User:Moremajorthanmajor/9L 4s (7/2-equivalent): Difference between revisions

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|1\35
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|2\57
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100
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116; 7, 1, 3
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82; 1, 3, 7
82; 1, 3, 7
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189; 2, 9
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193; 1, 1, 4, 1, 2
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200
200
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|4\35
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252; 1, 1, 1, 2, 2
252; 1, 1, 1, 2, 2
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270; 1, 30
| rowspan="2" |3\22
| rowspan="2" |3\22
300
300
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|5\35
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315; 1, 3, 1, 3
315; 1, 3, 1, 3
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|8\57
309; 1, 2, 10
|7\53
|7\53
289; 1, 1, 1, 9
289; 1, 1, 1, 9
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|6\35
|6\35
378; 1, 18
378; 1, 18
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|10\57
387; 10, 3
|4\22
|4\22
400
400
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| rowspan="2" |7\35
| rowspan="2" |7\35
442; 9, 2
442; 9, 2
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|12\57
464; 1, 1, 15
|5\22
|5\22
500
500
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|10\48
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461; 1, 1, 6
461; 1, 1, 6
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|11\57
425; 1, 4, 6
|4\22
|4\22
400
400
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|'''8\35'''
|'''8\35'''
'''505; 3, 1, 4'''
'''505; 3, 1, 4'''
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|'''13\57'''
'''503; 4, 2, 3'''
|'''5\22'''
|'''5\22'''
'''500'''
'''500'''
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|9\35
|9\35
568; 2, 2, 1, 2
568; 2, 2, 1, 2
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|15\57
580; 1, 1, 4, 2
| rowspan="2" |6\22
| rowspan="2" |6\22
600
600
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|10\35
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631; 1, 1, 2, 1, 2
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|16\57
619; 2, 4, 2
|14\53
|14\53
579; 9, 1, 2
579; 9, 1, 2
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|11\35
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694; 1, 2, 1, 4
694; 1, 2, 1, 4
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|18\57
696; 1, 3, 2, 3
|7\22
|7\22
700
700
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|12\35
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757; 1, 8, 2
757; 1, 8, 2
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|20\57
774; 5, 6
| rowspan="2" |8\22
| rowspan="2" |8\22
800
800
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|13\35
|13\35
821; 19
821; 19
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|21\57
812; 1, 9, 3
|19\53
|19\53
786; 4, 1, 5
786; 4, 1, 5
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|14\35
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884; 4, 1, 3
884; 4, 1, 3
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|23\57
890; 3, 10
|9\22
|9\22
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900
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|15\35
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947; 2, 1, 2, 2
947; 2, 1, 2, 2
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|25\57
967; 1, 2, 1, 7
| rowspan="2" |10\22
| rowspan="2" |10\22
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1000
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1010; 1, 1, 9
1010; 1, 1, 9
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1006; 2, 4, 1, 2
|24\53
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993: 9, 1, 2
993: 9, 1, 2
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|17\35
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1073; 1, 2, 6
1073; 1, 2, 6
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1083; 1, 6, 1, 3
|11\22
|11\22
1100
1100
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| rowspan="2" |18\35
| rowspan="2" |18\35
1136; 1, 5, 3
1136; 1, 5, 3
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|30\57
1161; 3, 2, 4
|12\22
|12\22
1200
1200
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|25\48
|25\48
1153; 1, 5, 2
1153; 1, 5, 2
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1122; 1, 1, 2, 1, 1
|11\22
|11\22
1100
1100
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1200
1200
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1200
|12\22
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1200
1200
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1263: 6, 3
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1277; 2, 2, 1, 1
| rowspan="2" |13\22
| rowspan="2" |13\22
1300
1300
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|21\35
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1326; 3, 6
1326; 3, 6
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1316; 7, 1, 3
|31\53
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1282; 1, 3, 7
1282; 1, 3, 7
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1393; 1, 1, 4, 1, 2
