User:Moremajorthanmajor/2L 1s (perfect fourth-equivalent): Difference between revisions

 
(3 intermediate revisions by the same user not shown)
Line 10: Line 10:
{| class="wikitable"
{| class="wikitable"
|+Cents
|+Cents
! colspan="3" |Notation
!Notation
!Supersoft
!Supersoft
!Soft
!Soft
Line 20: Line 20:
|-
|-
!Fourth
!Fourth
! colspan="2" |Seventh
!~11ed4/3
!~11ed4/3
!~8ed4/3
!~8ed4/3
Line 28: Line 27:
!~7ed4\3
!~7ed4\3
!~9ed4/3
!~9ed4/3
|-
!
!Mixolydian
!Dorian
!
!
!
!
!
!
!
|-
|-
|F/C/G ut#
|F/C/G ut#
Line 46: Line 34:


ص#
ص#
|F/C/G ut#
Sol#
ص#
|G/D/A re#
Re#
ر#
|1\11, 46.154
|1\11, 46.154
|1\8, 63.158
|1\8, 63.158
Line 66: Line 46:


رb, لb
رb, لb
|G/D/A reb
Lab
لb
|A/E/B mib
Mib
مb
|3\11, 138.462
|3\11, 138.462
|2\8, 126.316
|2\8, 126.316
Line 85: Line 57:


'''ر, ل'''
'''ر, ل'''
|'''G/D/A re'''
|'''4\11,''' '''184.615'''
'''La'''
|'''3\8,''' '''189.474'''
 
ل
|'''A/E/B mi'''
'''Mi'''
 
م
|'''4\11,''' '''184.615'''
|'''3\8,''' '''189.474'''
|'''5\13,''' '''193.548'''
|'''5\13,''' '''193.548'''
|'''2\5,''' '''200'''
|'''2\5,''' '''200'''
Line 105: Line 69:


ر,# ل#
ر,# ل#
|G/D/A re#
La#
ل#
|A/E/B mi#
Mi#
م#
|5\11, 230.769
|5\11, 230.769
| rowspan="2" |4\8, 252.632
| rowspan="2" |4\8, 252.632
Line 125: Line 81:


مbb,تbb
مbb,تbb
|A/E/B mibb
Sibb
تbb
|B/F/C fab
Fab
فb
|6\11, 276.923
|6\11, 276.923
|6\13, 232.258
|6\13, 232.258
Line 144: Line 92:


'''مb,تb'''
'''مb,تb'''
|'''A/E/B mib'''
'''Sib'''
تb
|'''B/F/C fa'''
'''Fa'''
'''ف'''
|'''7\11,''' '''323.077'''
|'''7\11,''' '''323.077'''
|'''5\8,''' '''315.789'''
|'''5\8,''' '''315.789'''
Line 164: Line 104:


م, ت
م, ت
| A/E/B mi
Si
ت
|B/F/C fa#
Fa#
ف#
|8\11, 369.231
|8\11, 369.231
|6\8, 378.947
|6\8, 378.947
Line 184: Line 116:


م,#ت#
م,#ت#
|A/E/B mi#
Si#
ت#
|B/F/C fax
Fax
فx
|9\11, 415.385
|9\11, 415.385
| rowspan="2" |7\8, 442.105
| rowspan="2" |7\8, 442.105
Line 204: Line 128:


دb,
دb,
صb
| B/F/C fab
Dob
دb
|C/G/D solb
Solb


صb
صb
Line 225: Line 141:


د, ص
د, ص
!B/F/C fa
Do
د
!C/G/D sol
Sol
ص
!'''11\11,''' '''507.692'''
!'''11\11,''' '''507.692'''
!'''8\8,''' '''505.263'''
!'''8\8,''' '''505.263'''
Line 240: Line 148:
!'''7\7,''' '''494.118'''
!'''7\7,''' '''494.118'''
!'''9\9,''' '''490.909'''
!'''9\9,''' '''490.909'''
|-
|}
|F/C/G ut#
Do#, Sol#


د#,
{| class="wikitable"
 
|+Cents
ص#
! colspan="2" |Notation
|B/F/C fa#
!Supersoft
Do#
!Soft
 
!Semisoft
د#
!Basic
|C/G/D sol#
!Semihard
Sol#
!Hard
 
!Superhard
ص#
|12\11, 553.846
|9\8, 568.421
|15\13, 580.645
| rowspan="2" |6\5, 600
|15\12, 620.690
|9\7, 635.294
|12\9, 654.545
|-
|-
|G/D/A reb
! colspan="2" |Seventh
Reb, Lab
!~11ed4/3
!~8ed4/3
!~13ed4/3
!~5ed4/3
!~12ed4/3
!~7ed4\3
!~9ed4/3
|-
!Mixolydian
!Dorian
!
!
!
!
!
!
!
|-
| F/C/G ut#
Sol#


رb, لb
ص#
|C/G/D solb
|G/D/A re#
Reb
Re#


رb
ر#
|D/A/E lab
|1\11, 46.154
Lab
|1\8, 63.158
|2\13, 77.419
| rowspan="2" |1\5, 100
| 3\12, 124.138
|2\7, 141.176
|3\9, 163.636
|-
|G/D/A reb
Lab


لb
لb
|14\11, 646.154
|A/E/B mib
|10\8, 631.579
Mib
|16\13, 619.355
 
|14\12, 579.310
مb
|8\7, 564.706
|3\11, 138.462
|10\9, 545.455
|2\8, 126.316
|3\13, 116.129
|2\12, 82.759
|1\7, 70.588
|1\9, 54.545
|-
|-
|'''G/D/A re'''
|'''G/D/A re'''
'''Re, La'''
'''ر, ل'''
|'''C/G/D sol'''
'''Re'''
ر
|'''D/A/E la'''
'''La'''
'''La'''


ل
ل
|'''15\11,''' '''692.308'''
|'''A/E/B mi'''
|'''11\8''' '''694.737'''
'''Mi'''
|'''18\13,''' '''696.774'''
 
|'''7\5,''' '''700'''
م
|'''17\12,''' '''703.448'''
|'''4\11,''' '''184.615'''
|'''10\7,''' '''705.882'''
|'''3\8,''' '''189.474'''
|'''13\9,''' '''709.091'''
|'''5\13,''' '''193.548'''
|'''2\5,''' '''200'''
|'''5\12,''' '''206.897'''
|'''3\7,''' '''211.765'''
|'''4\9,''' '''218.182'''
|-
|-
|G/D/A re#
|G/D/A re#
Re#, La#
ر,# ل#
|C/G/D sol#
Re#
د#
|D/A/E la#
La#
La#


ل#
ل#
|16\11, 738.462
| A/E/B mi#
|12\8, 757.895
Mi#
|20\13, 774.294
 
| rowspan="2" |'''8\5,''' '''800'''
م#
|20\12, 827.586
|5\11, 230.769
|12\7, 847.059
| rowspan="2" |4\8, 252.632
|16\9, 872.727
| 7\13, 270.967
|3\5, 300
|8\12, 331.034
|5\7, 352.941
|7\9, 381.818
|-
|-
|'''A/E/B mib'''
|A/E/B mibb
'''Mib, Sib'''
Sibb


'''مb,تb'''
تbb
|'''D/A/E lab'''
|B/F/C fab
'''Mib'''
Fab


مb
فb
|'''E/B/F síb'''
|6\11, 276.923
|6\13, 232.258
|2\5, 200
|4\12, 165.517
|2\7, 141.176
|2\9, 109.091
|-
|'''A/E/B mib'''
'''Sib'''
'''Sib'''


تb
تb
|'''18\11,''' '''830.769'''
|'''B/F/C fa'''
|'''13\8,''' '''821.053'''
'''Fa'''
|'''21\13,''' '''812.903'''
 
|'''19\12,''' '''786.207'''
'''ف'''
|'''11\7,''' '''776.471'''
|'''7\11,''' '''323.077'''
|'''14\9,''' '''763.636'''
|'''5\8,''' '''315.789'''
|'''8\13,''' '''309.677'''
|'''3\5,''' '''300'''
|'''7\12,''' '''289.655'''
|'''4\7,''' '''282.353'''
|'''5\9,''' '''272.727'''
|-
|-
|A/E/B mi
|A/E/B mi
Mi, Si
م, ت
|D/A/E la
Mi
م
|E/B/F sí
Si
Si


ت
ت
|19\11, 876.923
|B/F/C fa#
|14\8, 884.211
Fa#
|23\13, 890.323
 
|9\5, 900
ف#
|22\12, 910.345
| 8\11, 369.231
|13\7, 917.647
|6\8, 378.947
|17\9, 927.727
|10\13, 387.097
|4\5, 400
|10\12, 413.793
|6\7, 423.529
|8\9, 436.364
|-
|-
|A/E/B mi#
|A/E/B mi#
Mi#, Si#
م,#ت#
| D/A/E la#
Mi#
م#
|E/B/F sí#
Si#
Si#


