (2CE.FA8E<sub>16</sub>)    751.6595 (2EF.A8DA<sub>16</sub>)    784.3404 (310.5726<sub>16</sub>)    817.0213 (331.0572<sub>16</sub>)    849.7021 (351.B3BF<sub>16</sub>)    882.383 (372.620B<sub>16</sub>)    915.0638 (393.1057<sub>16</sub>)    947.7447 (3B3.BEA3<sub>16</sub>)    980.4255 (3D4.6CF<sub>16</sub>)    1013.1064 (3F5.1B3C<sub>16</sub>)    1045.7872 (415.C988<sub>16</sub>)    1078.4681 (436.77D4<sub>16</sub>)    1111.1489 (457.2621<sub>16</sub>)    1143.8298 (477.D46D<sub>16</sub>)    1176.5106 (498.82B9<sub>16</sub>)    1209.1915 (4B9.3105<sub>16</sub>)    1241.8723 (4D9.DF52<sub>16</sub>)    1274.5532 (4FA.8D9E<sub>16</sub>)    1307.234 (51B.3BEA<sub>16</sub>)    1339.9149 (53B.EA36<sub>16</sub>)    1372.5957 (55C.9883<sub>16</sub>)    1405.2766 (57D.46CF<sub>16</sub>)    1437.95745 (59D.F51B<sub>16</sub>)    1470.6383 (5BE.A3678<sub>16</sub>)    1503.31915 (5DF.51B4<sub>16</sub>)
| style="text-align:center;" | major 2nd
| style="text-align:center;" | major 2nd
| style="text-align:center;" | M2
| style="text-align:center;" | M2
Line 78: Line 94:
| style="text-align:center;" | 8
| style="text-align:center;" | 8
| style="text-align:right;" | 204.2553
| style="text-align:right;" | 204.2553
|216.5106
|
| style="text-align:center;" | aug 2nd
| style="text-align:center;" | aug 2nd
| style="text-align:center;" | A2
| style="text-align:center;" | A2
Line 84: Line 102:
| style="text-align:center;" | 9
| style="text-align:center;" | 9
| style="text-align:right;" | 229.7872
| style="text-align:right;" | 229.7872
|243.5745
|
| style="text-align:center;" | double-aug 2nd
| style="text-align:center;" | double-aug 2nd
| style="text-align:center;" | AA2
| style="text-align:center;" | AA2
Line 89: Line 109:
|-
|-
| style="text-align:center;" | 10
| style="text-align:center;" | 10
| style="text-align:right;" | 255.3191
| style="text-align:right;" | 255.31915
|270.6383
|
| style="text-align:center;" | triple-aug 2nd, triple-dim 3rd
| style="text-align:center;" | triple-aug 2nd, triple-dim 3rd
| style="text-align:center;" | A<span style="font-size: 90%; vertical-align: super;">3</span>2, d<span style="font-size: 90%; vertical-align: super;">3</span>3
| style="text-align:center;" | A<span style="font-size: 90%; vertical-align: super;">3</span>2, d<span style="font-size: 90%; vertical-align: super;">3</span>3
Line 96: Line 118:
| style="text-align:center;" | 11
| style="text-align:center;" | 11
| style="text-align:right;" | 280.8511
| style="text-align:right;" | 280.8511
|297.7021
|
| style="text-align:center;" | double-dim 3rd
| style="text-align:center;" | double-dim 3rd
| style="text-align:center;" | dd3
| style="text-align:center;" | dd3
Line 101: Line 125:
|-
|-
| style="text-align:center;" | 12
| style="text-align:center;" | 12
| style="text-align:right;" | 306.3830
| style="text-align:right;" | 306.383
|324.766
|
| style="text-align:center;" | dim 3rd
| style="text-align:center;" | dim 3rd
| style="text-align:center;" | d3
| style="text-align:center;" | d3
Line 108: Line 134:
| style="text-align:center;" | 13
| style="text-align:center;" | 13
| style="text-align:right;" | 331.9149
| style="text-align:right;" | 331.9149
|351.8298
|
| style="text-align:center;" | minor 3rd
| style="text-align:center;" | minor 3rd
| style="text-align:center;" | m3
| style="text-align:center;" | m3
Line 114: Line 142:
| style="text-align:center;" | 14
| style="text-align:center;" | 14
| style="text-align:right;" | 357.4468
| style="text-align:right;" | 357.4468
|378.8936
|
| style="text-align:center;" | major 3rd
| style="text-align:center;" | major 3rd
| style="text-align:center;" | M3
| style="text-align:center;" | M3
Line 120: Line 150:
| style="text-align:center;" | 15
| style="text-align:center;" | 15
| style="text-align:right;" | 382.9787
| style="text-align:right;" | 382.9787
|405.95745
|
| style="text-align:center;" | aug 3rd
| style="text-align:center;" | aug 3rd
| style="text-align:center;" | A3
| style="text-align:center;" | A3
Line 126: Line 158:
| style="text-align:center;" | 16
| style="text-align:center;" | 16
| style="text-align:right;" | 408.5106
| style="text-align:right;" | 408.5106
|433.0213
|
| style="text-align:center;" | double-aug 3rd
| style="text-align:center;" | double-aug 3rd
| style="text-align:center;" | AA3
| style="text-align:center;" | AA3
Line 131: Line 165:
|-
|-
| style="text-align:center;" | 17
| style="text-align:center;" | 17
| style="text-align:right;" | 434.0426
| style="text-align:right;" | 434.04255
|460.0851
|
| style="text-align:center;" | triple-aug 3rd, triple-dim 4th
| style="text-align:center;" | triple-aug 3rd, triple-dim 4th
| style="text-align:center;" | A<span style="font-size: 90%; vertical-align: super;">3</span>3, d<span style="font-size: 90%; vertical-align: super;">3</span>4
| style="text-align:center;" | A<span style="font-size: 90%; vertical-align: super;">3</span>3, d<span style="font-size: 90%; vertical-align: super;">3</span>4
Line 138: Line 174:
| style="text-align:center;" | 18
| style="text-align:center;" | 18
| style="text-align:right;" | 459.5745
| style="text-align:right;" | 459.5745
|487.1489
|
| style="text-align:center;" | double-dim 4th
| style="text-align:center;" | double-dim 4th
| style="text-align:center;" | dd4
| style="text-align:center;" | dd4
Line 144: Line 182:
| style="text-align:center;" | 19
| style="text-align:center;" | 19
| style="text-align:right;" | 485.1064
| style="text-align:right;" | 485.1064
|514.2128
|
| style="text-align:center;" | dim 4th
| style="text-align:center;" | dim 4th
| style="text-align:center;" | d4
| style="text-align:center;" | d4
Line 150: Line 190:
| style="text-align:center;" | 20
| style="text-align:center;" | 20
| style="text-align:right;" | 510.6383
| style="text-align:right;" | 510.6383
|541.2766
|
| style="text-align:center;" | perfect 4th
| style="text-align:center;" | perfect 4th
| style="text-align:center;" | P4
| style="text-align:center;" | P4
Line 156: Line 198:
| style="text-align:center;" | 21
| style="text-align:center;" | 21
| style="text-align:right;" | 536.1702
| style="text-align:right;" | 536.1702
|568.3404
|
| style="text-align:center;" | aug 4th
| style="text-align:center;" | aug 4th
| style="text-align:center;" | A4
| style="text-align:center;" | A4
Line 162: Line 206:
| style="text-align:center;" | 22
| style="text-align:center;" | 22
| style="text-align:right;" | 561.7021
| style="text-align:right;" | 561.7021
|595.4043
|
| style="text-align:center;" | double-aug 4th
| style="text-align:center;" | double-aug 4th
| style="text-align:center;" | AA4
| style="text-align:center;" | AA4
Line 168: Line 214:
| style="text-align:center;" | 23
| style="text-align:center;" | 23
| style="text-align:right;" | 587.2340
| style="text-align:right;" | 587.2340
|622.4681
|
| style="text-align:center;" | triple-aug 4th
| style="text-align:center;" | triple-aug 4th
| style="text-align:center;" | A<span style="font-size: 90%; vertical-align: super;">3</span>4
| style="text-align:center;" | A<span style="font-size: 90%; vertical-align: super;">3</span>4
Line 174: Line 222:
| style="text-align:center;" | 24
| style="text-align:center;" | 24
| style="text-align:right;" | 612.7660
| style="text-align:right;" | 612.7660
|649.5319
|
| style="text-align:center;" | triple-dim 5th
| style="text-align:center;" | triple-dim 5th
| style="text-align:center;" | d<span style="font-size: 90%; vertical-align: super;">3</span>5
| style="text-align:center;" | d<span style="font-size: 90%; vertical-align: super;">3</span>5
Line 180: Line 230:
| style="text-align:center;" | 25
| style="text-align:center;" | 25
| style="text-align:right;" | 638.2979
| style="text-align:right;" | 638.2979
|676.5957
|
| style="text-align:center;" | double-dim 5th
| style="text-align:center;" | double-dim 5th
| style="text-align:center;" | dd5
| style="text-align:center;" | dd5
Line 186: Line 238:
| style="text-align:center;" | 26
| style="text-align:center;" | 26
| style="text-align:right;" | 663.8298
| style="text-align:right;" | 663.8298