|14\22
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1400
1400
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1470; 1, 30
| rowspan="2" |15\22
| rowspan="2" |15\22
1500
1500
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1515; 1, 3, 1, 3
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1509; 1, 2, 10
|36\53
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1389; 1, 1, 1, 9
1389; 1, 1, 1, 9
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1578; 1, 18
1578; 1, 18
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1587; 10, 3
|16\22
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1600
1600
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1664; 1, 1, 15
|17\22
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1700
1700
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1661; 1, 1, 6
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1625; 1, 4, 6
|16\22
|16\22
1600
1600
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|'''27\35'''
|'''27\35'''
'''1705; 3, 1, 4'''
'''1705; 3, 1, 4'''
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'''1703; 4, 2, 3'''
|'''17\22'''
|'''17\22'''
'''1700'''
'''1700'''
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1780; 1, 1, 4, 2
| rowspan="2" |18\22
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1800
1800
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1831; 1, 1, 2, 1, 2
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1819; 2, 4, 2
|43\53
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1779; 9, 1, 2
1779; 9, 1, 2
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1894; 1, 2, 1, 4
1894; 1, 2, 1, 4
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1896; 1, 3, 2, 3
|19\22
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1900
1900
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1957; 1, 8, 2
1957; 1, 8, 2
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1974; 5, 6
| rowspan="2" |20\22
| rowspan="2" |20\22
2000
2000
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2021; 19
2021; 19
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2012; 1, 9, 3
|48\53
|48\53
1986; 4, 1, 5
1986; 4, 1, 5
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2084; 4, 1, 3
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2090; 3, 10
|21\22
|21\22
2100
2100
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| rowspan="2" |34\35
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2147; 2, 1, 2, 2
2147; 2, 1, 2, 2
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|56\57
2167; 1, 2, 1, 7
|22\22
|22\22
2200
2200
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2169; 4, 3
2169; 4, 3
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2129; 31
|21\22
|21\22
2100
2100
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!35\35
!35\35
2210; 1, 1, 9
2210; 1, 1, 9
!
!57\57
2206; 2, 4, 1, 2
!22\22
!22\22
2200
2200
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| rowspan="2" |1\22
| rowspan="2" |1\22
''100''
''100''
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|3\53
''124; 1, 1, 8, 3''
|2\31
|2\31
''141; 1, 14, 2''
''141; 1, 14, 2''
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''125; 1, 2, 2''
''125; 1, 2, 2''
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|
|
|2\53
''83; 53''
|1\31
|1\31
''70; 1, 30''
''70; 1, 30''
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|2\22
|2\22
''200''
''200''
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|5\53
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|3\31
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''212; 1, 9, 3''
''212; 1, 9, 3''
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''300''
''300''
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|8\53
''332; 13, 4''
|5\31
|5\31
''354; 1, 5, 5''
''354; 1, 5, 5''
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''314; 3, 2''
''314; 3, 2''
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|
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|7\53
''290; 1, 1, 3, 3, 2''
|4\31
|4\31
''283; 1, 6, 1, 3''
''283; 1, 6, 1, 3''
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|4\22
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''400''
''400''
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|10\53
''415; 10, 1, 1, 2''
|6\31
|6\31
''425; 1, 4, 6''
''425; 1, 4, 6''
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|5\22
|5\22
''500''
''500''
|
|13\53
''539; 1, 1, 1, 1, 1, 6''
|8\31
|8\31
''567; 1, 2, 1, 7''
''567; 1, 2, 1, 7''
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|4\22
|4\22
''400''
''400''
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|9\53
''373; 1, 1, 2, 2, 4''
|5\31
|5\31
''354; 1, 5, 5''
''354; 1, 5, 5''
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|'''5\22'''
|'''5\22'''
'''''500'''''
'''''500'''''
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|'''12\53'''
'''''498; 8, 1, 5'''''
|'''7\31'''
|'''7\31'''
'''''496; 1, 3, 2, 3'''''
'''''496; 1, 3, 2, 3'''''
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| rowspan="2" |6\22
| rowspan="2" |6\22
''600''
''600''
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|15\53
''622; 1, 1, 1, 3, 1, 3''
|9\31
|9\31
''638; 1, 2, 2, 4''
''638; 1, 2, 2, 4''
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''628; 1, 1, 3''
''628; 1, 1, 3''