ت#
ت#
|20\11, 923.077
|B/F/C fax
| rowspan="2" |15\8, 947.378
Fax
|25\13, 967.742
|10\5, 1000
|25\12, 1034.483
|15\7, 1058.824
|20\9, 1090.909
|-
|F/C/G utb
Dob, Solb


دb,
فx
 
|9\11, 415.385
صb
| rowspan="2" |7\8, 442.105
|F/C/G utb
|12\13, 464.516
|5\5, 500
|13\12, 537.069
|8\7, 564.705
|11\9, 600
|-
| B/F/C fab
Dob
 
دb
|C/G/D solb
Solb
Solb


صb
صb
|G/D/A reb
|10\11, 461.538
Reb
|11\13, 425.806
|4\5, 400
|9\12, 372.414
|5\7, 352.941
|6\9, 327.273
|-
!B/F/C fa
Do


رb
د
|21\11, 969.231
!C/G/D sol
|24\13, 929.033
|9\5, 900
|21\12, 868.966
|11\7, 776.471
|15\9, 818.182
|-
!F/C/G ut
Do, Sol
 
د, ص
!F/C/G ut
Sol
Sol


ص
ص
!G/D/A re
!'''11\11,''' '''507.692'''
Re
!'''8\8,''' '''505.263'''
!'''13\13,''' '''503.226'''
!5\5, 500
!'''12\12,''' '''496.552'''
!'''7\7,''' '''494.118'''
!'''9\9,''' '''490.909'''
|-
|B/F/C fa#
Do#
 
د#
| C/G/D sol#
Sol#


ر
ص#
!22\11, 1015.385
|12\11, 553.846
!16\8, 1010.526
|9\8, 568.421
!26\13, 1006.452
|15\13, 580.645
!10\5, 1000
| rowspan="2" |6\5, 600
!24\12, 993.103
|15\12, 620.690
!14\7, 988.235
|9\7, 635.294
!18\9, 981.818
|12\9, 654.545
|}
{| class="wikitable"
! colspan="2" |Notation
!Supersoft
!Soft
!Semisoft
!Basic
!Semihard
!Hard
!Superhard
|-
|-
!Mahur
|C/G/D solb
!Bijou
Reb
!~11ed4/3
 
! ~8ed4/3
رb
!~13ed4/3
|D/A/E lab
!~5ed4/3
Lab
!~12ed4/3
 
!~7ed4\3
لb
!~9ed4/3
|14\11, 646.154
|10\8, 631.579
|16\13, 619.355
|14\12, 579.310
|8\7, 564.706
|10\9, 545.455
|-
|-
|G#
|'''C/G/D sol'''
|0#, E#
'''Re'''
|1\11, 46.154
 
|1\8, 63.158
ر
|2\13, 77.419
|'''D/A/E la'''
| rowspan="2" |1\5, 100
'''La'''
|3\12, 124.138
 
|2\7, 141.176
ل
|3\9, 163.636
|'''15\11,''' '''692.308'''
|'''11\8'''  '''694.737'''
|'''18\13,''' '''696.774'''
|'''7\5,''' '''700'''
|'''17\12,''' '''703.448'''
|'''10\7,''' '''705.882'''
|'''13\9,''' '''709.091'''
|-
|-
|Jf, Af
|C/G/D sol#
|1b, 1d
Re#
|3\11, 138.462
 
|2\8, 126.316
د#
| 3\13, 116.129
|D/A/E la#
|2\12, 82.759
La#
|1\7, 70.588
 
|1\9, 54.545
ل#
|16\11, 738.462
|12\8, 757.895
|20\13, 774.294
| rowspan="2" |'''8\5,''' '''800'''
|20\12, 827.586
|12\7, 847.059
|16\9, 872.727
|-
|-
|'''J, A'''
|'''D/A/E lab'''
|'''1'''
'''Mib'''
|'''4\11,''' '''184.615'''
 
|'''3\8,''' '''189.474'''
مb
|'''5\13,''' '''193.548'''
|'''E/B/F síb'''
|'''2\5,''' '''200'''
'''Sib'''
|'''5\12,''' '''206.897'''
 
|'''3\7,''' '''211.765'''
تb
|'''4\9,''' '''218.182'''
|'''18\11,''' '''830.769'''
|'''13\8,''' '''821.053'''
|'''21\13,''' '''812.903'''
|'''19\12,''' '''786.207'''
|'''11\7,''' '''776.471'''
|'''14\9,''' '''763.636'''
|-
|-
|J#, A#
|D/A/E la
|1#
Mi
|5\11, 230.769
 
|4\8, 252.632
م
|7\13, 270.968
|E/B/F sí
| rowspan="2" |'''3\5,''' '''300'''
Si
|8\12, 331.034
 
|5\7, 352.941
ت
|7\9, 381.818
|19\11, 876.923
|-
|14\8, 884.211
|'''Af, Bf'''
|23\13, 890.323
|'''2b, 2d'''
|9\5, 900
|'''7\11,''' '''323.077'''
|22\12, 910.345
|'''5\8,''' '''315.789'''
|13\7, 917.647
|'''8\13,''' '''309.677'''
|17\9, 927.727
|'''7\12,''' '''289.655'''
|'''4\7,''' '''282.353'''
|'''5\9,''' '''272.727'''
|-
|-
|A, B
|D/A/E la#
|2
Mi#
|8\11, 369.231
 
|6\8, 378.947
م#
|10\13, 387.097
|E/B/F sí#
|4\5, 400
Si#
|10\12, 413.793
 
|6\7, 423.529
ت#
|8\9, 436.364
|20\11, 923.077
| rowspan="2" |15\8, 947.378
|25\13, 967.742
|10\5, 1000
|25\12, 1034.483
|15\7, 1058.824
|20\9, 1090.909
|-
|-
|A#, B#
|F/C/G utb
|2#
Solb
|9\11, 415.385
 
| rowspan="2" |7\8, 442.105
صb
|12\13, 464.516
|G/D/A reb
|5\5, 500
Reb
|13\12, 537.069
 
|8\7, 564.705
رb
|11\9, 600
|21\11, 969.231
|24\13, 929.033
|9\5, 900
|21\12, 868.966
|11\7, 776.471
|15\9, 818.182
|-
|-
|Bb, Cf
!F/C/G ut
|3b, 3d
Sol
|10\11, 461.538
 
