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

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{| class="wikitable"
{| class="wikitable"
|+Cents<ref name=":05">Fractions repeating more than 4 digits written as continued fractions</ref>
|+Cents<ref name=":05">Fractions repeating more than 4 digits written as continued fractions</ref>
! colspan="5" |Notation
! colspan="2" |Notation
!Supersoft
!Supersoft
!Soft
!Soft
Line 18: Line 18:
!Hard
!Hard
!Superhard
!Superhard
|-
! colspan="2" |Diatonic
! rowspan="2" |Mahur
! rowspan="2" |Bijou
! rowspan="2" |Hyperionic
! rowspan="2" |~11ed4/3
! rowspan="2" |~8ed4/3
! rowspan="2" |~13ed4/3
! rowspan="2" |~5ed4/3
! rowspan="2" |~12ed4/3
! rowspan="2" |~7ed4\3
! rowspan="2" |~9ed4/3
|-
|-
!Fourth
!Fourth
!Seventh
!Seventh
!~11ed4/3
!~8ed4/3
!~13ed4/3
!~5ed4/3
!~12ed4/3
!~7ed4\3
!~9ed4/3
|-
|-
|Do#, Sol#
|Do#, Sol#
|Sol#
|Sol#
|G#
|0#, D#
|1#
|1\11
|1\11
46; 6.5
46; 6.5
Line 56: Line 48:
|Reb, Lab
|Reb, Lab
|Lab
|Lab
|Jf, Af
|1b, 1d
|2f
|3\11
|3\11
138; 3.25
138; 3.25
Line 74: Line 63:
|'''Re, La'''
|'''Re, La'''
|'''La'''
|'''La'''
|'''J, A'''
|'''1'''
|'''2'''
|'''4\11'''
|'''4\11'''
'''184; 1.625'''
'''184; 1.625'''
Line 94: Line 80:
|Re#, La#
|Re#, La#
|La#
|La#
|J#, A#
|1#
|2#
|5\11
|5\11
230; 1.3
230; 1.3
Line 114: Line 97:
|'''Mib, Sib'''
|'''Mib, Sib'''
|'''Sib'''
|'''Sib'''
|'''Af, Bf'''
|'''2b, 2d'''
|'''3f'''
|'''7\11'''
|'''7\11'''
'''323; 13'''
'''323; 13'''
Line 132: Line 112:
|Mi, Si
|Mi, Si
|Si
|Si
|A, B
|2
|3
|8\11
|8\11
369; 4.{{Overline|3}}
369; 4.{{Overline|3}}
Line 152: Line 129:
|Mi#, Si#
|Mi#, Si#
|Si#
|Si#
|A#, B#
|2#
|3#
|9\11
|9\11
415; 2.6
415; 2.6
Line 172: Line 146:
|Dob, Solb
|Dob, Solb
|Dob
|Dob
|Bb, Cf
|3b, 3d
|4f
|10\11
|10\11
461; 1, 1.1{{Overline|6}}
461; 1, 1.1{{Overline|6}}
Line 190: Line 161:
!Do, Sol
!Do, Sol
!Do
!Do
!B, C
!3
!4
!'''11\11'''
!'''11\11'''
'''507; 1.{{Overline|4}}'''
'''507; 1.{{Overline|4}}'''
Line 210: Line 178:
|Do#, Sol#
|Do#, Sol#
|Do#
|Do#
|B#, C#
|3#
|4#
|12\11
|12\11
553; 1.{{Overline|18}}
553; 1.{{Overline|18}}
Line 230: Line 195:
|Reb, Lab
|Reb, Lab
|Reb
|Reb
|Cf, Qf
|4b, 4d
|5f
|14\11
|14\11
646; 6.5
646; 6.5
Line 248: Line 210:
|'''Re, La'''
|'''Re, La'''
|'''Re'''
|'''Re'''
|'''C, Q'''
|'''4'''
|'''5'''
|'''15\11'''
|'''15\11'''
'''692; 3.25'''
'''692; 3.25'''
Line 268: Line 227:
|Re#, La#
|Re#, La#
|Re#
|Re#
|C#, Q#
|4#
|5#
|16\11
|16\11
738; 2.1{{Overline|6}}
738; 2.1{{Overline|6}}
Line 288: Line 244:
|'''Mib, Sib'''
|'''Mib, Sib'''
|'''Mib'''
|'''Mib'''
|'''Qf, Df'''
|'''5b, 5d'''
|'''6f'''
|'''18\11'''
|'''18\11'''
'''830; 1.3'''
'''830; 1.3'''
Line 306: Line 259:
|Mi, Si
|Mi, Si
|Mi
|Mi
|Q, D
|5
|6
|19\11
|19\11
876; 1.08{{Overline|3}}
876; 1.08{{Overline|3}}
Line 326: Line 276:
|Mi#, Si#
|Mi#, Si#
|Mi#
|Mi#
|Q#, D#
|20\11
|5#
|6#
|20\11
923: 13
923: 13
| rowspan="2" |15\8
| rowspan="2" |15\8
Line 346: Line 293:
|Dob, Solb
|Dob, Solb
|Solb
|Solb
|Df, Sf
|6b, 6d
|7f
|21\11
|21\11
969; 4.{{Overline|3}}
969; 4.{{Overline|3}}
Line 364: Line 308:
!Do, Sol
!Do, Sol
!Sol
!Sol
!D, S
!6
!7
!22\11
!22\11
1015; 2.6
1015; 2.6
Line 381: Line 322:
!18\9
!18\9
981.{{Overline|81}}
981.{{Overline|81}}
|}
{| class="wikitable"
! colspan="3" |Notation
!Supersoft
!Soft
!Semisoft
!Basic
!Semihard
!Hard
!Superhard
|-
|-
|Do#, Sol#
! rowspan="2" |Mahur
|Sol#
! rowspan="2" |Bijou
|D#, S#
! rowspan="2" |Hyperionic
|6#
! rowspan="2" |~11ed4/3
|7#
! rowspan="2" |~8ed4/3
|23\11
! rowspan="2" |~13ed4/3
1061; 1, 1.1{{Overline|6}}
! rowspan="2" |~5ed4/3
|17\8
! rowspan="2" |~12ed4/3
1073; 1, 2.1{{Overline|6}}
! rowspan="2" |~7ed4\3
|28\13
! rowspan="2" |~9ed4/3
1083; 1.{{Overline|148}}
|-
| rowspan="2" |11\5
 
