47edo: Difference between revisions

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→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

Revision as of 13:28, 12 December 2019

47 tone Equal Temperament

47-EDO divides the octave into 47 equal parts of 25.5319 cents each. It has a fifth which is 12.5933 cents flat, unless you use the alternative fifth which is 12.9386 cents sharp, similar to 35edo. It has therefore not aroused much interest, but its best approximation to 9/8 is actually quite good, one-third of a cent sharp. It does a good job of approximating the 2.9.5.7.33.13.17.57.69 23-limit 2*47 subgroup of the 23-limit, on which it tempers out the same commas as 94edo. It provides a good tuning for baldy and silver temperaments and relatives.

47edo is the 15th prime edo, following 43edo and preceding 53edo.

47edo is a regular edo because its 5th falls between 4\7 = 686¢ and 3\5 = 720¢. (Its alternate 5th does as well.) 47edo is one of the most difficult regular edos to notate, because no other regular edo's 5th is as flat (see 42edo for the opposite extreme).

A notation using the best 5th has major and minor 2nds of 7 and 6 edosteps respectively, with the naturals creating a roughly 7edo-ish scale:

D * * * * * * E * * * * * F * * * * * * G * * * * * * A * * * * * * B * * * * * C * * * * * * D

D# is next to D. This notation requires triple, quadruple and in some keys, quintuple or more sharps and flats. For example, a 0-15-27-38 chord (an approximate 4:5:6:7) on the note three edosteps above D would be spelled either as D#3 - F#5 - A#3 - C# or as Eb4 - Gbb - Ab4 - Db6. This is an aug-three double-dim-seven chord, written D#3(A3)dd7 or Eb4(A3)dd7. It could also be called a sharp-three triple-flat-seven chord, written D#3(#3)b37 or Eb4(#3)b37.

Using the 2nd best 5th is even more awkward. The major 2nd is 9 edosteps and the minor is only one. The naturals create a roughly 5edo-ish scale, with two of the notes inflected by a comma-sized edostep:

D * * * * * * * * E F * * * * * * * * G * * * * * * * * A * * * * * * * * B C * * * * * * * * D

D# is next to E. This notation requires quadruple, quintuple, and even sextuple ups and downs, as well as single sharps and flats.

Intervals of 47edo

Degree Size (Cents) 7mus relative notation absolute notation
0 0.0000 0 perfect unison P1 D
1 25.5319 32.68085 (20.AE4C16) aug 1sn A1 D#
2 51.0638 65.3617 (41.5C98816) double-aug 1sn AA1 Dx
3 76.5957 98.04255 (62.0AE516) triple-aug 1sn, triple-dim 2nd A31, d32 D#3, Eb4
4 102.1277 130.7234 (82.B93116) double-dim 2nd dd2 Eb3
5 127.6596 163.4043 (A3.677D16) dim 2nd d2 Ebb
6 153.1915 196.0851 (C4.15CA16) minor 2nd m2 Eb
7 178.7234 228.766 (E4.C41616) major 2nd M2 E
8 204.2553 261.4468 (105.726216) aug 2nd A2 E#
9 229.7872 294.1277 (126.20AE16) double-aug 2nd AA2 Ex
10 255.31915 326.8085 (146.CEFB16) triple-aug 2nd, triple-dim 3rd A32, d33 E#3, Fb3
11 280.8511 359.4894 (167.7D4716) double-dim 3rd dd3 Fbb
12 306.383 392.1702 (188.2B9316) dim 3rd d3 Fb
13 331.9149 424.8511 (1A8.D9DF16) minor 3rd m3 F
14 357.4468 457.5319 (1C9.882C16) major 3rd M3 F#
15 382.9787 490.2128 (1EA.367816) aug 3rd A3 Fx
16 408.5106 522.8936 (20A.E4C416) double-aug 3rd AA3 F#3
17 434.04255 555.5745 (22B.93116) triple-aug 3rd, triple-dim 4th A33, d34 F#4, Gb3
18 459.5745 588.2553 (24C.415D16) double-dim 4th dd4 Gbb
19 485.1064 620.9362 (26C.EFA916) dim 4th d4 Gb
20 510.6383 653.617 (28D.9DF516) perfect 4th P4 G
21 536.1702 686.2979 (2AE.4C4116) aug 4th A4 G#
22 561.7021 718.9787 (2CE.FA8E16) double-aug 4th AA4 Gx
23 587.2340 751.6595 (2EF.A8DA16) triple-aug 4th A34 G#3
24 612.7660 784.3404 (310.572616) triple-dim 5th d35 Ab3
25 638.2979 817.0213 (331.057216) double-dim 5th dd5 Abb
26 663.8298 849.7021 (351.B3BF16) dim 5th d5 Ab
27 689.3617 882.383 (372.620B16) perfect 5th P5 A
28 714.8936 915.0638 (393.105716) aug 5th A5 A#
29 740.4255 947.7447 (3B3.BEA316) double-aug 5th AA5 Ax
30 765.95745 980.4255 (3D4.6CF16) triple-aug 5th, triple-dim 6th A35, d36 A#3, Bb4
31 791.4894 1013.1064 (3F5.1B3C16) double-dim 6th dd6 Bb3
32 817.0213 1045.7872 (415.C98816) dim 6th d6 Bbb
33 842.5532 1078.4681 (436.77D416) minor 6th m6 Bb
34 868.0851 1111.1489 (457.262116) major 6th M6 B
35 893.617 1143.8298 (477.D46D16) aug 6th A6 B#
36 919.1489 1176.5106 (498.82B916) double-aug 6th AA6 Bx
37 944.68085 1209.1915 (4B9.310516) triple-aug 6th, triple-dim 7th A36, d37 B#3, Cb3
38 970.2128 1241.8723 (4D9.DF5216) double-dim 7th dd7 Cbb
39 995.7447 1274.5532 (4FA.8D9E16) dim 7th d7 Cb
40 1021.2766 1307.234 (51B.3BEA16) minor 7th m7 C
41 1046.8085 1339.9149 (53B.EA3616) major 7th M7 C#
42 1072.3404 1372.5957 (55C.988316) aug 7th A7 Cx
43 1097.8723 1405.2766 (57D.46CF16) double-aug 7th AA7 C#3
44 1123.4043 1437.95745 (59D.F51B16) triple-aug 7th, triple-dim 8ve A37, d38 C#4, Db3
45 1148.9362 1470.6383 (5BE.A367816) double-dim 8ve dd8 Dbb
46 1174.4681 1503.31915 (5DF.51B416) dim 8ve d8 Db
47 1200 1536 (60016) perfect 8ve P8 D
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