|11\13, 425.806
ص
| 4\5, 400
!G/D/A re
|9\12, 372.414
Re
|5\7, 352.941
 
|6\9, 327.273
ر
!22\11, 1015.385
! 16\8, 1010.526
! 26\13, 1006.452
!10\5, 1000
!24\12, 993.103
!14\7, 988.235
!18\9, 981.818
|}
{| class="wikitable"
!Notation
!Supersoft
!Soft
!Semisoft
!Basic
!Semihard
!Hard
!Superhard
|-
|-
!B, C
!Mahur
!3
!~11ed4/3
!'''11\11,''' '''507.692'''
!~8ed4/3
!'''8\8,''' '''505.263'''
!~13ed4/3
!'''13\13,''' '''503.226'''
!~5ed4/3
!5\5, 500
!~12ed4/3
!'''12\12,''' '''496.552'''
!~7ed4\3
!'''7\7,''' '''494.118'''
! ~9ed4/3
!'''9\9,''' '''490.909'''
|-
|-
|B#, C#
|G#
|3#
|1\11, 46.154
|12\11, 553.846
|1\8, 63.158
|9\8, 568.421
|2\13, 77.419
|15\13, 580.645
| rowspan="2" |1\5, 100
| rowspan="2" |6\5, 600
|3\12, 124.138
|15\12, 620.690
|2\7, 141.176
|9\7, 635.294
|3\9, 163.636
|12\9, 654.545
|-
|-
|Cf, Qf
|Jf, Af
|4b, 4d
|3\11, 138.462
|14\11, 646.154
|2\8, 126.316
|10\8, 631.579
|3\13, 116.129
|16\13, 619.355
|2\12, 82.759
|14\12, 579.310
|1\7, 70.588
|8\7, 564.706
|1\9, 54.545
|10\9, 545.455
|-
|-
|'''C, Q'''
|'''J, A'''
|'''4'''
|'''4\11,''' '''184.615'''
|'''15\11,''' '''692.308'''
|'''3\8,''' '''189.474'''
|'''11\8''' '''694.737'''
|'''5\13,''' '''193.548'''
|'''18\13,''' '''696.774'''
|'''2\5,''' '''200'''
|'''7\5,''' '''700'''
|'''5\12,''' '''206.897'''
|'''17\12,''' '''703.448'''
|'''3\7,''' '''211.765'''
|'''10\7,''' '''705.882'''
|'''4\9,''' '''218.182'''
|'''13\9,''' '''709.091'''
|-
|-
|C#, Q#
| J#, A#
|4#
|5\11, 230.769
|16\11, 738.462
|4\8, 252.632
|12\8, 757.895
|7\13, 270.968
| 20\13, 774.194
| rowspan="2" |'''3\5,''' '''300'''
| rowspan="2" |'''8\5,''' '''800'''
|8\12, 331.034
|20\12, 827.586
|5\7, 352.941
|12\7, 847.059
|7\9, 381.818
|16\9, 872.727
|-
|-
|'''Qf, Df'''
|'''Af, Bf'''
|'''5b, 5d'''
|'''7\11,''' '''323.077'''
|'''18\11,''' '''830.769'''
|'''5\8,''' '''315.789'''
|'''13\8,''' '''821.053'''
|'''8\13,''' '''309.677'''
|'''21\13,''' '''812.903'''
|'''7\12,''' '''289.655'''
|'''19\12,''' '''786.207'''
|'''4\7,''' '''282.353'''
|'''11\7,''' '''776.471'''
|'''5\9,''' '''272.727'''
|'''14\9,''' '''763.636'''
|-
|-
|Q, D
|A, B
|5
|8\11, 369.231
|19\11, 876.923
|6\8, 378.947
|14\8, 884.211
|10\13, 387.097
|23\13, 890.323
|4\5, 400
|9\5, 900
|10\12, 413.793
|22\12, 910.345
|6\7, 423.529
|13\7, 917.647
|8\9, 436.364
|17\9, 927.727
|-
|-
|Q#, D#
|A#, B#
|5#
|9\11, 415.385
|20\11, 923.077
| rowspan="2" |7\8, 442.105
| rowspan="2" |15\8, 947.368
|12\13, 464.516
|25\13, 967.742
|5\5, 500
|10\5, 1000
|13\12, 537.069
|25\12, 1034.483
|8\7, 564.705
|15\7, 1058.824
|11\9, 600
|20\9, 1090.909
|-
|-
|Df, Sf
|Bb, Cf
|6b, 6d
|10\11, 461.538
|21\11, 969.231
|11\13, 425.806
|24\13, 929.033
|4\5, 400
|9\5, 900
|9\12, 372.414
|21\12, 868.966
|5\7, 352.941
|11\7, 776.471
|6\9, 327.273
|15\9, 818.182
|-
|-
!D, S
!B, C
!6
!'''11\11,''' '''507.692'''
!22\11, 1015.385
!'''8\8,''' '''505.263'''
!16\8, 1010.526
!'''13\13,''' '''503.226'''
!26\13, 1006.452
!5\5, 500
!10\5, 1000
!'''12\12,''' '''496.552'''
!24\12, 993.103
!'''7\7,''' '''494.118'''
! 14\7, 988.235
!'''9\9,''' '''490.909'''
!18\9, 981.818
|-
|-
|D#, S#
|B#, C#
|6#
|12\11, 553.846
|23\11, 1061.538
|9\8, 568.421
|17\8, 1073.684
|15\13, 580.645
|28\13, 1083.871
| rowspan="2" |6\5, 600
| rowspan="2" |11\5, 1100
|15\12, 620.690
|27\12, 1117.241
| 9\7, 635.294
|16\7, 1129.412
| 12\9, 654.545
|21\9, 1145.455
|-
|-
|Ef
|Cf, Qf
|7b, 7d
|14\11, 646.154
| 25\11, 1153.846
|10\8, 631.579
| 18\8, 1136.842
|16\13, 619.355
|29\13, 1122.581
|14\12, 579.310
|26\12, 1075.862
|8\7, 564.706
|15\7, 1058.824
| 10\9, 545.455
|19\9, 1036.364
|-
|-
|'''E'''
|'''C, Q'''
|'''7'''
|'''15\11,''' '''692.308'''
|'''26\11,''' '''1200'''
|'''11\8''' '''694.737'''
|'''19\8,''' '''1200'''
|'''18\13,''' '''696.774'''
|'''31\13,''' '''1200'''
|'''7\5,''' '''700'''
|'''12\5,''' '''1200'''
|'''17\12,''' '''703.448'''
|'''29\12,''' '''1200'''
|'''10\7,''' '''705.882'''
|'''17\7,''' '''1200'''
|'''13\9,''' '''709.091'''
|'''22\9,''' '''1200'''
|-
|-
|E#
|C#, Q#
|7#
|16\11, 738.462
|27\11, 1246.154
|12\8, 757.895
|20\8, 1263.158
|20\13, 774.194
|33\13, 1277.419
| rowspan="2" |'''8\5,''' '''800'''
| rowspan="2" |'''13\5,''' '''1300'''
|20\12, 827.586
|32\12, 1324.138
|12\7, 847.059
|19\7, 1341.176
|16\9, 872.727
|25\9, 1363.636
|-
|-
|'''Ff'''
|'''Qf, Df'''
|'''8b, Gd'''
|'''18\11,''' '''830.769'''
|'''29\11,''' '''1338.462'''
|'''13\8,''' '''821.053'''
|'''21\8,''' '''1326.316'''
|'''21\13,''' '''812.903'''
|'''34\13,''' '''1316.129'''
|'''19\12,''' '''786.207'''
|'''31\12,''' '''1282.759'''
|'''11\7,''' '''776.471'''
|'''18\7,''' '''1270.588'''
|'''14\9,''' '''763.636'''
|'''23\9,''' '''1254.545'''
|-
|-
|F
|Q, D
|8, G
|19\11, 876.923
|30\11, 1384.615
|14\8, 884.211
|22\8, 1389.474
|23\13, 890.323
|36\13, 1393.548
|9\5, 900
|14\5, 1400
|22\12, 910.345
|34\12, 1406.897
|13\7, 917.647
|20\7, 1411.765
| 17\9, 927.727
|26\9, 1418.182
|-
|-
|F#
|Q#, D#
|8#, G#
|20\11, 923.077
|31\11, 1430.769
| rowspan="2" |15\8, 947.368
| rowspan="2" |23\8, 1452.632
|25\13, 967.742
|38\13, 1470.968
| 10\5, 1000
|15\5, 1500
|25\12, 1034.483
|37\12, 1531.034
| 15\7, 1058.824
|22\7, 1552.941
| 20\9, 1090.909
|29\9, 1581.818
|-
|-
|Gf
|Df, Sf
|9b, Ad
| 21\11, 969.231
|32\11, 1476.923
|24\13, 929.033
|37\13, 1432.258
|9\5, 900
|14\5, 1400
|21\12, 868.966
|33\12, 1365.517
|11\7, 776.471
|19\7, 1341.176
|15\9, 818.182
|24\9, 1309.091
|-
|-
!G
!D, S
!'''9, A'''
!22\11, 1015.385
!33\11, 1523.077
!16\8, 1010.526
!24\8, 1515.789
!26\13, 1006.452
!39\13, 1509.677
!10\5, 1000
!15\5, 1500
!24\12, 993.103
!36\12, 1489.655
!14\7, 988.235
!21\7, 1482.353
!18\9, 981.818
!27\9, 1472.727
|-
|-
|G#
|D#, S#
|9#, A#
|23\11, 1061.538
|34\11, 1569.231
|17\8, 1073.684
| 25\8, 1578.947
|28\13, 1083.871
|41\13, 1587.097
| rowspan="2" |11\5, 1100
| rowspan="2" |16\5, 1600
|27\12, 1117.241
|39\12, 1613.793
|16\7, 1129.412
|23\7, 1623.529
|21\9, 1145.455
|30\9, 1636.364
|-
|-
|Jf, Af
|Ef
|Xb, Bd
|25\11, 1153.846
|36\11, 1661.538
|18\8, 1136.842
|26\8, 1642.105
|29\13, 1122.581
|42\13, 1625.806
|26\12, 1075.862
|38\12, 1572.034
|15\7, 1058.824
|22\7, 1552.941
