47edo: Difference between revisions

Jkarimak (talk | contribs)
Intervals of 47edo: Removed pions column
Line 25: Line 25:
! | Degree
! | Degree
! | Size (Cents)
! | Size (Cents)
!pions
!7mus
!7mus
! colspan="2" | relative notation
! colspan="2" | relative notation
! | absolute notation
! | absolute notation
|-
|-
| colspan="4" style="text-align:center;" | 0
| style="text-align:center;" | 0
|0.0000
|0
| style="text-align:center;" | perfect unison
| style="text-align:center;" | perfect unison
| style="text-align:center;" | P1
| style="text-align:center;" | P1
Line 37: 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>)
|32.68085 (20.AE4C<sub>16</sub>)
| style="text-align:center;" | aug 1sn
| style="text-align:center;" | aug 1sn
Line 45: Line 45:
| 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>)
|65.3617 (41.5C988<sub>16</sub>)
| style="text-align:center;" | double-aug 1sn
| style="text-align:center;" | double-aug 1sn
Line 53: Line 52:
| 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>)
|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
Line 61: Line 59:
| 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>)
|130.7234 (82.B931<sub>16</sub>)
| style="text-align:center;" | double-dim 2nd
| style="text-align:center;" | double-dim 2nd
Line 69: Line 66:
| 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>)
|163.4043 (A3.677D<sub>16</sub>)
| style="text-align:center;" | dim 2nd
| style="text-align:center;" | dim 2nd
Line 77: Line 73:
| 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>)
|196.0851 (C4.15CA<sub>16</sub>)
| style="text-align:center;" | minor 2nd
| style="text-align:center;" | minor 2nd
Line 85: Line 80:
| 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>)
|228.766 (E4.C416<sub>16</sub>)
| style="text-align:center;" | major 2nd
| style="text-align:center;" | major 2nd
Line 93: Line 87:
| style="text-align:center;" | 8
| style="text-align:center;" | 8
| style="text-align:right;" | 204.2553
| style="text-align:right;" | 204.2553
|216.5106
|261.4468 (105.7262<sub>16</sub>)
|261.4468 (105.7262<sub>16</sub>)
| style="text-align:center;" | aug 2nd
| style="text-align:center;" | aug 2nd
Line 101: Line 94:
| style="text-align:center;" | 9
| style="text-align:center;" | 9
| style="text-align:right;" | 229.7872
| style="text-align:right;" | 229.7872
|243.5745
|294.1277 (126.20AE<sub>16</sub>)
|294.1277 (126.20AE<sub>16</sub>)
| style="text-align:center;" | double-aug 2nd
| style="text-align:center;" | double-aug 2nd
Line 109: Line 101:
| style="text-align:center;" | 10
| style="text-align:center;" | 10
| style="text-align:right;" | 255.31915
| style="text-align:right;" | 255.31915
|270.6383
|326.8085 (146.CEFB<sub>16</sub>)
|326.8085 (146.CEFB<sub>16</sub>)
| style="text-align:center;" | triple-aug 2nd, triple-dim 3rd
| style="text-align:center;" | triple-aug 2nd, triple-dim 3rd
Line 117: Line 108:
| style="text-align:center;" | 11
| style="text-align:center;" | 11
| style="text-align:right;" | 280.8511
| style="text-align:right;" | 280.8511
|297.7021
|359.4894 (167.7D47<sub>16</sub>)
|359.4894 (167.7D47<sub>16</sub>)
| style="text-align:center;" | double-dim 3rd
| style="text-align:center;" | double-dim 3rd
Line 125: Line 115:
| style="text-align:center;" | 12
| style="text-align:center;" | 12
| style="text-align:right;" | 306.383
| style="text-align:right;" | 306.383
|324.766
|392.1702 (188.2B93<sub>16</sub>)
|392.1702 (188.2B93<sub>16</sub>)
| style="text-align:center;" | dim 3rd
| style="text-align:center;" | dim 3rd
Line 133: Line 122:
| style="text-align:center;" | 13
| style="text-align:center;" | 13
| style="text-align:right;" | 331.9149
| style="text-align:right;" | 331.9149
|351.8298
|424.8511 (1A8.D9DF<sub>16</sub>)
|424.8511 (1A8.D9DF<sub>16</sub>)
| style="text-align:center;" | minor 3rd