1100
|27\12
1117; 4, 7
|16\7
1129; 2, 2.{{Overline|3}}
|24\9
1309.{{Overline|09}}
|-
|-
|Reb, Lab
|G#
|Lab
|0#, D#
|Ef
|1#
|7b, 7d
|1\11
|8f
46; 6.5
|25\11
|1\8
1153; 1.{{Overline|18}}
63; 6.{{Overline|3}}
|18\8
|2\13
1136; 1.1875
77; 2, 2.6
|29\13
| rowspan="2" |1\5
1122; 1.7{{Overline|2}}
100
|26\12
|3\12
1075; 1.16
124; 7.25
|15\7
|2\7
1058; 1, 4.{{Overline|6}}
141; 5.{{Overline|6}}
|19\9
|3\9
1036.{{Overline|36}}
163.{{Overline|63}}
|-
|-
|'''Re, La'''
|Jf, Af
|'''La'''
|1b, 1d
|'''E'''
|2f
|'''7'''
|3\11
|'''8'''
138; 3.25
|'''26\11'''
|2\8
'''1200'''
126; 3.1{{Overline|6}}
|'''19\8'''
|3\13
'''1200'''
116; 7.75
|'''31\13'''
|2\12
'''1200'''
82; 1.3{{Overline|18}}
|'''12\5'''
|1\7
'''1200'''
70; 1.7
|'''29\12'''
|1\9
'''1200'''
54.{{Overline|54}}
|'''17\7'''
|-
'''1200'''
|'''J, A'''
|'''22\9'''
|'''1'''
'''1200'''
|'''2'''
|'''4\11'''
'''184; 1.625'''
|'''3\8'''
'''189; 2.{{Overline|1}}'''
|'''5\13'''
'''193; 1, 1, 4.{{Overline|6}}'''
|'''2\5'''
'''200'''
|'''5\12'''
'''206; 1, 8.{{Overline|6}}'''
|'''3\7'''
'''211; 1, 3.25'''
|'''4\9'''
'''218.{{Overline|18}}'''
|-
|-
|Re#, La#
|J#, A#
|La#
|1#
|E#
|2#
|7#
|5\11
|8#
230; 1.3
|27\11
|4\8
1246; 6,5
252; 1.58{{Overline|3}}
|20\8
|7\13
1263; 6.{{Overline|3}}
270; 1.0{{Overline|3}}
|33\13
| rowspan="2" |'''3\5'''
1277; 2, 2.6
'''300'''
| rowspan="2" |'''13\5'''
|8\12
'''1300'''
331; 29
|32\12
|5\7
1324; 7.25
352; 1.0625
|19\7
|7\9
1341; 5.{{Overline|6}}
381.{{Overline|81}}
|25\9
1363.{{Overline|63}}
|-
|-
|'''Mib, Sib'''
|'''Af, Bf'''
|'''Sib'''
|'''2b, 2d'''
|'''Ff'''
|'''3f'''
|'''8b, Fd'''
|'''7\11'''
|'''9f'''
'''323; 13'''
|'''29\11'''
|'''5\8'''
'''1338; 3.25'''
'''315; 1.2{{Overline|6}}'''
|'''21\8'''
|'''8\13'''
'''1326; 3.16̄'''
'''309; 1, 2.1'''
|'''34\13'''
|'''7\12'''
'''1316; 7.75'''
'''289; 1, 1.9'''
|'''31\12'''
|'''4\7'''
'''1282; 1.3{{Overline|18}}'''
'''282; 2.8{{Overline|3}}'''
|'''18\7'''
|'''5\9'''
'''1270; 1.7'''
'''272.{{Overline|72}}'''
|'''23\9'''
'''1254.{{Overline|54}}'''
|-
|-
|Mi, Si
|A, B
|Si
|2
|F
|3
|8, F
|8\11
|9
369; 4.{{Overline|3}}
|30\11
|6\8
1384; 1.625
378; 1.0{{Overline|5}}
|22\8
|10\13
1389; 2.1̄
387; 10.{{Overline|3}}
|36\13
|4\5
1393; 1, 1, 4.{{Overline|6}}
400
|14\5
|10\12
1400
413; 1, 3.8{{Overline|3}}
|34\12
|6\7
1406; 1, 8.{{Overline|6}}
423; 1.{{Overline|8}}
|20\7
|8\9
1411; 1, 3.25
436.{{Overline|36}}
|26\9
1418.{{Overline|18}}
|-
|-
|Mi#, Si#
|A#, B#
|Si#
|2#
|F#
|3#
|8#, F#
|9\11
|9#
415; 2.6
|31\11
| rowspan="2" |7\8
1430; 1.3
442; 9.5
| rowspan="2" |23\8
|12\13
1452; 1.58{{Overline|3}}
464; 1.9375
|38\13
|5\5
1470; 1.0{{Overline|3}}
500
|15\5
|13\12
1500
537; 14.5
|37\12
|8\7
1531; 29
564; 1.41{{Overline|6}}
|22\7
|11\9
1552; 1.0625
600
|29\9
1581.{{Overline|81}}
|-
|-
|Dob, Solb
|Bb, Cf
|Dob
|3b, 3d
|Gf
|4f
|9b, Gd
|10\11
|Af
461; 1, 1.1{{Overline|6}}
|32\11
|11\13
1476; 1.08{{Overline|3}}
425; 1.24
|37\13
|4\5
1432: 3.875
400
|14\5
|9\12
1400
372; 2.41{{Overline|6}}
|33\12
|5\7
1365; 1.9{{Overline|3}}
352; 1.0625
|19\7
|6\9
1341; 5.{{Overline|3}}
327.{{Overline|27}}
|24\9
1309.{{Overline|09}}
|-
|-
!Do, Sol
!B, C
!Do
!3
!G
!4
!'''9, G'''
!'''11\11'''
!A
'''507; 1.{{Overline|4}}'''
!33\11
!'''8\8'''
1523; 13
'''505; 3.8'''
!24\8
!'''13\13'''
1515; 1.2{{Overline|6}}
'''503; 4, 2.{{Overline|3}}'''
!39\13
!'''5\5'''
1509; 1, 2.1
'''500'''
!15\5
!'''12\12'''
1500
'''496; 1.8125'''
!36\12
!'''7\7'''
1489; 1, 1.9
'''494; 8.5'''
!21\7
!'''9\9'''
1482; 2.8{{Overline|3}}
'''490.{{Overline|90}}'''
!27\9
1472.{{Overline|72}}
|-
|-
|Do#, Sol#
|B#, C#
|Do#
|3#
|G#
|4#
|9#, G#
|12\11
|A#
553; 1.{{Overline|18}}
|34\11
|9\8
1569; 4.{{Overline|3}}
568; 2.375
|25\8
|15\13
1578; 1.05̄
580; 1.55
|41\13
| rowspan="2" |6\5
1587; 10.{{Overline|3}}
600
| rowspan="2" |16\5
|15\12
1600
620; 1.45
|39\12
|9\7
1613; 1, 3.8{{Overline|3}}
635; 3.4
|23\7
|12\9
1623; 1.{{Overline|8}}
654.{{Overline|54}}
|30\9
|-
1636.{{Overline|36}}
|Cf, Qf
|4b, 4d
|5f
|14\11
646; 6.5
|10\8
631; 1.{{Overline|72}}
|16\13
619; 2.{{Overline|81}}
|14\12
579; 3.{{Overline|2}}
|8\7
564; 1.41{{Overline|6}}
|10\9
545.{{Overline|45}}
|-
|-
|Reb, Lab
|'''C, Q'''
|Reb
|'''4'''
|Jf, Af
|'''5'''
|Xb, Ad
|'''15\11'''
|Bf
'''692; 3.25'''
|36\11
|'''11\8'''
1661; 1, 1.1{{Overline|6}}
'''694; 1, 2.8'''
|26\8
|'''18\13'''
1642; 9.5
'''696; 1.291{{Overline|6}}'''
|42\13
|'''7\5'''
1625; 1.24
'''700'''
|38\12
|'''17\12'''
1572; 29
'''703; 2, 2.1{{Overline|6}}'''
|22\7
|'''10\7'''
1552; 1.0625
'''705; 1.1{{Overline|3}}'''
|28\9
|'''13\9'''
1527.{{Overline|27}}
'''709.{{Overline|09}}'''
|-
|-
|'''Re, La'''
|C#, Q#
|'''Re'''
|4#
|'''J, A'''
|5#
|'''X, A'''
|16\11
|'''B'''
738; 2.1{{Overline|6}}
|'''37\11'''
|12\8
'''1707; 1.{{Overline|4}}'''
757; 1, 8.5
|'''27\8'''
|20\13
'''1705; 3.8'''
774; 5.1{{Overline|6}}
|'''44\13'''
| rowspan="2" |'''8\5'''
'''1703; 4, 2.3̄'''
'''800'''
|'''17\5'''
|20\12
 