|703.6596
|
| style="text-align:center;" | dim 5th
| style="text-align:center;" | dim 5th
| style="text-align:center;" | d5
| style="text-align:center;" | d5
Line 192: Line 246:
| style="text-align:center;" | 27
| style="text-align:center;" | 27
| style="text-align:right;" | 689.3617
| style="text-align:right;" | 689.3617
|730.7234
|
| style="text-align:center;" | perfect 5th
| style="text-align:center;" | perfect 5th
| style="text-align:center;" | P5
| style="text-align:center;" | P5
Line 198: Line 254:
| style="text-align:center;" | 28
| style="text-align:center;" | 28
| style="text-align:right;" | 714.8936
| style="text-align:right;" | 714.8936
|757.7872
|
| style="text-align:center;" | aug 5th
| style="text-align:center;" | aug 5th
| style="text-align:center;" | A5
| style="text-align:center;" | A5
Line 204: Line 262:
| style="text-align:center;" | 29
| style="text-align:center;" | 29
| style="text-align:right;" | 740.4255
| style="text-align:right;" | 740.4255
|784.8511
|
| style="text-align:center;" | double-aug 5th
| style="text-align:center;" | double-aug 5th
| style="text-align:center;" | AA5
| style="text-align:center;" | AA5
Line 209: Line 269:
|-
|-
| style="text-align:center;" | 30
| style="text-align:center;" | 30
| style="text-align:right;" | 765.9574
| style="text-align:right;" | 765.95745
|811.9149
|
| style="text-align:center;" | triple-aug 5th, triple-dim 6th
| style="text-align:center;" | triple-aug 5th, triple-dim 6th
| style="text-align:center;" | A<span style="font-size: 90%; vertical-align: super;">3</span>5, d<span style="font-size: 90%; vertical-align: super;">3</span>6
| style="text-align:center;" | A<span style="font-size: 90%; vertical-align: super;">3</span>5, d<span style="font-size: 90%; vertical-align: super;">3</span>6
Line 216: Line 278:
| style="text-align:center;" | 31
| style="text-align:center;" | 31
| style="text-align:right;" | 791.4894
| style="text-align:right;" | 791.4894
|838.9787
|
| style="text-align:center;" | double-dim 6th
| style="text-align:center;" | double-dim 6th
| style="text-align:center;" | dd6
| style="text-align:center;" | dd6
Line 222: Line 286:
| style="text-align:center;" | 32
| style="text-align:center;" | 32
| style="text-align:right;" | 817.0213
| style="text-align:right;" | 817.0213
|866.04255
|
| style="text-align:center;" | dim 6th
| style="text-align:center;" | dim 6th
| style="text-align:center;" | d6
| style="text-align:center;" | d6
Line 228: Line 294:
| style="text-align:center;" | 33
| style="text-align:center;" | 33
| style="text-align:right;" | 842.5532
| style="text-align:right;" | 842.5532
|893.1064
|
| style="text-align:center;" | minor 6th
| style="text-align:center;" | minor 6th
| style="text-align:center;" | m6
| style="text-align:center;" | m6
Line 234: Line 302:
| style="text-align:center;" | 34
| style="text-align:center;" | 34
| style="text-align:right;" | 868.0851
| style="text-align:right;" | 868.0851
|920.1702
|
| style="text-align:center;" | major 6th
| style="text-align:center;" | major 6th
| style="text-align:center;" | M6
| style="text-align:center;" | M6
Line 239: Line 309:
|-
|-
| style="text-align:center;" | 35
| style="text-align:center;" | 35
| style="text-align:right;" | 893.6170
| style="text-align:right;" | 893.617
|947.234
|
| style="text-align:center;" | aug 6th
| style="text-align:center;" | aug 6th
| style="text-align:center;" | A6
| style="text-align:center;" | A6
Line 246: Line 318:
| style="text-align:center;" | 36
| style="text-align:center;" | 36
| style="text-align:right;" | 919.1489
| style="text-align:right;" | 919.1489
|974.2979
|
| style="text-align:center;" | double-aug 6th
| style="text-align:center;" | double-aug 6th
| style="text-align:center;" | AA6
| style="text-align:center;" | AA6
Line 251: Line 325:
|-
|-
| style="text-align:center;" | 37
| style="text-align:center;" | 37
| style="text-align:right;" | 944.6809
| style="text-align:right;" | 944.68085
|1001.3617
|
| style="text-align:center;" | triple-aug 6th, triple-dim 7th