| style="text-align:center;" | minor 3rd
Line 141: Line 129:
| style="text-align:center;" | 14
| style="text-align:center;" | 14
| style="text-align:right;" | 357.4468
| style="text-align:right;" | 357.4468
|378.8936
|457.5319 (1C9.882C<sub>16</sub>)
|457.5319 (1C9.882C<sub>16</sub>)
| style="text-align:center;" | major 3rd
| style="text-align:center;" | major 3rd
Line 149: Line 136:
| style="text-align:center;" | 15
| style="text-align:center;" | 15
| style="text-align:right;" | 382.9787
| style="text-align:right;" | 382.9787
|405.95745
|490.2128 (1EA.3678<sub>16</sub>)
|490.2128 (1EA.3678<sub>16</sub>)
| style="text-align:center;" | aug 3rd
| style="text-align:center;" | aug 3rd
Line 157: Line 143:
| style="text-align:center;" | 16
| style="text-align:center;" | 16
| style="text-align:right;" | 408.5106
| style="text-align:right;" | 408.5106
|433.0213
|522.8936 (20A.E4C4<sub>16</sub>)
|522.8936 (20A.E4C4<sub>16</sub>)
| style="text-align:center;" | double-aug 3rd
| style="text-align:center;" | double-aug 3rd
Line 165: Line 150:
| style="text-align:center;" | 17
| style="text-align:center;" | 17
| style="text-align:right;" | 434.04255
| style="text-align:right;" | 434.04255
|460.0851
|555.5745 (22B.931<sub>16</sub>)
|555.5745 (22B.931<sub>16</sub>)
| style="text-align:center;" | triple-aug 3rd, triple-dim 4th
| style="text-align:center;" | triple-aug 3rd, triple-dim 4th
Line 173: Line 157:
| style="text-align:center;" | 18
| style="text-align:center;" | 18
| style="text-align:right;" | 459.5745
| style="text-align:right;" | 459.5745
|487.1489
|588.2553 (24C.415D<sub>16</sub>)
|588.2553 (24C.415D<sub>16</sub>)
| style="text-align:center;" | double-dim 4th
| style="text-align:center;" | double-dim 4th
Line 181: Line 164:
| style="text-align:center;" | 19
| style="text-align:center;" | 19
| style="text-align:right;" | 485.1064
| style="text-align:right;" | 485.1064
|514.2128
|620.9362 (26C.EFA9<sub>16</sub>)
|620.9362 (26C.EFA9<sub>16</sub>)
| style="text-align:center;" | dim 4th
| style="text-align:center;" | dim 4th
Line 189: Line 171:
| style="text-align:center;" | 20
| style="text-align:center;" | 20
| style="text-align:right;" | 510.6383
| style="text-align:right;" | 510.6383
|541.2766
|653.617 (28D.9DF5<sub>16</sub>)
|653.617 (28D.9DF5<sub>16</sub>)
| style="text-align:center;" | perfect 4th
| style="text-align:center;" | perfect 4th
Line 197: Line 178:
| style="text-align:center;" | 21
| style="text-align:center;" | 21
| style="text-align:right;" | 536.1702
| style="text-align:right;" | 536.1702
|568.3404
|686.2979 (2AE.4C41<sub>16</sub>)
|686.2979 (2AE.4C41<sub>16</sub>)
| style="text-align:center;" | aug 4th
| style="text-align:center;" | aug 4th
Line 205: Line 185:
| style="text-align:center;" | 22
| style="text-align:center;" | 22
| style="text-align:right;" | 561.7021
| style="text-align:right;" | 561.7021
|595.4043
|718.9787 (2CE.FA8E<sub>16</sub>)
|718.9787 (2CE.FA8E<sub>16</sub>)
| style="text-align:center;" | double-aug 4th
| style="text-align:center;" | double-aug 4th
Line 213: Line 192:
| style="text-align:center;" | 23
| style="text-align:center;" | 23
| style="text-align:right;" | 587.2340
| style="text-align:right;" | 587.2340
|622.4681
|751.6595 (2EF.A8DA<sub>16</sub>)
|751.6595 (2EF.A8DA<sub>16</sub>)
| style="text-align:center;" | triple-aug 4th
| style="text-align:center;" | triple-aug 4th
Line 221: Line 199:
| style="text-align:center;" | 24
| style="text-align:center;" | 24
| style="text-align:right;" | 612.7660
| style="text-align:right;" | 612.7660
|649.5319
|784.3404 (310.5726<sub>16</sub>)
|784.3404 (310.5726<sub>16</sub>)
| style="text-align:center;" | triple-dim 5th
| style="text-align:center;" | triple-dim 5th
Line 229: Line 206:
| style="text-align:center;" | 25
| style="text-align:center;" | 25