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|
|
|14\53
''581; 7, 1, 1, 3''
|8\31
|8\31
''567; 1, 2, 1, 7''
''567; 1, 2, 1, 7''
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|7\22
|7\22
''700''
''700''
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|17\53
''705; 1, 1, 1, 17''
|10\31
|10\31
''709; 1, 2, 10''
''709; 1, 2, 10''
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| rowspan="2" |8\22
| rowspan="2" |8\22
''800''
''800''
|
|20\53
''830; 5, 3, 3''
|12\31
|12\31
''851; 1, 1, 1, 1, 2, 2''
''851; 1, 1, 1, 1, 2, 2''
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''817; 7''
''817; 7''
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|
|
|19\53
''788; 1, 2, 8, 2''
|11\31
|11\31
''780; 1, 1, 1, 4, 2''
''780; 1, 1, 1, 4, 2''
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|9\22
|9\22
''900''
''900''
|
|22\53
''913; 4, 1, 4, 2''
|13\31
|13\31
''922; 1, 1, 2, 1, 1, 2''
''922; 1, 1, 2, 1, 1, 2''
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| rowspan="2" |10\22
| rowspan="2" |10\22
''1000''
''1000''
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|25\53
''1037; 1, 2, 1, 3, 1, 2''
|15\31
|15\31
''1064; 1, 1, 15''
''1064; 1, 1, 15''
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''1005; 1, 2, 2''
''1005; 1, 2, 2''
|
|
|
|24\53
''996: 4, 2, 2, 2''
|14\31
|14\31
''993; 1, 1, 4, 1, 2''
''993; 1, 1, 4, 1, 2''
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|11\22
|11\22
''1100''
''1100''
|
|27\53
''1130; 1, 3, 13''
|16\31
|16\31
''1135; 2, 15''
''1135; 2, 15''
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|12\22
|12\22
''1200''
''1200''
|
|30\29
''1245; 3, 1, 1, 7''
|15\31
|15\31
''1064; 1, 1, 15''
''1064; 1, 1, 15''
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|11\22
|11\22
''1100''
''1100''
|
|26\53
''1079; 4, 13''
|18\31
|18\31
''1277; 2, 3, 1, 2''
''1277; 2, 3, 1, 2''
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|12\22
|12\22
''1200''
''1200''
|
|29\53
''1203; 1, 3, 2, 2, 2''
|17\31
|17\31
''1206; 2, 3, 1, 2''
''1206; 2, 3, 1, 2''
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| rowspan="2" |13\22
| rowspan="2" |13\22
''1300''
''1300''
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|32\53
''1328; 3, 3, 5''
|18\31
|18\31
''1277; 2, 3, 1, 2''
''1277; 2, 3, 1, 2''
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''1320''
''1320''
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|
|
|31\53
''1286; 1, 3, 1, 1, 2''
|19\31
|19\31
''1348; 2, 1, 1, 2, 2''
''1348; 2, 1, 1, 2, 2''
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|14\22
|14\22
''1400''
''1400''
|
|34\53
''1411; 3, 8, 2''
|20\31
|20\31
''1419; 2, 4, 2''
''1419; 2, 4, 2''
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| rowspan="2" |15\22
| rowspan="2" |15\22
''1500''
''1500''
|
|37\53
''1535; 1, 5, 1, 1, 1, 2''
|22\31
|22\31
''1561; 3, 2, 4''
''1561; 3, 2, 4''
Line 941: Line 1,005:
''1508; 1, 1, 3''
''1508; 1, 1, 3''
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|
|
|36\53
''1394; 2, 1, 17''
|21\31
|21\31
''1490; 3, 10''
''1490; 3, 10''
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|16\22
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''1600''
''1600''
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|39\53
''1618; 1, 6, 1, 1, 3''
|23\31
|23\31
''1632; 3, 1, 7''
''1632; 3, 1, 7''
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|17\22
|17\22
''1700''
''1700''
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|42\53
1737; 13, 2
|25\31
|25\31
''1774; 5, 6''
''1774; 5, 6''
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|16\22
|16\22
''1600''
''1600''
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|38\53
''1578; 2, 1, 3, 1, 3''
|22\31
|22\31
''1561; 3, 2, 4''
''1561; 3, 2, 4''
Line 995: Line 1,063:
|'''17\22'''
|'''17\22'''
'''''1700'''''
'''''1700'''''
|
|'''41\53'''
'''''1701; 1, 7, 1, 5'''''
|'''24\31'''
|'''24\31'''
'''''1703; 4, 2, 3'''''
'''''1703; 4, 2, 3'''''
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| rowspan="2" |18\22
| rowspan="2" |18\22
''1800''
''1800''
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|44\53
''1826; 2, 2,, 2, 4''
|26\31
|26\31
''1845; 5, 6''
''1845; 5, 6''
Line 1,021: Line 1,091:
''1822; 1, 6''
''1822; 1, 6''
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''1784; 1, 9, 1, 1, 2''
|25\31
|25\31
''1774; 6, 5''
''1774; 6, 5''
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|19\22
|19\22
''1900''
''1900''
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''1909; 2, 3, 3, 2''
|27\31
|27\31
''1916; 7, 1, 3''
''1916; 7, 1, 3''
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| rowspan="2" |20\22
| rowspan="2" |20\22
''2000''
''2000''
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|49\53
''2033; 1, 25, 2''
|29\31
|29\31
''2058; 15, 2''
''2058; 15, 2''
Line 1,061: Line 1,134:
''2011; 2, 3''
''2011; 2, 3''
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|
|
|48\53
''1992; 2, 4, 1, 4''
|28\31
|28\31
''1987; 10, 3''
''1987; 10, 3''
Line 1,075: Line 1,149:
|21\22
|21\22
''2100''
''2100''
|
|51\53
''2116; 1, 52''
|30\31
|30\31
''2129; 31''
''2129; 31''
Line 1,089: Line 1,164:
|22\22
|22\22
''2200''
''2200''
|
|54\53
''2241; 1, 1, 26''
|32\31
|32\31
''2270; 1, 30''
''2270; 1, 30''
Line 1,101: Line 1,177:
|21\22
|21\22
''2100''
''2100''
|
|50\53
''2075; 2, 8, 3''
|29\31
|29\31
''2058; 15, 2''
''2058; 15, 2''