|19\9, 1036.364
|28\9, 1527.{{Overline|27}}
|-
|-
|'''J, A'''
|'''E'''
|'''X, B'''
|'''26\11,''' '''1200'''
|'''37\11,''' '''1707.692'''
|'''19\8,''' '''1200'''
|'''27\8,''' '''1705.263'''
|'''31\13,''' '''1200'''
|'''44\13,''' '''1703.226'''
|'''12\5,''' '''1200'''
|'''17\5,''' '''1700'''
|'''29\12,''' '''1200'''
|'''41\12,''' '''1696.552'''
|'''17\7,''' '''1200'''
|'''24\7,''' '''1694.118'''
|'''22\9,''' '''1200'''
|'''31\9,''' '''1690.909'''
|-
|-
|J#, A#
|E#
|X#, B#
|27\11, 1246.154
|38\11, 1753.846
|20\8, 1263.158
|28\8, 1768.421
|33\13, 1277.419
|46\13, 1780.645
| rowspan="2" |'''13\5,''' '''1300'''
| rowspan="2" |'''18\5,''' '''1800'''
|32\12, 1324.138
|44\12, 1820.690
|19\7, 1341.176
|26\7, 1835.294
|25\9, 1363.636
|34\9, 1854.545
|-
|-
|'''Af, Bf'''
|'''Ff'''
|'''Eb, Dd'''
|'''29\11,''' '''1338.462'''
|'''40\11,''' '''1846.154'''
|'''21\8,''' '''1326.316'''
|'''29\8,''' '''1831.579'''
|'''34\13,''' '''1316.129'''
|'''47\13,''' '''1819.355'''
|'''31\12,''' '''1282.759'''
|'''43\12,''' '''1779.310'''
|'''18\7,''' '''1270.588'''
|'''25\7,''' '''1764.706'''
|'''23\9,''' '''1254.545'''
|'''32\9,''' '''1745.455'''
|-
|-
|A, B
|F
|E, D
|30\11, 1384.615
|41\11, 1892.308
|22\8, 1389.474
|30\8, 1894.737
|36\13, 1393.548
|49\13, 1896.774
|14\5, 1400
|19\5, 1900
|34\12, 1406.897
|46\12, 1903.448
|20\7, 1411.765
|27\7, 1905.882
| 26\9, 1418.182
|35\9, 1909.090
|-
|-
|A#, B#
|F#
|E#, D#
|31\11, 1430.769
|42\11, 1938.462
| rowspan="2" |23\8, 1452.632
| rowspan="2" |31\8, 1957.895
|38\13, 1470.968
|51\13, 1974.194
|15\5, 1500
|20\5, 2000
|37\12, 1531.034
|49\12, 2027.586
|22\7, 1552.941
|29\7, 2047.059
| 29\9, 1581.818
|38\9, 2072.727
|-
|-
|Bb, Cf
|Gf
|0b, Ed
|32\11, 1476.923
| 43\11, 1984.615
|37\13, 1432.258
|50\13, 1935.484
|14\5, 1400
|19\5, 1900
|33\12, 1365.517
|45\12, 1862.069
|19\7, 1341.176
|26\7, 1835.294
|24\9, 1309.091
|33\9, 1800
|-
|-
!B, C
!G
! 0, E
!33\11, 1523.077
!44\11, 2030.769
!24\8, 1515.789
!32\8, 2021.053
!39\13, 1509.677
!52\13, 2012.903
!15\5, 1500
!20\5, 2000
!36\12, 1489.655
!48\12, 1986.207
!21\7, 1482.353
!28\7, 1976.471
!27\9, 1472.727
!36\9, 1963.636
|}
|}
{| class="wikitable"
{| class="wikitable"
! colspan="2" |Notation
!Notation
!Supersoft
! Supersoft
!Soft
!Soft
!Semisoft
!Semisoft
! Basic
!Basic
!Semihard
!Semihard
!Hard
!Hard
!Superhard
!Superhard
|-
|-
!Hyperionic
!Bijou
!Subsextal
!~11ed4/3
!~11ed4/3
!~8ed4/3
! ~8ed4/3
!~13ed4/3
!~13ed4/3
!~5ed4/3
!~5ed4/3
!~12ed4/3
!~12ed4/3
! ~7ed4\3
!~7ed4\3
!~9ed4/3
!~9ed4/3
|-
|-
|1#
|0#, E#
|0#
|1\11, 46.154
|1\11, 46.154
|1\8, 63.158
|1\8, 63.158
Line 818: Line 758:
|3\12, 124.138
|3\12, 124.138
|2\7, 141.176
|2\7, 141.176
|3\9, 163.636
| 3\9, 163.636
|-
|-
|2f
|1b, 1d
|1f
|3\11, 138.462
| 3\11, 138.462
|2\8, 126.316
|2\8, 126.316
|3\13, 116.129
|3\13, 116.129
|2\12, 82.759
| 2\12, 82.759
|1\7, 70.588
|1\7, 70.588
|1\9, 54.545
|1\9, 54.545
|-
|-
|'''2'''
|'''1'''
|'''1'''
|'''4\11,''' '''184.615'''
|'''4\11,''' '''184.615'''
Line 839: Line 777:
|'''4\9,''' '''218.182'''
|'''4\9,''' '''218.182'''
|-
|-
|2#
|1#
|1#
| 5\11, 230.769
|5\11, 230.769
| 4\8, 252.632
|4\8, 252.632
|7\13, 270.967
|7\13, 270.968
| rowspan="2" |'''3\5,''' '''300'''
| rowspan="2" |'''3\5,''' '''300'''
|8\12, 331.034
|8\12, 331.034
|5\7, 352.941
|5\7, 352.941
| 7\9, 381.818
|7\9, 381.818
|-
|-
|'''3f'''
|'''2b, 2d'''
|2f
|'''7\11,''' '''323.077'''
|'''7\11,''' '''323.077'''
|'''5\8,''' '''315.789'''
|'''5\8,''' '''315.789'''
Line 858: Line 794:
|'''5\9,''' '''272.727'''
|'''5\9,''' '''272.727'''
|-
|-
|3
|2
|'''2'''
|8\11, 369.231
| 8\11, 369.231
|6\8, 378.947
|6\8, 378.947
|10\13, 387.098
|10\13, 387.097
|4\5, 400
|4\5, 400
|10\12, 413.793
|10\12, 413.793
Line 868: Line 803:
|8\9, 436.364
|8\9, 436.364
|-
|-
|3#
|2#
| 2#
|9\11, 415.385
| 9\11, 415.385
| rowspan="2" |7\8, 442.105
| rowspan="2" | 7\8, 442.105
|12\13, 464.516
| 12\13, 464.516
|5\5, 500
|5\5, 500
|13\12, 537.069
|13\12, 537.069
Line 878: Line 812:
|11\9, 600
|11\9, 600
|-
|-
|4f
|3b, 3d
|'''3f'''
|10\11, 461.538
|10\11, 461.538
|11\13, 425.806
|11\13, 425.806
|4\5, 400
|4\5, 400
|9\12, 372.414
|9\12, 372.414
| 5\7, 352.941
|5\7, 352.941
|6\9, 327.273
|6\9, 327.273
|-
|-
!4
!3
!3
!'''11\11,''' '''507.692'''
!'''11\11,''' '''507.692'''
!'''8\8,''' '''505.263'''
!'''8\8,''' '''505.263'''
!'''13\13,''' '''503.226'''
!'''13\13,''' '''503.226'''
! 5\5, 500
!5\5, 500
!'''12\12,''' '''496.552'''
!'''12\12,''' '''496.552'''
!'''7\7,''' '''494.118'''
!'''7\7,''' '''494.118'''
!'''9\9,''' '''490.909'''
!'''9\9,''' '''490.909'''
|-
|-
|4#
|3#
| 3#
|12\11, 553.846
|12\11, 553.846
| 9\8, 568.421
|9\8, 568.421
|15\13, 580.645
|15\13, 580.645
| rowspan="2" | 6\5, 600
| rowspan="2" |6\5, 600
| 15\12, 620.690
|15\12, 620.690
|9\7, 635.294
|9\7, 635.294
|12\9, 654.545
|12\9, 654.545
|-
|-
|5f
|4b, 4d
|4f
|14\11, 646.154
|14\11, 646.154
|10\8, 631.579
|10\8, 631.579
Line 916: Line 846:
|10\9, 545.455
|10\9, 545.455
|-
|-
|'''5'''
|'''4'''
|'''4'''
|'''15\11,''' '''692.308'''
|'''15\11,''' '''692.308'''
Line 926: Line 855:
|'''13\9,''' '''709.091'''
|'''13\9,''' '''709.091'''
|-
|-
|5#
|4#
|4#
|16\11, 738.462
|16\11, 738.462
Line 933: Line 861:
| rowspan="2" |'''8\5,''' '''800'''
| rowspan="2" |'''8\5,''' '''800'''
|20\12, 827.586
|20\12, 827.586
| 12\7, 847.059
|12\7, 847.059
|16\9, 872.727
|16\9, 872.727
|-
|-
|'''6f'''
|'''5b, 5d'''
|5f
|'''18\11,''' '''830.769'''
|'''18\11,''' '''830.769'''
|'''13\8,''' '''821.053'''
|'''13\8,''' '''821.053'''
Line 945: Line 872:
|'''14\9,''' '''763.636'''
|'''14\9,''' '''763.636'''
|-
|-
|6
|5
|'''5'''
|19\11, 876.923
|19\11, 876.923
|14\8, 884.211
|14\8, 884.211
Line 955: Line 881:
|17\9, 927.727
|17\9, 927.727
|-
|-
|6#
|5#
|5#
|20\11, 923.077
|20\11, 923.077
| rowspan="2" | 15\8, 947.368
| rowspan="2" |15\8, 947.368
|25\13, 967.742
|25\13, 967.742
|10\5, 1000
|10\5, 1000
Line 965: Line 890:
|20\9, 1090.909
|20\9, 1090.909
|-
|-
|7f
|6b, 6d
|'''6f'''
|21\11, 969.231
|21\11, 969.231
|24\13, 929.032
|24\13, 929.033
|9\5, 900
| 9\5, 900
|21\12, 868.966
|21\12, 868.966
|11\7, 776.471
|11\7, 776.471