| style="text-align:right;" | 638.2979
| style="text-align:right;" | 638.2979
|676.5957
|817.0213 (331.0572<sub>16</sub>)
|817.0213 (331.0572<sub>16</sub>)
| style="text-align:center;" | double-dim 5th
| style="text-align:center;" | double-dim 5th
Line 237: Line 213:
| style="text-align:center;" | 26
| style="text-align:center;" | 26
| style="text-align:right;" | 663.8298
| style="text-align:right;" | 663.8298
|703.6596
|849.7021 (351.B3BF<sub>16</sub>)
|849.7021 (351.B3BF<sub>16</sub>)
| style="text-align:center;" | dim 5th
| style="text-align:center;" | dim 5th
Line 245: Line 220:
| style="text-align:center;" | 27
| style="text-align:center;" | 27
| style="text-align:right;" | 689.3617
| style="text-align:right;" | 689.3617
|730.7234
|882.383 (372.620B<sub>16</sub>)
|882.383 (372.620B<sub>16</sub>)
| style="text-align:center;" | perfect 5th
| style="text-align:center;" | perfect 5th
Line 253: Line 227:
| style="text-align:center;" | 28
| style="text-align:center;" | 28
| style="text-align:right;" | 714.8936
| style="text-align:right;" | 714.8936
|757.7872
|915.0638 (393.1057<sub>16</sub>)
|915.0638 (393.1057<sub>16</sub>)
| style="text-align:center;" | aug 5th
| style="text-align:center;" | aug 5th
Line 261: Line 234:
| style="text-align:center;" | 29
| style="text-align:center;" | 29
| style="text-align:right;" | 740.4255
| style="text-align:right;" | 740.4255
|784.8511
|947.7447 (3B3.BEA3<sub>16</sub>)
|947.7447 (3B3.BEA3<sub>16</sub>)
| style="text-align:center;" | double-aug 5th
| style="text-align:center;" | double-aug 5th
Line 269: Line 241:
| style="text-align:center;" | 30
| style="text-align:center;" | 30
| style="text-align:right;" | 765.95745
| style="text-align:right;" | 765.95745
|811.9149
|980.4255 (3D4.6CF<sub>16</sub>)
|980.4255 (3D4.6CF<sub>16</sub>)
| style="text-align:center;" | triple-aug 5th, triple-dim 6th
| style="text-align:center;" | triple-aug 5th, triple-dim 6th
Line 277: Line 248:
| style="text-align:center;" | 31
| style="text-align:center;" | 31
| style="text-align:right;" | 791.4894
| style="text-align:right;" | 791.4894
|838.9787
|1013.1064 (3F5.1B3C<sub>16</sub>)
|1013.1064 (3F5.1B3C<sub>16</sub>)
| style="text-align:center;" | double-dim 6th
| style="text-align:center;" | double-dim 6th
Line 285: Line 255:
| style="text-align:center;" | 32
| style="text-align:center;" | 32
| style="text-align:right;" | 817.0213
| style="text-align:right;" | 817.0213
|866.04255
|1045.7872 (415.C988<sub>16</sub>)
|1045.7872 (415.C988<sub>16</sub>)
| style="text-align:center;" | dim 6th
| style="text-align:center;" | dim 6th
Line 293: Line 262:
| style="text-align:center;" | 33
| style="text-align:center;" | 33
| style="text-align:right;" | 842.5532
| style="text-align:right;" | 842.5532
|893.1064
|1078.4681 (436.77D4<sub>16</sub>)
|1078.4681 (436.77D4<sub>16</sub>)
| style="text-align:center;" | minor 6th
| style="text-align:center;" | minor 6th
Line 301: Line 269:
| style="text-align:center;" | 34
| style="text-align:center;" | 34
| style="text-align:right;" | 868.0851
| style="text-align:right;" | 868.0851
|920.1702
|1111.1489 (457.2621<sub>16</sub>)
|1111.1489 (457.2621<sub>16</sub>)
| style="text-align:center;" | major 6th
| style="text-align:center;" | major 6th
Line 309: Line 276:
| style="text-align:center;" | 35
| style="text-align:center;" | 35
| style="text-align:right;" | 893.617
| style="text-align:right;" | 893.617
|947.234
|1143.8298 (477.D46D<sub>16</sub>)
|1143.8298 (477.D46D<sub>16</sub>)
| style="text-align:center;" | aug 6th
| style="text-align:center;" | aug 6th
Line 317: Line 283:
| style="text-align:center;" | 36
| style="text-align:center;" | 36
| style="text-align:right;" | 919.1489
| style="text-align:right;" | 919.1489
|974.2979
|1176.5106 (498.82B9<sub>16</sub>)
|1176.5106 (498.82B9<sub>16</sub>)