827; 1, 1.41{{Overline|6}}
'''1700'''
|12\7
|'''41\12'''
847; 17
'''1696; 1.8125'''
|16\9
|'''24\7'''
872.{{Overline|72}}
'''1694; 8.5'''
|-
|'''31\9'''
|'''Qf, Df'''
'''1690.{{Overline|90}}'''
|'''5b, 5d'''
|'''6f'''
|'''18\11'''
'''830; 1.3'''
|'''13\8'''
'''821; 19'''
|'''21\13'''
'''812; 1, 9.{{Overline|3}}'''
|'''19\12'''
'''786; 4.8{{Overline|3}}'''
|'''11\7'''
'''776; 2.125'''
|'''14\9'''
'''763.{{Overline|63}}'''
|-
|-
|Re#, La#
|Q, D
|Re#
|5
|J#, A#
|6
|X#, A#
|19\11
|B#
876; 1.08{{Overline|3}}
|38\11
|14\8
1753; 1.{{Overline|18}}
884; 4.75
|28\8
|23\13
1768; 2.375
890; 3.1
|46\13
|9\5
1780; 1.55
900
| rowspan="2" |'''18\5'''
|22\12
'''1800'''
910; 2.9
|44\12
|13\7
1820; 1.45
917; 1.{{Overline|54}}
|26\7
|17\9
1835; 3,4
927.{{Overline|27}}
|34\9
1854.{{Overline|54}}
|-
|-
|'''Mib, Sib'''
|Q#, D#
|'''Mib'''
|5#
|'''Af, Bf'''
|6#
|'''Eb, Bd'''
|20\11
|'''Cf'''
923: 13
|'''40\11'''
| rowspan="2" |15\8
'''1846; 6.5'''
947; 2, 1.4
|'''29\8'''
|25\13
 
967; 1, 2.875
'''1831; 1.{{Overline|72}}'''
|10\5
|'''47\13'''
1000
'''1819; 2.{{Overline|81}}'''
|25\12
|'''43\12'''
1034; 2, 14
'''1779; 3.{{Overline|2}}'''
|15\7
|'''25\7'''
1058; 1, 4.{{Overline|6}}
'''1764; 1, 3.25'''
|20\9
|'''32\9'''
1090.{{Overline|90}}
'''1745.{{Overline|45}}'''
|-
|-
|Mi, Si
|Df, Sf
|Mi
|6b, 6d
|A, B
|7f
|E, B
|21\11
|C
969; 4.{{Overline|3}}
|41\11
|24\13
1892; 3.25
929; 31
|30\8
|9\5
1894; 1, 2.8
900
|49\13
|21\12
1896; 1.291{{Overline|6}}
868; 1, 28
|19\5
|11\7
1900
776; 2.125
|46\12
|15\9
1903; 2, 2.1{{Overline|6}}
818.{{Overline|18}}
|27\7
1905; 1, 7.5
|35\9
1909.{{Overline|09}}
|-
|-
|Mi#, Si#
!D, S
|Mi#
!6
|A#, B#
!7
|E#, B#
!22\11
|C#
1015; 2.6
|42\11
!16\8
1938; 2.1{{Overline|6}}
1010; 1.9
| rowspan="2" |31\8
!26\13
1957; 1, 8.5
1006; 2, 4.{{Overline|6}}
|51\13
!10\5
1974; 5.1{{Overline|6}}
1000
|20\5
!24\12
2000
993; 9.{{Overline|6}}
|49\12
!14\7
2027; 1, 1.41{{Overline|6}}
988; 4.25
|29\7
!18\9
2047; 17
981.{{Overline|81}}
|38\9
2072.{{Overline|72}}
|-
|-
|Dob, Solb
|D#, S#
|Solb
|6#
|Bb, Cf
|7#
|0b, Dd
|23\11
|Df
1061; 1, 1.1{{Overline|6}}
|43\15
|17\8
1984; 1.625
1073; 1, 2.1{{Overline|6}}
|50\13
|28\13
1935; 2.0{{Overline|6}}
1083; 1.{{Overline|148}}
|19\5
| rowspan="2" |11\5
1900
1100
|45\12
|27\12
1862; 14.5
1117; 4, 7
|26\7
|16\7
1835; 3,4
1129; 2, 2.{{Overline|3}}
|33\9
|24\9
1800
1309.{{Overline|09}}
|-
|-
!Do, Sol
|Ef
!Sol
|7b, 7d
!B, C
|8f
!0, D
|25\11
!D
1153; 1.{{Overline|18}}
!44\11
|18\8
2030; 1.3
1136; 1.1875
!32\8
|29\13
 