| style="text-align:center;" | triple-aug 6th, triple-dim 7th
| style="text-align:center;" | A<span style="font-size: 90%; vertical-align: super;">3</span>6, d<span style="font-size: 90%; vertical-align: super;">3</span>7
| style="text-align:center;" | A<span style="font-size: 90%; vertical-align: super;">3</span>6, d<span style="font-size: 90%; vertical-align: super;">3</span>7
Line 258: Line 334:
| style="text-align:center;" | 38
| style="text-align:center;" | 38
| style="text-align:right;" | 970.2128
| style="text-align:right;" | 970.2128
|1028.4255
|
| style="text-align:center;" | double-dim 7th
| style="text-align:center;" | double-dim 7th
| style="text-align:center;" | dd7
| style="text-align:center;" | dd7
Line 264: Line 342:
| style="text-align:center;" | 39
| style="text-align:center;" | 39
| style="text-align:right;" | 995.7447
| style="text-align:right;" | 995.7447
|1055.4894
|
| style="text-align:center;" | dim 7th
| style="text-align:center;" | dim 7th
| style="text-align:center;" | d7
| style="text-align:center;" | d7
Line 270: Line 350:
| style="text-align:center;" | 40
| style="text-align:center;" | 40
| style="text-align:right;" | 1021.2766
| style="text-align:right;" | 1021.2766
|1082.5532
|
| style="text-align:center;" | minor 7th
| style="text-align:center;" | minor 7th
| style="text-align:center;" | m7
| style="text-align:center;" | m7
Line 276: Line 358:
| style="text-align:center;" | 41
| style="text-align:center;" | 41
| style="text-align:right;" | 1046.8085
| style="text-align:right;" | 1046.8085
|1109.617
|
| style="text-align:center;" | major 7th
| style="text-align:center;" | major 7th
| style="text-align:center;" | M7
| style="text-align:center;" | M7
Line 282: Line 366:
| style="text-align:center;" | 42
| style="text-align:center;" | 42
| style="text-align:right;" | 1072.3404
| style="text-align:right;" | 1072.3404
|1136.68085
|
| style="text-align:center;" | aug 7th
| style="text-align:center;" | aug 7th
| style="text-align:center;" | A7
| style="text-align:center;" | A7
Line 288: Line 374:
| style="text-align:center;" | 43
| style="text-align:center;" | 43
| style="text-align:right;" | 1097.8723
| style="text-align:right;" | 1097.8723
|1163.7447
|
| style="text-align:center;" | double-aug 7th
| style="text-align:center;" | double-aug 7th
| style="text-align:center;" | AA7
| style="text-align:center;" | AA7
Line 294: Line 382:
| style="text-align:center;" | 44
| style="text-align:center;" | 44
| style="text-align:right;" | 1123.4043
| style="text-align:right;" | 1123.4043
|1190.8085
|
| style="text-align:center;" | triple-aug 7th, triple-dim 8ve
| style="text-align:center;" | triple-aug 7th, triple-dim 8ve
| style="text-align:center;" | A<span style="font-size: 90%; vertical-align: super;">3</span>7, d<span style="font-size: 90%; vertical-align: super;">3</span>8
| style="text-align:center;" | A<span style="font-size: 90%; vertical-align: super;">3</span>7, d<span style="font-size: 90%; vertical-align: super;">3</span>8
Line 300: Line 390:
| style="text-align:center;" | 45
| style="text-align:center;" | 45
| style="text-align:right;" | 1148.9362
| style="text-align:right;" | 1148.9362
|1217.8723
|
| style="text-align:center;" | double-dim 8ve
| style="text-align:center;" | double-dim 8ve
| style="text-align:center;" | dd8
| style="text-align:center;" | dd8
Line 306: Line 398:
| style="text-align:center;" | 46
| style="text-align:center;" | 46
| style="text-align:right;" | 1174.4681
| style="text-align:right;" | 1174.4681
|1244.9362
|
| style="text-align:center;" | dim 8ve
| style="text-align:center;" | dim 8ve
| style="text-align:center;" | d8
| style="text-align:center;" | d8
Line 311: Line 405:
|-
|-
| style="text-align:center;" | 47
| style="text-align:center;" | 47
| style="text-align:right;" | 1200.0000
| style="text-align:right;" | 1200
|1272
|1536 (600<sub>16</sub>)
| style="text-align:center;" | perfect 8ve
| style="text-align:center;" | perfect 8ve
| style="text-align:center;" | P8
| style="text-align:center;" | P8