|15\9, 818.182
|15\9, 818.182
|-
|-
!7
!6
!6
!22\11, 1015.385
!22\11, 1015.385
Line 984: Line 907:
!18\9, 981.818
!18\9, 981.818
|-
|-
|7#
|6#
|6#
|23\11, 1061.538
|23\11, 1061.538
Line 994: Line 916:
|21\9, 1145.455
|21\9, 1145.455
|-
|-
|8f
|7b, 7d
| 7f
| 25\11, 1153.846
|25\11, 1153.846
|18\8, 1136.842
|18\8, 1136.842
|29\13, 1122.581
|29\13, 1122.581
| 26\12, 1075.862
|26\12, 1075.862
|15\7, 1058.824
|15\7, 1058.824
|19\9, 1036.364
|19\9, 1036.364
|-
|-
|'''8'''
|'''7'''
|7
|'''26\11,''' '''1200'''
|'''26\11,''' '''1200'''
|'''19\8,''' '''1200'''
|'''19\8,''' '''1200'''
Line 1,013: Line 933:
|'''22\9,''' '''1200'''
|'''22\9,''' '''1200'''
|-
|-
|8#
|7#
|7#
|27\11, 1246.154
|27\11, 1246.154
Line 1,023: Line 942:
|25\9, 1363.636
|25\9, 1363.636
|-
|-
|'''9f'''
|'''8b, Gd'''
|8f
|'''29\11,''' '''1338.462'''
|'''29\11,''' '''1338.462'''
|'''21\8,''' '''1326.316'''
|'''21\8,''' '''1326.316'''
Line 1,032: Line 950:
|'''23\9,''' '''1254.545'''
|'''23\9,''' '''1254.545'''
|-
|-
|9
|8, G
|'''8'''
|30\11, 1384.615
|30\11, 1384.615
|22\8, 1389.474
|22\8, 1389.474
Line 1,042: Line 959:
|26\9, 1418.182
|26\9, 1418.182
|-
|-
|9#
|8#, G#
|8#
|31\11, 1430.769
| 31\11, 1430.769
| rowspan="2" |23\8, 1452.632
| rowspan="2" | 23\8, 1452.632
|38\13, 1470.968
|38\13, 1470.968
|15\5, 1500
|15\5, 1500
|37\12, 1531.034
|37\12, 1531.034
|22\7, 1552.941
|22\7, 1552.941
|29\9, 1581.818
| 29\9, 1581.818
|-
|-
|Af
|9b, Ad
|9f
|32\11, 1476.923
|32\11, 1476.923
| 37\13, 1432.258
|37\13, 1432.258
|14\5, 1400
|14\5, 1400
|33\12, 1365.517
|33\12, 1365.517
Line 1,061: Line 976:
|24\9, 1309.091
|24\9, 1309.091
|-
|-
!A
!'''9, A'''
!9
!33\11, 1523.077
!33\11, 1523.077
!24\8, 1515.789
!24\8, 1515.789
Line 1,071: Line 985:
!27\9, 1472.727
!27\9, 1472.727
|-
|-
|A#
|9#, A#
|9#
|34\11, 1569.231
|34\11, 1569.231
|25\8, 1578.947
| 25\8, 1578.947
|41\13, 1587.097
|41\13, 1587.097
| rowspan="2" |16\5, 1600
| rowspan="2" |16\5, 1600
Line 1,081: Line 994:
|30\9, 1636.364
|30\9, 1636.364
|-
|-
|Bf
|Xb, Bd
|Xb
|36\11, 1661.538
|36\11, 1661.538
|26\8, 1642.105
|26\8, 1642.105
|42\13, 1625.806
|42\13, 1625.806
|38\12, 1572.034
|38\12, 1572.034
|22\7, 1552.941
| 22\7, 1552.941
|28\9, 1527.{{Overline|27}}
|28\9, 1527.{{Overline|27}}
|-
|-
|'''B'''
|'''X, B'''
|'''X'''
|'''37\11,''' '''1707.692'''
|'''37\11,''' '''1707.692'''
|'''27\8,''' '''1705.263'''
|'''27\8,''' '''1705.263'''
Line 1,100: Line 1,011:
|'''31\9,''' '''1690.909'''
|'''31\9,''' '''1690.909'''
|-
|-
|B#
|X#, B#
|X#
|38\11, 1753.846
|38\11, 1753.846
|28\8, 1768.421
|28\8, 1768.421
Line 1,110: Line 1,020:
|34\9, 1854.545
|34\9, 1854.545
|-
|-
|'''Cf'''
|'''Eb, Dd'''
|'''ɛf'''
|'''40\11,''' '''1846.154'''
|'''40\11,''' '''1846.154'''
|'''29\8,''' '''1831.579'''
|'''29\8,''' '''1831.579'''
Line 1,119: Line 1,028:
|'''32\9,''' '''1745.455'''
|'''32\9,''' '''1745.455'''
|-
|-
|C
|E, D
|41\11, 1892.308
|41\11, 1892.308
|30\8, 1894.737
|30\8, 1894.737
Line 1,129: Line 1,037:
|35\9, 1909.090
|35\9, 1909.090
|-
|-
|C#
|E#, D#
#
|42\11, 1938.462
|42\11, 1938.462
| rowspan="2" |31\8, 1957.895
| rowspan="2" |31\8, 1957.895
Line 1,139: Line 1,046:
|38\9, 2072.727
|38\9, 2072.727
|-
|-
|Df
|0b, Ed
|Af
|43\11, 1984.615
|43\11, 1984.615
|50\13, 1935.484
|50\13, 1935.484
Line 1,148: Line 1,054:
|33\9, 1800
|33\9, 1800
|-
|-
!D
!0, E
!A
!44\11, 2030.769
!44\11, 2030.769
!32\8, 2021.053
!32\8, 2021.053
Line 1,157: Line 1,062:
!28\7, 1976.471
!28\7, 1976.471
!36\9, 1963.636
!36\9, 1963.636
|}
{| class="wikitable"
! Notation
!Supersoft
! Soft
!Semisoft
!Basic
!Semihard
!Hard
!Superhard
|-
|-
|D#
!Hyperionic
|A#
!~11ed4/3
|45\11, 2076.923
!~8ed4/3
|33\8, 2084.211
!~13ed4/3
| 54\13, 2090.323
!~5ed4/3
| rowspan="2" |21\5, 2100
!~12ed4/3
|51\12, 2110.345
!~7ed4\3
|30\7, 2117.647
!~9ed4/3
|39\9, 2127.273
|-
|-
|1#
|Ef
|1\11, 46.154
|Bf
|1\8, 63.158
|47\11, 2169.231
|2\13, 77.419
|34\8, 2147.368
| rowspan="2" |1\5, 100
|55\13, 2129.032
|3\12, 124.138
|50\12, 2068.966
|2\7, 141.176
|29\7, 2047.059
|3\9, 163.636
|37\9, 2018.182
|-
|-
|2f
|'''E'''
|3\11, 138.462
|'''B'''
|2\8, 126.316
|'''48\11,''' '''2215.385'''
|3\13, 116.129
|'''35\8,''' '''2210.526'''
|2\12, 82.759
|'''57\13,''' '''2206.452'''
| 1\7, 70.588
|'''22\5,''' '''2200'''
|1\9, 54.545
|'''53\12,''' '''2193.103'''
|-
|'''31\7,''' '''2188.235'''
|'''2'''
|'''40\9,''' '''2181.818'''
|'''4\11,''' '''184.615'''
|-
|'''3\8,''' '''189.474'''
|E#
|'''5\13,''' '''193.548'''
|B#
|'''2\5,''' '''200'''
|49\11, 2261.538
|'''5\12,''' '''206.897'''
|36\8, 2273.684
|'''3\7,''' '''211.765'''
|59\13, 2283.871
|'''4\9,''' '''218.182'''
|-
|2#
| 5\11, 230.769
|4\8, 252.632
|7\13, 270.967
| rowspan="2" |'''3\5,''' '''300'''
| 8\12, 331.034
|5\7, 352.941
|7\9, 381.818
|-
|'''3f'''
|'''7\11,''' '''323.077'''
|'''5\8,''' '''315.789'''
|'''8\13,''' '''309.677'''
|'''7\12,''' '''289.655'''
|'''4\7,''' '''282.353'''
|'''5\9,''' '''272.727'''
|-
|3
|8\11, 369.231
|6\8, 378.947
|10\13, 387.098
|4\5, 400
|10\12, 413.793
|6\7, 423.529
|8\9, 436.364
|-
|3#
|9\11, 415.385
| rowspan="2" |7\8, 442.105
|12\13, 464.516
|5\5, 500
|13\12, 537.069
|8\7, 564.705
|11\9, 600
|-
|4f
|10\11, 461.538
|11\13, 425.806
|4\5, 400
|9\12, 372.414
|5\7, 352.941
|6\9, 327.273
|-
!4
!'''11\11,''' '''507.692'''
!'''8\8,''' '''505.263'''
!'''13\13,''' '''503.226'''
!5\5, 500
!'''12\12,''' '''496.552'''
!'''7\7,''' '''494.118'''
!'''9\9,''' '''490.909'''
|-
|4#
|12\11, 553.846
|9\8, 568.421
|15\13, 580.645
| rowspan="2" |6\5, 600
|15\12, 620.690
|9\7, 635.294
|12\9, 654.545
|-
|5f
|14\11, 646.154
|10\8, 631.579
|16\13, 619.355
|14\12, 579.310
|8\7, 564.706
|10\9, 545.455
|-
|'''5'''
|'''15\11,''' '''692.308'''
|'''11\8'''  '''694.737'''
|'''18\13,''' '''696.774'''
|'''7\5,''' '''700'''
|'''17\12,''' '''703.448'''
|'''10\7,''' '''705.882'''
|'''13\9,''' '''709.091'''
|-
|5#
|16\11, 738.462
|12\8, 757.895
|20\13, 774.194
| rowspan="2" |'''8\5,''' '''800'''
|20\12, 827.586
|12\7, 847.059
|16\9, 872.727
|-
|'''6f'''
|'''18\11,''' '''830.769'''
|'''13\8,''' '''821.053'''
|'''21\13,''' '''812.903'''
|'''19\12,''' '''786.207'''
|'''11\7,''' '''776.471'''