1122; 1.7{{Overline|2}}
2021; 19
|26\12
!52\13
1075; 1.16
2012; 1, 9.{{Overline|3}}
|15\7
!20\5
1058; 1, 4.{{Overline|6}}
2000
|19\9
!48\12
1036.{{Overline|36}}
1986; 4.8{{Overline|3}}
!28\7
1976; 2.125
!36\9
1963.{{Overline|63}}
|-
|-
|Do#, Sol#
|'''E'''
|Sol#
|'''7'''
|B#, C#
|'''8'''
|0#, D#
|'''26\11'''
|D#
'''1200'''
|45\11
|'''19\8'''
2076; 1.08{{Overline|3}}
'''1200'''
|33\8
|'''31\13'''
2084; 4.75
'''1200'''
|54\13
|'''12\5'''
2090; 3.1
'''1200'''
| rowspan="2" |21\5
|'''29\12'''
2100
'''1200'''
|51\12
|'''17\7'''
2110; 2.9
'''1200'''
|30\7
|'''22\9'''
2117; 1.{{Overline|54}}
'''1200'''
|39\9
2127.{{Overline|27}}
|-
|-
|Reb, Lab
|E#
|Lab
|7#
|Cf, Qf
|8#
|1b, 1d
|27\11
|Ef
1246; 6,5
|47\11
|20\8
2169; 4.{{Overline|3}}
1263; 6.{{Overline|3}}
|34\8
|33\13
2147; 2, 1.4
1277; 2, 2.6
|55\13
| rowspan="2" |'''13\5'''
2129; 31
'''1300'''
|50\12
|32\12
2068; 1, 28
1324; 7.25
|29\7
|19\7
2047; 17
1341; 5.{{Overline|6}}
|37\9
|25\9
2018.{{Overline|18}}
1363.{{Overline|63}}
|-
|-
|'''Re, La'''
|'''Ff'''
|'''La'''
|'''8b, Fd'''
|'''C, Q'''
|'''9f'''
|'''1'''
|'''29\11'''
|'''E'''
'''1338; 3.25'''
|'''48\11'''
|'''21\8'''
'''2215; 2.6'''
'''1326; 3.16̄'''
|'''35\8'''
|'''34\13'''
'''2210; 1.9'''
'''1316; 7.75'''
|'''57\13'''
|'''31\12'''
'''2206; 2, 4.{{Overline|6}}'''
'''1282; 1.3{{Overline|18}}'''
|'''22\5'''
|'''18\7'''
'''2200'''
'''1270; 1.7'''
|'''53\12'''
|'''23\9'''
'''2193; 9.{{Overline|6}}'''
'''1254.{{Overline|54}}'''
|'''31\7'''
'''2188; 4.25'''
|'''40\9'''
'''2181.{{Overline|81}}'''
|-
|-
|Re#, La#
|F
|La#
|8, F
|C#, Q#
|9
|1#
|30\11
|E#
1384; 1.625
|49\11
|22\8
2261; 1, 1.1{{Overline|6}}
1389; 2.1̄
|36\8
|36\13
2273; 1, 2.1{{Overline|6}}
1393; 1, 1, 4.{{Overline|6}}
|59\13
|14\5
2083; 1.{{Overline|148}}
1400
| rowspan="2" |'''23\5'''
|34\12
'''2300'''
1406; 1, 8.{{Overline|6}}
|56\12
|20\7
2327; 4, 7
1411; 1, 3.25
|33\7
|26\9
2329; 2, 2.{{Overline|3}}
1418.{{Overline|18}}
|43\9
2345.{{Overline|45}}
|-
|-
|'''Mib, Sib'''
|F#
|'''Sib'''
|8#, F#
|'''Qf, Df'''
|9#
|'''2b, 2d'''
|31\11
|'''Ff'''
1430; 1.3
|'''51\11'''
| rowspan="2" |23\8
'''2353; 1.{{Overline|18}}'''
1452; 1.58{{Overline|3}}
|'''37\8'''
|38\13
'''2336; 1.1875'''
1470; 1.0{{Overline|3}}
|'''61\13'''
|15\5
'''2322; 1.7{{Overline|2}}'''
1500
|'''55\12'''
|37\12
'''2275; 1.16'''
1531; 29
|'''32\7'''
|22\7
'''2258; 1, 4.{{Overline|6}}'''
1552; 1.0625
|'''41\9'''
|29\9
'''2236.{{Overline|36}}'''
1581.{{Overline|81}}
|-
|-
|Mi, Si
|Gf
|Si
|9b, Gd
|Q, D
|Af
|2
|32\11
|F
1476; 1.08{{Overline|3}}
|52\11
|37\13
2400
1432: 3.875
|38\8
|14\5
2400
1400
|62\13
|33\12
2400
1365; 1.9{{Overline|3}}
|24\5
|19\7
2400
1341; 5.{{Overline|3}}
|58\12
|24\9
2400
1309.{{Overline|09}}
|34\7
|-
2400
!G
|44\9
!'''9, G'''
2400
!A
!33\11
1523; 13
!24\8
1515; 1.2{{Overline|6}}
!39\13
1509; 1, 2.1
!15\5
1500
!36\12
1489; 1, 1.9
!21\7
1482; 2.8{{Overline|3}}
!27\9
1472.{{Overline|72}}
|-
|-
|Mi#, Si#
|G#
|Si#
|9#, G#
|Q#, D#
|A#
|2#
|34\11
|F#
1569; 4.{{Overline|3}}
|53\11
|25\8
2446; 6.5
1578; 1.05̄
| rowspan="2" |39\8
|41\13
2463; 6.{{Overline|3}}
1587; 10.{{Overline|3}}
|64\13
| rowspan="2" |16\5
2477; 2, 2.6
1600
|25\5
|39\12
2500
1613; 1, 3.8{{Overline|3}}
|61\12
|23\7
2524; 7.25
1623; 1.{{Overline|8}}
|36\7
|30\9
2541; 5.{{Overline|6}}
1636.{{Overline|36}}
|47/9
2563.{{Overline|63}}
|-
|-
|Dob, Solb
|Jf, Af
|Dob
|Xb, Ad
|Df, Sf
|Bf
|3b, 3d
|36\11
|1f
1661; 1, 1.1{{Overline|6}}
|54\11
|26\8
2492; 3.25
1642; 9.5
|63\13
|42\13
2438; 1.1{{Overline|36}}
1625; 1.24
|24\5
|38\12
2400
1572; 29
|57\12
|22\7
2358; 1.61̄
1552; 1.0625
|33\7
|28\9
2329; 2, 2.{{Overline|3}}
1527.{{Overline|27}}
|42\9
2390.{{Overline|90}}
|-
|-
!Do, Sol
|'''J, A'''
!Do
|'''X, A'''
!D, S
|'''B'''
!3
|'''37\11'''
!1
'''1707; 1.{{Overline|4}}'''
!55\11
|'''27\8'''
2538; 2.1{{Overline|6}}
'''1705; 3.8'''
!40\8
|'''44\13'''
2526; 3.1{{Overline|6}}
'''1703; 4, 2.3̄'''
!65\13
|'''17\5'''
2516; 7.75
 