| style="text-align:center;" | double-aug 6th
| style="text-align:center;" | double-aug 6th
Line 325: Line 290:
| style="text-align:center;" | 37
| style="text-align:center;" | 37
| style="text-align:right;" | 944.68085
| style="text-align:right;" | 944.68085
|1001.3617
|1209.1915 (4B9.3105<sub>16</sub>)
|1209.1915 (4B9.3105<sub>16</sub>)
| style="text-align:center;" | triple-aug 6th, triple-dim 7th
| style="text-align:center;" | triple-aug 6th, triple-dim 7th
Line 333: Line 297:
| style="text-align:center;" | 38
| style="text-align:center;" | 38
| style="text-align:right;" | 970.2128
| style="text-align:right;" | 970.2128
|1028.4255
|1241.8723 (4D9.DF52<sub>16</sub>)
|1241.8723 (4D9.DF52<sub>16</sub>)
| style="text-align:center;" | double-dim 7th
| style="text-align:center;" | double-dim 7th
Line 341: Line 304:
| style="text-align:center;" | 39
| style="text-align:center;" | 39
| style="text-align:right;" | 995.7447
| style="text-align:right;" | 995.7447
|1055.4894
|1274.5532 (4FA.8D9E<sub>16</sub>)
|1274.5532 (4FA.8D9E<sub>16</sub>)
| style="text-align:center;" | dim 7th
| style="text-align:center;" | dim 7th
Line 349: Line 311:
| style="text-align:center;" | 40
| style="text-align:center;" | 40
| style="text-align:right;" | 1021.2766
| style="text-align:right;" | 1021.2766
|1082.5532
|1307.234 (51B.3BEA<sub>16</sub>)
|1307.234 (51B.3BEA<sub>16</sub>)
| style="text-align:center;" | minor 7th
| style="text-align:center;" | minor 7th
Line 357: Line 318:
| style="text-align:center;" | 41
| style="text-align:center;" | 41
| style="text-align:right;" | 1046.8085
| style="text-align:right;" | 1046.8085
|1109.617
|1339.9149 (53B.EA36<sub>16</sub>)
|1339.9149 (53B.EA36<sub>16</sub>)
| style="text-align:center;" | major 7th
| style="text-align:center;" | major 7th
Line 365: Line 325:
| style="text-align:center;" | 42
| style="text-align:center;" | 42
| style="text-align:right;" | 1072.3404
| style="text-align:right;" | 1072.3404
|1136.68085
|1372.5957 (55C.9883<sub>16</sub>)
|1372.5957 (55C.9883<sub>16</sub>)
| style="text-align:center;" | aug 7th
| style="text-align:center;" | aug 7th
Line 373: Line 332:
| style="text-align:center;" | 43
| style="text-align:center;" | 43
| style="text-align:right;" | 1097.8723
| style="text-align:right;" | 1097.8723
|1163.7447
|1405.2766 (57D.46CF<sub>16</sub>)
|1405.2766 (57D.46CF<sub>16</sub>)
| style="text-align:center;" | double-aug 7th
| style="text-align:center;" | double-aug 7th
Line 381: Line 339:
| style="text-align:center;" | 44
| style="text-align:center;" | 44
| style="text-align:right;" | 1123.4043
| style="text-align:right;" | 1123.4043
|1190.8085
|1437.95745 (59D.F51B<sub>16</sub>)
|1437.95745 (59D.F51B<sub>16</sub>)
| style="text-align:center;" | triple-aug 7th, triple-dim 8ve
| style="text-align:center;" | triple-aug 7th, triple-dim 8ve
Line 389: Line 346:
| style="text-align:center;" | 45
| style="text-align:center;" | 45
| style="text-align:right;" | 1148.9362
| style="text-align:right;" | 1148.9362
|1217.8723
|1470.6383 (5BE.A3678<sub>16</sub>)
|1470.6383 (5BE.A3678<sub>16</sub>)
| style="text-align:center;" | double-dim 8ve
| style="text-align:center;" | double-dim 8ve
Line 397: Line 353:
| style="text-align:center;" | 46
| style="text-align:center;" | 46
| style="text-align:right;" | 1174.4681
| style="text-align:right;" | 1174.4681
|1244.9362
|1503.31915 (5DF.51B4<sub>16</sub>)
|1503.31915 (5DF.51B4<sub>16</sub>)
| style="text-align:center;" | dim 8ve
| style="text-align:center;" | dim 8ve
Line 405: Line 360:
| style="text-align:center;" | 47
| style="text-align:center;" | 47
| style="text-align:right;" | 1200
| style="text-align:right;" | 1200
|1272
|1536 (600<sub>16</sub>)
|1536 (600<sub>16</sub>)
| style="text-align:center;" | perfect 8ve
| style="text-align:center;" | perfect 8ve