|'''14\9,''' '''763.636'''
|-
|6
|19\11, 876.923
|14\8, 884.211
|23\13, 890.323
|9\5, 900
|22\12, 910.345
|13\7, 917.647
|17\9, 927.727
|-
|6#
|20\11, 923.077
| rowspan="2" |15\8, 947.368
|25\13, 967.742
|10\5, 1000
| 25\12, 1034.483
|15\7, 1058.824
|20\9, 1090.909
|-
|7f
|21\11, 969.231
|24\13, 929.032
|9\5, 900
|21\12, 868.966
| 11\7, 776.471
|15\9, 818.182
|-
!7
!22\11, 1015.385
!16\8, 1010.526
!26\13, 1006.452
!10\5, 1000
!24\12, 993.103
!14\7, 988.235
! 18\9, 981.818
|-
| 7#
|23\11, 1061.538
|17\8, 1073.684
|28\13, 1083.871
| rowspan="2" |11\5, 1100
|27\12, 1117.241
|16\7, 1129.412
|21\9, 1145.455
|-
|8f
|25\11, 1153.846
|18\8, 1136.842
|29\13, 1122.581
|26\12, 1075.862
|15\7, 1058.824
|19\9, 1036.364
|-
|'''8'''
|'''26\11,''' '''1200'''
|'''19\8,''' '''1200'''
|'''31\13,''' '''1200'''
|'''12\5,''' '''1200'''
|'''29\12,''' '''1200'''
|'''17\7,''' '''1200'''
|'''22\9,''' '''1200'''
|-
|8#
|27\11, 1246.154
|20\8, 1263.158
|33\13, 1277.419
| rowspan="2" |'''13\5,''' '''1300'''
|32\12, 1324.138
|19\7, 1341.176
|25\9, 1363.636
|-
|'''9f'''
|'''29\11,''' '''1338.462'''
|'''21\8,''' '''1326.316'''
|'''34\13,''' '''1316.129'''
|'''31\12,''' '''1282.759'''
|'''18\7,''' '''1270.588'''
|'''23\9,''' '''1254.545'''
|-
|9
|30\11, 1384.615
|22\8, 1389.474
| 36\13, 1393.548
|14\5, 1400
|34\12, 1406.897
|20\7, 1411.765
|26\9, 1418.182
|-
|9#
|31\11, 1430.769
| rowspan="2" |23\8, 1452.632
|38\13, 1470.968
|15\5, 1500
|37\12, 1531.034
|22\7, 1552.941
| 29\9, 1581.818
|-
|Af
|32\11, 1476.923
|37\13, 1432.258
|14\5, 1400
|33\12, 1365.517
|19\7, 1341.176
|24\9, 1309.091
|-
!A
!33\11, 1523.077
!24\8, 1515.789
!39\13, 1509.677
!15\5, 1500
!36\12, 1489.655
!21\7, 1482.353
!27\9, 1472.727
|-
|A#
|34\11, 1569.231
|25\8, 1578.947
|41\13, 1587.097
| rowspan="2" |16\5, 1600
|39\12, 1613.793
|23\7, 1623.529
|30\9, 1636.364
|-
|Bf
|36\11, 1661.538
|26\8, 1642.105
|42\13, 1625.806
|38\12, 1572.034
|22\7, 1552.941
|28\9, 1527.{{Overline|27}}
|-
|'''B'''
|'''37\11,''' '''1707.692'''
|'''27\8,''' '''1705.263'''
|'''44\13,''' '''1703.226'''
|'''17\5,''' '''1700'''
|'''41\12,''' '''1696.552'''
|'''24\7,''' '''1694.118'''
|'''31\9,''' '''1690.909'''
|-
|B#
| 38\11, 1753.846
|28\8, 1768.421
|46\13, 1780.645
| rowspan="2" |'''18\5,''' '''1800'''
|44\12, 1820.690
|26\7, 1835.294
| 34\9, 1854.545
|-
|'''Cf'''
|'''40\11,''' '''1846.154'''
|'''29\8,''' '''1831.579'''
|'''47\13,''' '''1819.355'''
|'''43\12,''' '''1779.310'''
|'''25\7,''' '''1764.706'''
|'''32\9,''' '''1745.455'''
|-
|C
| 41\11, 1892.308
|30\8, 1894.737
|49\13, 1896.774
|19\5, 1900
|46\12, 1903.448
|27\7, 1905.882
|35\9, 1909.090
|-
|C#
|42\11, 1938.462
| rowspan="2" |31\8, 1957.895
|51\13, 1974.194
|20\5, 2000
|49\12, 2027.586
|29\7, 2047.059
| 38\9, 2072.727
|-
|Df
|43\11, 1984.615
|50\13, 1935.484
|19\5, 1900
|45\12, 1862.069
|26\7, 1835.294
|33\9, 1800
|-
!D
!44\11, 2030.769
!32\8, 2021.053
! 52\13, 2012.903
!20\5, 2000
!48\12, 1986.207
!28\7, 1976.471
!36\9, 1963.636
|-
| D#
|45\11, 2076.923
|33\8, 2084.211
|54\13, 2090.323
| rowspan="2" |21\5, 2100
|51\12, 2110.345
|30\7, 2117.647
|39\9, 2127.273
|-
|Ef
|47\11, 2169.231
|34\8, 2147.368
|55\13, 2129.032
|50\12, 2068.966
|29\7, 2047.059
|37\9, 2018.182
|-
|'''E'''
|'''48\11,''' '''2215.385'''
|'''35\8,''' '''2210.526'''
|'''57\13,''' '''2206.452'''
|'''22\5,''' '''2200'''
|'''53\12,''' '''2193.103'''
|'''31\7,''' '''2188.235'''
|'''40\9,''' '''2181.818'''
|-
|E#
|49\11, 2261.538
|36\8, 2273.684
|59\13, 2283.871
| rowspan="2" |'''23\5,''' '''2300'''
|56\12, 2317.241
|33\7, 2329.412
|43\9, 2345.455
|-
|'''Ff'''
|'''51\11,''' '''2353.846'''
|'''37\8,''' '''2336.842'''
|'''61\13,''' '''2322.581'''
|'''55\12,''' '''2275.864'''
|'''32\7,''' '''2258.824'''
|'''41\9,''' '''2236.364'''
|-
|F
|52\11, 2400
|38\8, 2400
|62\13, 2400
|24\5, 2400
|58\12, 2400
|34\7, 2400
|44\9, 2400
|-
|F#
|53\11, 2446.154
| rowspan="2" |39\8, 2463.158
|64\13, 2477.419
|25\5, 2500
|61\12, 2524.138
|36\7, 2541.176
|47/9, 2563.636
|-
|1f
|54\11, 2492.308
|63\13, 2438.710
|24\5, 2400
|57\12, 2358.621
|33\7, 2329.412
|42\9, 2390.909
|-
!1
!55\11, 2538.462
!40\8, 2526.316
!65\13, 2516.129
!25\5, 2500
!60\12, 2482.759
!35\7, 2470.588
!45\9, 2454.545
|}
{| class="wikitable"
!Notation
!Supersoft
!Soft
!Semisoft
!Basic
!Semihard
!Hard
!Superhard
|-
!Subsextal
!~11ed4/3
!~8ed4/3
!~13ed4/3
!~5ed4/3
!~12ed4/3
!~7ed4\3
!~9ed4/3
|-
|0#
|1\11, 46.154
|1\8, 63.158
|2\13, 77.419
| rowspan="2" |1\5, 100
|3\12, 124.138
|2\7, 141.176
|3\9, 163.636
|-
|1f
|3\11, 138.462
|2\8, 126.316
|3\13, 116.129
|2\12, 82.759
|1\7, 70.588
|1\9, 54.545
|-
|'''1'''
|'''4\11,''' '''184.615'''
|'''3\8,''' '''189.474'''
|'''5\13,''' '''193.548'''
|'''2\5,''' '''200'''
|'''5\12,''' '''206.897'''
|'''3\7,''' '''211.765'''
|'''4\9,''' '''218.182'''
|-
|1#
|5\11, 230.769
|4\8, 252.632
|7\13, 270.967
| rowspan="2" |'''3\5,''' '''300'''
|8\12, 331.034
|5\7, 352.941
|7\9, 381.818
|-
|2f
|'''7\11,''' '''323.077'''
|'''5\8,''' '''315.789'''
|'''8\13,''' '''309.677'''
|'''7\12,''' '''289.655'''
|'''4\7,''' '''282.353'''
|'''5\9,''' '''272.727'''
|-
|'''2'''
|8\11, 369.231
|6\8, 378.947
|10\13, 387.098
|4\5, 400
|10\12, 413.793
|6\7, 423.529
|8\9, 436.364
|-
|2#
|9\11, 415.385
| rowspan="2" |7\8, 442.105
|12\13, 464.516
|5\5, 500
|13\12, 537.069
|8\7, 564.705
|11\9, 600
|-
|'''3f'''
|10\11, 461.538
|11\13, 425.806
|4\5, 400
|9\12, 372.414
|5\7, 352.941
|6\9, 327.273
|-
!3
!'''11\11,''' '''507.692'''
!'''8\8,''' '''505.263'''
!'''13\13,''' '''503.226'''
!5\5, 500
!'''12\12,''' '''496.552'''
!'''7\7,''' '''494.118'''
!'''9\9,''' '''490.909'''
|-
|3#
|12\11, 553.846
|9\8, 568.421
|15\13, 580.645
| rowspan="2" |6\5, 600
|15\12, 620.690
|9\7, 635.294
|12\9, 654.545
|-
|4f
|14\11, 646.154
|10\8, 631.579
|16\13, 619.355
|14\12, 579.310
|8\7, 564.706
|10\9, 545.455
|-
|'''4'''
|'''15\11,''' '''692.308'''
|'''11\8'''  '''694.737'''
|'''18\13,''' '''696.774'''
|'''7\5,''' '''700'''
|'''17\12,''' '''703.448'''
|'''10\7,''' '''705.882'''
|'''13\9,''' '''709.091'''
|-
|4#
|16\11, 738.462
|12\8, 757.895
|20\13, 774.194