!25\5
'''1700'''
2500
|'''41\12'''
!60\12
'''1696; 1.8125'''
2482; '''1.3{{Overline|18}}'''
|'''24\7'''
!35\7
'''1694; 8.5'''
2470; 1.7
|'''31\9'''
!45\9
'''1690.{{Overline|90}}'''
2454.{{Overline|54}}
|}
==Intervals==
{| class="wikitable"
!Generators
!Fourth notation
!Interval category name
!Generators
!Notation of 4/3 inverse
!Interval category name
|-
|-
| colspan="6" |The 3-note MOS has the following intervals (from some root):
|J#, A#
|-
|X#, A#
|0
|B#
|Do, Sol
|38\11
|perfect unison
1753; 1.{{Overline|18}}
|0
|28\8
|Do, Sol
1768; 2.375
|perfect fourth
|46\13
1780; 1.55
| rowspan="2" |'''18\5'''
'''1800'''
|44\12
1820; 1.45
|26\7
1835; 3,4
|34\9
1854.{{Overline|54}}
|-
|-
|1
|'''Af, Bf'''
|Mib, Sib
|'''Eb, Bd'''
|diminished third
|'''Cf'''
| -1
|'''40\11'''
|Re, La
'''1846; 6.5'''
|perfect second
|'''29\8'''
|-
 
|2
'''1831; 1.{{Overline|72}}'''
|Reb, Lab
|'''47\13'''
|diminished second
'''1819; 2.{{Overline|81}}'''
| -2
|'''43\12'''
|Mi, Si
'''1779; 3.{{Overline|2}}'''
|perfect third
|'''25\7'''
'''1764; 1, 3.25'''
|'''32\9'''
'''1745.{{Overline|45}}'''
|-
|-
| colspan="6" |The chromatic 5-note MOS also has the following intervals (from some root):
|A, B
|-
|E, B
|3
|C
|Dob, Solb
|41\11
|diminished fourth
1892; 3.25
| -3
|30\8
|Do#, Sol#
1894; 1, 2.8
|augmented unison (chroma)
|49\13
1896; 1.291{{Overline|6}}
|19\5
1900
|46\12
1903; 2, 2.1{{Overline|6}}
|27\7
1905; 1, 7.5
|35\9
1909.{{Overline|09}}
|-
|-
|4
|A#, B#
|Mibb, Sibb
|E#, B#
|doubly diminished third
|C#
| -4
|42\11
|Re#, La#
1938; 2.1{{Overline|6}}
|augmented second
| rowspan="2" |31\8
|}
1957; 1, 8.5
==Genchain==
|51\13
The generator chain for this scale is as follows:
1974; 5.1{{Overline|6}}
{| class="wikitable"
|20\5
|Mibb
2000
Sibb
|49\12
|Dob
2027; 1, 1.41{{Overline|6}}
Solb
|29\7
|Reb
2047; 17
Lab
|38\9
|Mib
2072.{{Overline|72}}
Sib
|Do
Sol
|Re
La
|Mi
Si
|Do#
Sol#
|Re#
La#
|Mi#
Si#
|-
|-
|dd3
|Bb, Cf
|d4
|0b, Dd
|d2
|Df
|d3
|43\15
|P1
1984; 1.625
|P2
|50\13
|P3
1935; 2.0{{Overline|6}}
|A1
|19\5
|A2
1900
|A3
|45\12
|}
1862; 14.5
==Modes==
|26\7
The mode names are based on the species of fourth:
1835; 3,4
{| class="wikitable"
|33\9
!Mode
1800
!Scale
|-
![[Modal UDP Notation|UDP]]
!B, C
! colspan="2" |Interval type
!0, D
!D
!44\11
2030; 1.3
!32\8
 
2021; 19
!52\13
2012; 1, 9.{{Overline|3}}
!20\5
2000
!48\12
1986; 4.8{{Overline|3}}
!28\7
1976; 2.125
!36\9
1963.{{Overline|63}}
|-
|-
!name
|B#, C#
!pattern
|0#, D#
!notation
|D#
!2nd
|45\11
!3rd
2076; 1.08{{Overline|3}}
|33\8
2084; 4.75
|54\13
2090; 3.1
| rowspan="2" |21\5
2100
|51\12
2110; 2.9
|30\7
2117; 1.{{Overline|54}}
|39\9
2127.{{Overline|27}}
|-
|-
|Major
|Cf, Qf
|LLs
|1b, 1d
|<nowiki>2|0</nowiki>
|Ef
|P
|47\11
|P
2169; 4.{{Overline|3}}
|-
|34\8
|Minor
2147; 2, 1.4
|LsL
|55\13
|<nowiki>1|1</nowiki>
2129; 31
|P
|50\12
|d
2068; 1, 28
|29\7
2047; 17
|37\9
2018.{{Overline|18}}
|-
|-
|Phrygian
|'''C, Q'''
|LsLL
|'''1'''
|<nowiki>0|2</nowiki>
|'''E'''
|d
|'''48\11'''
|d
'''2215; 2.6'''
|}
|'''35\8'''
==Temperaments==
'''2210; 1.9'''
The most basic rank-2 temperament interpretation of diatonic is '''Mahuric'''. The name "Mahuric" comes from the “Mahur” scale in Persian and Arabic music. The major triad is spelled <code>root-2g-(p+g)</code> (p = 4/3, g = the whole tone) and approximates 4:5:6 in pental interpretations or 14:18:21 in septimal ones. Basic ~5ed4/3 fits both interpretations.
|'''57\13'''
==='''Mahuric-Meantone'''===
'''2206; 2, 4.{{Overline|6}}'''
[[Subgroup]]: 4/3.5/4.3/2
|'''22\5'''
 
'''2200'''
[[Comma]] list: [[81/80]]
|'''53\12'''
 
'''2193; 9.{{Overline|6}}'''
[[POL2]] generator: ~9/8 = 193.6725
|'''31\7'''
 
'''2188; 4.25'''
[[Mapping]]: [{{val|1 0 1}}, {{val|0 2 1}}]
|'''40\9'''
 
'''2181.{{Overline|81}}'''
[[Optimal ET sequence]]: ~(5ed4/3, 8ed4/3, 13ed4/3)
|-
==='''Mahuric-Superpyth'''===
|C#, Q#
[[Subgroup]]: 4/3.9/7.3/2
|1#
 