| rowspan="2" |'''8\5,''' '''800'''
|20\12, 827.586
|12\7, 847.059
|16\9, 872.727
|-
|5f
|'''18\11,''' '''830.769'''
|'''13\8,''' '''821.053'''
|'''21\13,''' '''812.903'''
|'''19\12,''' '''786.207'''
|'''11\7,''' '''776.471'''
|'''14\9,''' '''763.636'''
|-
|'''5'''
|19\11, 876.923
|14\8, 884.211
|23\13, 890.323
|9\5, 900
|22\12, 910.345
|13\7, 917.647
|17\9, 927.727
|-
|5#
|20\11, 923.077
| rowspan="2" |15\8, 947.368
|25\13, 967.742
|10\5, 1000
|25\12, 1034.483
|15\7, 1058.824
|20\9, 1090.909
|-
|'''6f'''
|21\11, 969.231
|24\13, 929.032
|9\5, 900
|21\12, 868.966
|11\7, 776.471
|15\9, 818.182
|-
!6
!22\11, 1015.385
!16\8, 1010.526
!26\13, 1006.452
!10\5, 1000
!24\12, 993.103
!14\7, 988.235
!18\9, 981.818
|-
|6#
|23\11, 1061.538
|17\8, 1073.684
|28\13, 1083.871
| rowspan="2" |11\5, 1100
|27\12, 1117.241
|16\7, 1129.412
|21\9, 1145.455
|-
|7f
|25\11, 1153.846
|18\8, 1136.842
|29\13, 1122.581
|26\12, 1075.862
|15\7, 1058.824
|19\9, 1036.364
|-
|7
|'''26\11,''' '''1200'''
|'''19\8,''' '''1200'''
|'''31\13,''' '''1200'''
|'''12\5,''' '''1200'''
|'''29\12,''' '''1200'''
|'''17\7,''' '''1200'''
|'''22\9,''' '''1200'''
|-
|7#
|27\11, 1246.154
|20\8, 1263.158
|33\13, 1277.419
| rowspan="2" |'''13\5,''' '''1300'''
|32\12, 1324.138
|19\7, 1341.176
|25\9, 1363.636
|-
|8f
|'''29\11,''' '''1338.462'''
|'''21\8,''' '''1326.316'''
|'''34\13,''' '''1316.129'''
|'''31\12,''' '''1282.759'''
|'''18\7,''' '''1270.588'''
|'''23\9,''' '''1254.545'''
|-
|'''8'''
|30\11, 1384.615
|22\8, 1389.474
|36\13, 1393.548
|14\5, 1400
|34\12, 1406.897
|20\7, 1411.765
|26\9, 1418.182
|-
|8#
|31\11, 1430.769
| rowspan="2" |23\8, 1452.632
|38\13, 1470.968
|15\5, 1500
|37\12, 1531.034
|22\7, 1552.941
|29\9, 1581.818
|-
|9f
|32\11, 1476.923
|37\13, 1432.258
|14\5, 1400
|33\12, 1365.517
|19\7, 1341.176
|24\9, 1309.091
|-
!9
!33\11, 1523.077
!24\8, 1515.789
!39\13, 1509.677
!15\5, 1500
!36\12, 1489.655
!21\7, 1482.353
!27\9, 1472.727
|-
|9#
|34\11, 1569.231
|25\8, 1578.947
|41\13, 1587.097
| rowspan="2" |16\5, 1600
|39\12, 1613.793
|23\7, 1623.529
|30\9, 1636.364
|-
|Xb
|36\11, 1661.538
|26\8, 1642.105
|42\13, 1625.806
|38\12, 1572.034
|22\7, 1552.941
|28\9, 1527.{{Overline|27}}
|-
|'''X'''
|'''37\11,''' '''1707.692'''
|'''27\8,''' '''1705.263'''
|'''44\13,''' '''1703.226'''
|'''17\5,''' '''1700'''
|'''41\12,''' '''1696.552'''
|'''24\7,''' '''1694.118'''
|'''31\9,''' '''1690.909'''
|-
|X#
|38\11, 1753.846
|28\8, 1768.421
|46\13, 1780.645
| rowspan="2" |'''18\5,''' '''1800'''
|44\12, 1820.690
|26\7, 1835.294
|34\9, 1854.545
|-
|'''ɛf'''
|'''40\11,''' '''1846.154'''
|'''29\8,''' '''1831.579'''
|'''47\13,''' '''1819.355'''
|'''43\12,''' '''1779.310'''
|'''25\7,''' '''1764.706'''
|'''32\9,''' '''1745.455'''
|-
|41\11, 1892.308
|30\8, 1894.737
|49\13, 1896.774
|19\5, 1900
|46\12, 1903.448
|27\7, 1905.882
|35\9, 1909.090
|-
|ɛ#
|42\11, 1938.462
| rowspan="2" |31\8, 1957.895
|51\13, 1974.194
|20\5, 2000
|49\12, 2027.586
|29\7, 2047.059
|38\9, 2072.727
|-
|Af
|43\11, 1984.615
|50\13, 1935.484
|19\5, 1900
|45\12, 1862.069
|26\7, 1835.294
|33\9, 1800
|-
!A
!44\11, 2030.769
!32\8, 2021.053
!52\13, 2012.903
!20\5, 2000
!48\12, 1986.207
!28\7, 1976.471
!36\9, 1963.636
|-
|A#
|45\11, 2076.923
|33\8, 2084.211
|54\13, 2090.323
| rowspan="2" |21\5, 2100
|51\12, 2110.345
|30\7, 2117.647
|39\9, 2127.273
|-
|Bf
|47\11, 2169.231
|34\8, 2147.368
|55\13, 2129.032
|50\12, 2068.966
|29\7, 2047.059
|37\9, 2018.182
|-
|'''B'''
|'''48\11,''' '''2215.385'''
|'''35\8,''' '''2210.526'''
|'''57\13,''' '''2206.452'''
|'''22\5,''' '''2200'''
|'''53\12,''' '''2193.103'''
|'''31\7,''' '''2188.235'''
|'''40\9,''' '''2181.818'''
|-
|B#
|49\11, 2261.538
|36\8, 2273.684
|59\13, 2283.871
| rowspan="2" |'''23\5,''' '''2300'''
| rowspan="2" |'''23\5,''' '''2300'''
|56\12, 2317.241
|56\12, 2317.241
Line 1,197: Line 1,838:
|43\9, 2345.455
|43\9, 2345.455
|-
|-
|'''Ff'''
|'''Cf'''
|'''Cf'''
|'''51\11,''' '''2353.846'''
|'''51\11,''' '''2353.846'''
Line 1,206: Line 1,846:
|'''41\9,''' '''2236.364'''
|'''41\9,''' '''2236.364'''
|-
|-
|F
|C
|C
| 52\11, 2400
|52\11, 2400
|38\8, 2400
|38\8, 2400
|62\13, 2400
|62\13, 2400
|24\5, 2400
|24\5, 2400
| 58\12, 2400
|58\12, 2400
|34\7, 2400
|34\7, 2400
| 44\9, 2400
|44\9, 2400
|-
|-
|F#
|C#
|C#
|53\11, 2446.154
|53\11, 2446.154
Line 1,226: Line 1,864:
|47/9, 2563.636
|47/9, 2563.636
|-
|-
|1f
|Df
|Df
|54\11, 2492.308
|54\11, 2492.308
Line 1,235: Line 1,872:
|42\9, 2390.909
|42\9, 2390.909
|-
|-
! 1
!D
!D
!55\11, 2538.462
!55\11, 2538.462
!40\8, 2526.316
!40\8, 2526.316
! 65\13, 2516.129
!65\13, 2516.129
!25\5, 2500
!25\5, 2500
!60\12, 2482.759
!60\12, 2482.759
Line 1,245: Line 1,881:
!45\9, 2454.545
!45\9, 2454.545
|-
|-
|1#
|D#
|D#
|56\11, 2584.615
|56\11, 2584.615
Line 1,255: Line 1,890:
|48\9, 2618.182
|48\9, 2618.182
|-
|-
|2f
|Ef
|Ef
|58\11, 2676.923
|58\11, 2676.923
| 42\8, 2652.632
|42\8, 2652.632
|69\13, 2670.968
|69\13, 2670.968
|62\12, 2565.517
|62\12, 2565.517
Line 1,264: Line 1,898:
|46\9, 2509.091
|46\9, 2509.091
|-
|-
|'''2'''
|'''E'''
|'''E'''
|'''59\11,''' '''2723.077'''
|'''59\11,''' '''2723.077'''
Line 1,274: Line 1,907:
|'''49\9,''' '''2672.727'''
|'''49\9,''' '''2672.727'''
|-
|-
|2#
|E#
|E#
|60\11, 2769.231
|60\11, 2769.231
Line 1,284: Line 1,916:
|52\9, 2836.364
|52\9, 2836.364
|-
|-
|'''3f'''
|'''Ff'''
|'''Ff'''
|'''62\11,''' '''2861.538'''
|'''62\11,''' '''2861.538'''
Line 1,293: Line 1,924:
|'''50\9,''' '''2727.273'''
|'''50\9,''' '''2727.273'''
|-
|-
| 3
|F
|F
|63\11, 2907.692
|63\11, 2907.692
Line 1,303: Line 1,933:
|53\9, 2890.909
|53\9, 2890.909
|-
|-
|3#
|F#
|F#
|64\11, 2953.846
|64\11, 2953.846
Line 1,313: Line 1,942:
|55\9, 3000
|55\9, 3000
|-
|-
|4f
|0f
|0f
|65\11, 3000
|65\11, 3000
Line 1,322: Line 1,950:
|52\9, 2836.364
|52\9, 2836.364
|-
|-
!4
!0
!0
!66\11, 3046.154
!66\11, 3046.154
Line 1,332: Line 1,959:
!54\9, 2945.455
!54\9, 2945.455
|}
|}
==Intervals==
==Intervals==
{| class="wikitable"
{| class="wikitable"
Line 1,356: Line 1,985:
|perfect fourth
|perfect fourth
|-
|-
| 1
|1
|A/E/B mib
|A/E/B mib
Mib, Sib
Mib, Sib
Line 1,389: Line 2,018:


دb, صb
دb, صb
| diminished fourth
|diminished fourth
| -3
| -3
|F/C/G ut#
|F/C/G ut#
Line 1,488: Line 2,117:
!pattern
!pattern
!notation
!notation
! 2nd
!2nd
!3rd
!3rd
|-
|-
Line 1,520: Line 2,149:
[[Mapping]]: [{{val|1 0 1}}, {{val|0 2 1}}]
[[Mapping]]: [{{val|1 0 1}}, {{val|0 2 1}}]


[[Optimal ET sequence]]: ~([[5ed4/3]], [[8ed4/3]], [[13ed4/3]])
[[Optimal ET sequence]]: [[15ed12/5]], [[24ed12/5]], [[39ed12/5]] ≈ [[5ed4/3]], [[8ed4/3]], [[13ed4/3]]
==='''Mahuric-Superpyth'''===
==='''Mahuric-Superpyth'''===
[[Subgroup]]: 4/3.9/7.3/2
[[Subgroup]]: 4/3.9/7.3/2
Line 1,530: Line 2,159:
[[Mapping]]: [{{val|1 0 1}}, {{val|0 2 1}}]
[[Mapping]]: [{{val|1 0 1}}, {{val|0 2 1}}]


[[Optimal ET sequence]]: ~([[5ed4/3]], [[7ed4/3]], [[9ed4/3]], [[11ed4/3]])
[[Optimal ET sequence]]: [[15ed7/3]], [[21ed7/3]], [[27ed7/3]], [[33ed7/3]] ≈ [[5ed4/3]], [[7ed4/3]], [[9ed4/3]], [[11ed4/3]]
====Scale tree ====
====Scale tree====
The spectrum looks like this:
The spectrum looks like this:
{| class="wikitable"
{| class="wikitable"
Line 1,544: Line 2,173:
|1\3
|1\3
|171.429
|171.429
| 1
|1
|1
|1
|1.000
|1.000
Line 1,587: Line 2,216:
|185.915
|185.915
|11
|11
| 8
|8
|1.375
|1.375
|
|
|-
|-
|7\19
|7\19
| 186.667
|186.667
|7
|7
|5
|5
| 1.400
|1.400
|
|
|-
|-
Line 1,621: Line 2,250:
|3\8
|3\8
|189.474
|189.474
| 3
|3
|2
|2
|1.500
|1.500
| Mahuric-Meantone starts here
|Mahuric-Meantone starts here
|-
|-
|14\37
|14\37
|190.909
|190.909
| 14
|14
|9
|9
|1.556
|1.556
Line 1,636: Line 2,265:
|191.304
|191.304
|11
|11
| 7
|7
|1.571
|1.571
|
|
Line 1,648: Line 2,277:
|-
|-
|5\13
|5\13
| 193.548
|193.548
|5
|5
|3
|3
Line 1,677: Line 2,306:
|11\28
|11\28
|197.015
|197.015
| 11
|11
|6
|6
|1.833
|1.833
Line 1,691: Line 2,320:
|15\38
|15\38
|197.802
|197.802
| 15
|15
|8
|8
|1.875
|1.875
Line 1,753: Line 2,382:
|-
|-
|33\83
|33\83
| 198.995
|198.995
|33
|33
|17
|17
Line 1,760: Line 2,389:
|-
|-
|35\88
|35\88
| 199.052
|199.052
|35
|35
|18
|18
Line 1,817: Line 2,446:
|12\29
|12\29
|205.714
|205.714
| 12
|12
|5
|5
|2.400
|2.400
Line 1,880: Line 2,509:
|19\44
|19\44
|213.084
|213.084
| 19
|19
|6
|6
|3.167
|3.167
Line 1,990: Line 2,619:
|
|
|-
|-
| 1\2
|1\2
|240.000
|240.000
|1
|1
Line 2,025: Line 2,654:
[[10L 5s (88/21-equivalent)]] - Hyperionic Neogothic temperament
[[10L 5s (88/21-equivalent)]] - Hyperionic Neogothic temperament


[[10L 5s (32/15-equivalent)]] - Hyperionic Meantone temperament
[[10L 5s (64/15-equivalent)]] - Hyperionic Meantone temperament


[[10L 5s (30/7-equivalent)]] - Hyperionic septimal Meantone temperament
[[10L 5s (30/7-equivalent)]] - Hyperionic septimal Meantone temperament