|E#
[[Comma]] list: [[64/63]]
|49\11
 
2261; 1, 1.1{{Overline|6}}
[[POL2]] generator: ~8/7 = 216.7325
|36\8
 
2273; 1, 2.1{{Overline|6}}
[[Mapping]]: [{{val|1 0 1}}, {{val|0 2 1}}]
|59\13
 
2083; 1.{{Overline|148}}
[[Optimal ET sequence]]: ~(5ed4/3, 7ed4/3, 9ed4/3, 11ed4/3)
| rowspan="2" |'''23\5'''
====Scale tree====
'''2300'''
The spectrum looks like this:
|56\12
{| class="wikitable"
2327; 4, 7
! colspan="3" |Generator
|33\7
(bright)
2329; 2, 2.{{Overline|3}}
!Cents<ref name=":05" />
|43\9
!L
2345.{{Overline|45}}
!s
!L/s
!Comments
|-
|-
|1\3
|'''Qf, Df'''
|
|'''2b, 2d'''
|
|'''Ff'''
|171; 2.{{Overline|3}}
|'''51\11'''
|1
'''2353; 1.{{Overline|18}}'''
|1
|'''37\8'''
|1.000
'''2336; 1.1875'''
|Equalised
|'''61\13'''
'''2322; 1.7{{Overline|2}}'''
|'''55\12'''
'''2275; 1.16'''
|'''32\7'''
'''2258; 1, 4.{{Overline|6}}'''
|'''41\9'''
'''2236.{{Overline|36}}'''
|-
|-
|6\17
|Q, D
|
|2
|
|F
|180
|52\11
|6
2400
|5
|38\8
|1.200
2400
|
|62\13
2400
|24\5
2400
|58\12
2400
|34\7
2400
|44\9
2400
|-
|-
|
|Q#, D#
|11\31
|2#
|
|F#
|180; 1.21{{Overline|6}}
|53\11
|11
2446; 6.5
|9
| rowspan="2" |39\8
|1.222
2463; 6.{{Overline|3}}
|
|64\13
2477; 2, 2.6
|25\5
2500
|61\12
2524; 7.25
|36\7
2541; 5.{{Overline|6}}
|47/9
2563.{{Overline|63}}
|-
|-
|5\14
|Df, Sf
|
|3b, 3d
|
|1f
|181.{{Overline|81}}
|54\11
|5
2492; 3.25
|4
|63\13
|1.250
2438; 1.1{{Overline|36}}
|
|24\5
|-
2400
|
|57\12
|14\39
2358; 1.61̄
|
|33\7
|182; 1, 1.5
2329; 2, 2.{{Overline|3}}
|14
|42\9
|11
2390.{{Overline|90}}
|1.273
|
|-
|-
|
!D, S
|9\25
!3
|
!1
|183; 19.{{Overline|6}}
!55\11
|9
2538; 2.1{{Overline|6}}
|7
!40\8
|1.286
2526; 3.1{{Overline|6}}
|
!65\13
2516; 7.75
!25\5
2500
!60\12
2482; '''1.3{{Overline|18}}'''
!35\7
2470; 1.7
!45\9
2454.{{Overline|54}}
|}
==Intervals==
{| class="wikitable"
!Generators
!Fourth notation
!Interval category name
!Generators
!Notation of 4/3 inverse
!Interval category name
|-
|-
|4\11
| colspan="6" |The 3-note MOS has the following intervals (from some root):
|
|
|184; 1.625
|4
|3
|1.333
|
|-
|-
|
|0
|15\41
|Do, Sol
|
|perfect unison
|185; 1.7{{Overline|63}}
|0
|15
|Do, Sol
|11
|perfect fourth
|1.364
|
|-
|-
|
|1
|11\30
|Mib, Sib
|
|diminished third
|185, 1, 10.8{{Overline|3}}
| -1
|11
|Re, La
|8
|perfect second
|1.375
|
|-
|-
|
|2
|7\19
|Reb, Lab
|
|diminished second
|186.{{Overline|6}}
| -2
|7
|Mi, Si
|5
|perfect third
|1.400
|
|-
|-
|
| colspan="6" |The chromatic 5-note MOS also has the following intervals (from some root):
|10\27
|
|187.5
|10
|7
|1.429
|
|-
|-
|
|3
|13\35
|Dob, Solb
|
|diminished fourth
|187; 1, 19.75
| -3
|13
|Do#, Sol#
|9
|augmented unison (chroma)
|1.444
|
|-
|-
|
|4
|16\43
|Mibb, Sibb
|
|doubly diminished third
|188; 4.25
| -4
|16
|Re#, La#
|11
|augmented second
|1.4545
|}
|
==Genchain==
|-
The generator chain for this scale is as follows:
|3\8
{| class="wikitable"
|
|Mibb
|
Sibb
|189; 2.{{Overline|1}}
|Dob
|3
Solb
|2
|Reb
|1.500
Lab
|Mahuric-Meantone starts here
|Mib
Sib
|Do
Sol
|Re
La
|Mi
Si
|Do#
Sol#
|Re#
La#
|Mi#
Si#
|-
|-
|
|dd3
|17\45
|d4
|
|d2
|190; 1, 1.{{Overline|12}}
|d3
|17
|P1
|11
|P2
|1.5455
|P3
|
|A1
|A2
|A3
|}
==Modes==
The mode names are based on the species of fourth:
{| class="wikitable"
!Mode
!Scale
![[Modal UDP Notation|UDP]]
! colspan="2" |Interval type
|-
!name
!pattern
!notation
!2nd
!3rd
|-
|-
|
|Major
|14\37
|LLs
|
|<nowiki>2|0</nowiki>
|190.{{Overline|90}}
|P
|14
|P
|9
|1.556
|
|-
|-
|
|Minor
|11\29
|LsL
|
|<nowiki>1|1</nowiki>
|191; 3, 2.{{Overline|3}}
|P
|11
|d
|7
|1.571
|
|-
|-
|Phrygian
|LsLL
|<nowiki>0|2</nowiki>
|d
|d
|}
==Temperaments==
The most basic rank-2 temperament interpretation of diatonic is '''Mahuric'''. The name "Mahuric" comes from the “Mahur” scale in Persian and Arabic music. The major triad is spelled <code>root-2g-(p+g)</code> (p = 4/3, g = the whole tone) and approximates 4:5:6 in pental interpretations or 14:18:21 in septimal ones. Basic ~5ed4/3 fits both interpretations.
==='''Mahuric-Meantone'''===
[[Subgroup]]: 4/3.5/4.3/2
[[Comma]] list: [[81/80]]
[[POL2]] generator: ~9/8 = 193.6725¢
[[Mapping]]: [{{val|1 0 1}}, {{val|0 2 1}}]
[[Optimal ET sequence]]: ~(5ed4/3, 8ed4/3, 13ed4/3)
==='''Mahuric-Superpyth'''===
[[Subgroup]]: 4/3.9/7.3/2
[[Comma]] list: [[64/63]]
[[POL2]] generator: ~8/7 = 216.7325¢
[[Mapping]]: [{{val|1 0 1}}, {{val|0 2 1}}]
[[Optimal ET sequence]]: ~(5ed4/3, 7ed4/3, 9ed4/3, 11ed4/3)
====Scale tree====
The spectrum looks like this:
{| class="wikitable"
! colspan="3" |Generator
(bright)
!Cents<ref name=":05" />
!L
!s
!L/s
!Comments
|-
|1\3
|
|
|
|8\21
|171; 2.{{Overline|3}}
|
|1
|192
|1
|8
|1.000
|5
|Equalised
|1.600
|
|-
|
|
|13\34
|192.{{Overline|592}}
|13
|8
|1.625
|
|-
|
|5\13
|
|193; 1, 1, 4.{{Overline|6}}
|5
|3
|1.667
|
|-
|-
|6\17
|
|
|
|
|12\31
|180
|194.{{Overline|594}}
|6
|12
|5
|7
|1.200
|1.714
|
|
|-
|-
|
|
|7\18
|11\31
|
|
|195; 2.8{{Overline|6}}
|180; 1.21{{Overline|6}}
|7
|11
|4
|9
|1.750
|1.222
|
|
|-
|-
|5\14
|
|
|9\23
|
|
|196.{{Overline|36}}
|181.{{Overline|81}}
|9
|5
|5
|1.800
|4
|1.250
|
|
|-
|-
|
|
|11\28
|14\39
|
|
|197; 67
|182; 1, 1.5
|14
|11
|11
|6
|1.273
|1.833
|
|
|-
|-
|
|
|13\33
|9\25
|
|
|197; 2.{{Overline|135}}
|183; 19.{{Overline|6}}
|13
|9
|7
|7
|1.857
|1.286
|
|
|-
|-
|4\11
|
|
|15\38
|
|
|197; 1, 2, 1, 1.{{Overline|54}}
|184; 1.625
|15
|4
|8
|3
|1.875
|1.333
|
|
|-
|-
|
|
|17\43
|15\41
|
|
|198; 17.1{{Overline|6}}
|185; 1.7{{Overline|63}}
|17
|15
|9
|11
|1.889
|1.364
|
|
|-
|-
|
|
|19\48
|11\30
|
|
|198: 3, 1, 28
|185, 1, 10.8{{Overline|3}}
|19
|11
|10
|8
|1.900
|1.375
|
|
|-
|-
|
|
|21\53
|7\19
|
|
|198; 2.3{{Overline|518}}
|186.{{Overline|6}}
|21
|7
|11
|5
|1.909
|1.400
|
|
|-
|-
|
|
|23\58
|10\27
|
|
|198; 1, 3, 1.7
|187.5
|23
|10
|12
|7
|1.917
|1.429
|
|
|-
|-
|
|
|25\63
|13\35
|
|
|198; 1, 2, 12.25
|187; 1, 19.75
|25
|13
|13
|1.923
|9
|1.444
|
|
|-
|-
|
|
|27\68
|16\43
|
|
|198; 1, 3.{{Overline|405}}
|188; 4.25
|27
|16
|14
|11
|1.929
|1.4545
|
|
|-
|-
|3\8
|
|
|29\73
|
|198; 1, 1.1{{Overline|6}}
|29
|15
|1.933
|
|
|189; 2.{{Overline|1}}
|3
|2
|1.500
|Mahuric-Meantone starts here
|-
|-
|
|
|31\78
|14\37
|
|
|198; 1, 12, 2.8
|190.{{Overline|90}}
|31
|14
|16
|9
|1.9375
|1.556
|
|
|-
|-
|
|
|33\83
|11\29
|
|
|198; 1.{{Overline|005}}
|191; 3, 2.{{Overline|3}}
|33
|11
|17
|7
|1.941
|1.571
|
|
|-
|-
|
|
|35\88
|8\21
|
|
|199; 19.{{Overline|18}}
|192
|35
|8
|18
|5
|1.944
|1.600
|
|
|-
|-
|2\5
|
|
|5\13
|
|
|200
|193; 1, 1, 4.{{Overline|6}}
|2
|5
|1
|3
|2.000
|1.667
|Mahuric-Meantone ends, Mahuric-Pythagorean begins
|-
|
|17\42
|
|201.{{Overline|9801}}
|17
|8
|2.125
|
|
|-
|-
|
|
|15\37
|
|
|202; 4.0{{Overline|45}}
|12\31
|15
|194.{{Overline|594}}
|12
|7
|7
|2.143
|1.714
|
|
|-
|-
|
|
|13\32
|7\18
|
|
|202; 1, 1, 2.0{{Overline|6}}
|195; 2.8{{Overline|6}}
|13
|7
|6
|4
|2.167
|1.750
|
|
|-
|-
|
|
|11\27
|9\23
|
|
|203; 13
|196.{{Overline|36}}
|11
|9
|5
|5
|2.200
|1.800
|
|
|-
|-
|
|
|9\22
|11\28
|
|
|203; 1, 3.41{{Overline|6}}
|197; 67
|9
|11
|4
|6
|2.250
|1.833
|
|
|-
|-
|
|
|7\17
|13\33
|
|
|204; 1. 7.2
|197; 2.{{Overline|135}}
|13
|7
|7
|3
|1.857
|2.333
|
|
|-
|-
|
|
|15\38
|
|
|12\29
|197; 1, 2, 1, 1.{{Overline|54}}
|205; 1.4
|15
|12
|8
|5
|1.875
|2.400
|
|
|-
|-
|
|
|17\43
|
|
|17\41
|198; 17.1{{Overline|6}}
|206.{{Overline|06}}
|17
|17
|7
|9
|2.429
|1.889
|
|
|-
|-
|
|
|5\12
|19\48
|
|198: 3, 1, 28
|19
|10
|1.900
|
|
|206; 1, 8.{{Overline|6}}
|5
|2
|2.500
|Mahuric-Neogothic heartland is from here…
|-
|-
|
|
|21\53
|
|
|18\43
|198; 2.3{{Overline|518}}
|207; 1.{{Overline|4}}
|21
|18
|11
|7
|1.909
|2.571
|
|
|-
|-
|
|
|23\58
|
|
|13\31
|198; 1, 3, 1.7
|208
|23
|13
|12
|5
|1.917
|2.600
|
|
|-
|-
|
|
|8\19
|25\63
|
|
|208; 1.4375
|198; 1, 2, 12.25
|8
|25
|3
|13
|2.667
|1.923
|…to here
|-
|
|11\26
|
|209; 1.{{Overline|90}}
|11
|4
|2.750
|
|
|-
|-
|
|
|14\33
|27\68
|
|
|210
|198; 1, 3.{{Overline|405}}
|27
|14
|14
|5
|1.929
|2.800
|
|
|-
|-
|
|
|17\40
|29\73
|
|
|210; 3.2{{Overline|3}}
|198; 1, 1.1{{Overline|6}}
|17
|29
|6
|15
|2.833
|1.933
|
|
|-
|-
|
|
|20\47
|31\78
|
|
|210; 1.9
|198; 1, 12, 2.8
|20
|31
|7
|16
|2.857
|1.9375
|
|
|-
|-
|
|
|23\54
|33\83
|
|
|210; 1.4{{Overline|5}}
|198; 1.{{Overline|005}}
|23
|33
|8
|17
|2.875
|1.941
|
|
|-
|-
|
|
|26\61
|35\88
|
|
|210.{{Overline|810}}
|199; 19.{{Overline|18}}
|26
|35
|9
|18
|2.889
|1.944
|
|
|-
|-
|3\7
|2\5
|
|
|
|
|211; 1, 3.25
|200
|3
|2
|1
|1
|3.000
|2.000
|Mahuric-Pythagorean ends, Mahuric-Superpyth begins
|Mahuric-Meantone ends, Mahuric-Pythagorean begins
|-
|-
|
|
|22\51
|17\42
|
|
|212; 1, 9.{{Overline|3}}
|201.{{Overline|9801}}
|22
|17
|7
|8
|3.143
|2.125
|
|
|-
|-
|
|
|19\44
|15\37
|
|
|213; 11.{{Overline|8}}
|202; 4.0{{Overline|45}}
|19
|15
|6
|7
|3.167
|2.143
|
|
|-
|-
|
|
|16\37
|13\32
|
|
|213.3̄
|202; 1, 1, 2.0{{Overline|6}}
|16
|13
|5
|6
|3.200
|2.167
|
|
|-
|-
|
|
|13\30
|11\27
|
|
|213; 1, 2.3{{Overline|18}}
|203; 13
|13
|11
|4
|5
|3.250
|2.200
|
|
|-
|-
|
|
|10\23
|9\22
|
|
|214; 3.5
|203; 1, 3.41{{Overline|6}}
|10
|9
|3
|4
|3.333
|2.250
|
|
|-
|-
|
|
|7\16
|7\17
|
|
|215; 2.6
|204; 1. 7.2
|7
|7
|2
|3
|3.500
|2.333
|
|
|-
|-
|
|
|
|
|18\41
|12\29
|216
|205; 1.4
|18
|12
|5
|5
|3.600
|2.400
|
|
|-
|-
|
|
|11\25
|5\12
|
|216; 2.541{{Overline|6}}
|11
|3
|3.667
|
|
|206; 1, 8.{{Overline|6}}
|5
|2
|2.500
|Mahuric-Neogothic heartland is from here…
|-
|-
|
|
|15\34
|
|
|216; 1.152{{Overline|7}}
|18\43
|15
|207; 1.{{Overline|4}}
|4
|18
|3.750
|7
|2.571
|
|
|-
|-
|
|
|19\43
|
|
|217; 7
|13\31
|19
|208
|13
|5
|5
|3.800
|2.600
|
|
|-
|-
|
|
|23\52
|8\19
|
|217; 3, 10.25
|23
|6
|3.833
|
|
|208; 1.4375
|8
|3
|2.667
|…to here
|-
|-
|4\9
|
|
|11\26
|
|
|218.{{Overline|18}}
|209; 1.{{Overline|90}}
|11
|4
|4
|1
|2.750
|4.000
|
|
|-
|-
|
|
|17\38
|14\33
|
|
|219; 1, 2.{{Overline|90}}
|210
|17
|14
|4
|5
|4.250
|2.800
|
|
|-
|-
|3\7
|
|
|13\29
|
|
|219; 1, 2.55
|211; 1, 3.25
|13
|3
|3
|4.333
|1
|
|3.000
|Mahuric-Pythagorean ends, Mahuric-Superpyth begins
|-
|-
|
|
|9\20
|22\51
|
|
|220; 2.45
|212; 1, 9.{{Overline|3}}
|9
|22
|2
|7
|4.500
|3.143
|
|
|-
|-
|
|
|14\31
|19\44
|
|
|221; 19
|213; 11.{{Overline|8}}
|14
|19
|3
|6
|4.667
|3.167
|
|
|-
|-
|
|
|19\42
|16\37
|
|
|221; 2.{{Overline|783}}
|213.3̄
|19
|16
|4
|5
|4.750
|3.200
|
|
|-
|-
|5\11
|
|
|13\30
|
|213; 1, 2.3{{Overline|18}}
|13
|4
|3.250
|
|
|222.{{Overline|2}}
|5
|1
|5.000
|Mahuric-Superpyth ends
|-
|-
|
|
|16\35
|10\23
|
|
|223; 3.{{Overline|90}}
|214; 3.5
|16
|10
|3
|3
|5.333
|3.333
|
|
|-
|-
|
|
|11\24
|7\16
|
|215; 2.6
|7
|2
|3.500
|
|-
|
|11\25
|
|
|223; 1, 2.6875
|216; 2.541{{Overline|6}}
|11
|11
|2
|3
|5.500
|3.667
|
|-
|
|15\34
|
|
|-
|216; 1.152{{Overline|7}}
|
|15
|17\37
|4
|
|3.750
|224; 5.7{{Overline|2}}
|
|17
|-
|3
|
|5.667
|19\43
|
|
|-
|217; 7
|6\13
|19
|
|5
|
|3.800
|225
|
|6
|-
|1
|4\9
|6.000
|
|
|
|-
|218.{{Overline|18}}
|1\3
|4
|
|1
|
|4.000
|240
|
|1
|-
|0
|
|→ inf
|13\29
|Paucitonic
|
|}
|219; 1, 2.55
|13
|3
|4.333
|
|-
|
|9\20
|
|220; 2.45
|9
|2
|4.500
|
|-
|
|14\31
|
|221; 19
|14
|3
|4.667
|
|-
|5\11
|
|
|222.{{Overline|2}}
|5
|1
|5.000
|Mahuric-Superpyth ends
|-
|
|11\24
|
|223; 1, 2.6875
|11
|2
|5.500
|
|-
|
|17\37
|
|224; 5.7{{Overline|2}}
|17
|3
|5.667
|
|-
|6\13
|
|
|225
|6
|1
|6.000
|
|-
|1\3
|
|
|240
|1
|0
|→ inf
|Paucitonic
|}
 
== See also ==
[[2L 1s (4/3-equivalent)]] - idealized tuning
 
[[4L 2s (7/4-equivalent)]] - Mixolydian Archytas temperament
 
[[4L 2s (39/22-equivalent)]] - Mixolydian Neogothic temperament
 
[[4L 2s (9/5-equivalent)]] - Mixolydian Meantone temperament
 
[[6L 3s (7/3-equivalent)]] - Mahuric-Archytas temperament
 
[[6L 3s (26/11-equivalent)]] - Mahuric-Neogothic temperament
 
[[6L 3s (12/5-equivalent)]] - Mahuric-Meantone temperament
 
[[8L 4s (28/9-equivalent)]] - Bijou Archytas temperament
 
[[8L 4s (22/7-equivalent)]] - Bijou Neogothic temperament
 
[[8L 4s (16/5-equivalent)]] - Bijou Meantone temperament
 
[[10L 5s (112/27-equivalent)]] - Hyperionic Archytas temperament
 
[[10L 5s (88/21-equivalent)]] - Hyperionic Neogothic temperament


== See also ==
[[10L 5s (30/7-equivalent)]] - Hyperionic Meantone temperament<references />
[[2L 1s (4/3-equivalent)]] - idealized tuning<references />
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/2L_1s_(perfect_fourth-equivalent)"