Revision as of 14:18, 28 July 2022

Shōsūshī - so named because of the four small steps in its diatonic MOS - is an excellent 8*-limit temperament tempering out 64/63 or an excellent 9 (18)-limit temperament tempering out 81/80.

Properties

In shōsūshī, the just major 21st (15/2) is divided into 7 equal steps. These steps form quartal harmonies (1-4/3-7/4-7/3…). Alternately, the ‘perfect eleventh’ 8/3 also makes a good shōsūshī generator. Compatible equal temperaments include 22edXIV; 31edXIV, 40edXIV and 49edXIV (7-ward) and 35edXIV, 48edXIV and 61edXIV (9-ward).

Notation

Because shōsūshī is a Mahjong hand, its MOS has 13 tones, as in the 13 tiles in a Mahjong hand and its “13 han” Japanese value. Thus the nominals are given as Japanese kana, and to avoid confusion with traditional Japanese notations, hiragana are used.

The notation used in this article is く す つ ぬ ふ む ゆ き し ち に ひ み = LLsLLLsLLsLLs (Ionian b14), #/b mostly two chromas up/down.

Thus the 22edXIV gamut is as follows:

く/み# か/そ さ/と つ/の ぬ/た な/ほ は/も ま/よ ゆ/け き/や き#/せ し#/て ち/ね ち#/に に#/へ ひ#/め み/け

The 31edXIV gamut is notated as follows:

み#/そ か と さ/の た/ほ な も は よ ま/け ゆ き や/せ き# て し#/ね ち に ち#/へ に# め ひ#/け

The 35edXIV gamut:

か/そb そ/か# さ/とb と/さ# つ/のb た/の ぬ/た# な/ほb ほ/な# は/もb も/は# よ/けb け/よ# ゆ/やb や/ま き/ま# き#/せb せ し#/てb て ち/ねb ち#/ね に#/へb へ ひ#/めb め み/けb み#/け

Cents[1]
Notation Supersoft Soft Semisoft Basic Semihard Hard Superhard
か (く#) 1\48

46; 6, 2

1\35

63: 6, 3

2\57

77; 2, 2, 1, 1

1\22

100

3\53

124; 7, 4

2\31

141; 5, 1, 2

3\40

163.63

そ (すb) 3\48

138; 3, 4

2\35

126; 3, 6

3\57

116; 7, 1, 3

2\53

82; 1, 3, 7

1\31

70; 1, 1, 2, 3

1\40

54.54

4\48

184; 1, 1, 1, 1, 2

3\35

189; 2, 9

5\57

193; 1, 1, 4, 1, 2

2\22

200

5\53

206; 1, 8, 1, 2

3\31

211; 1, 3, 4

4\40

218.18

さ (す#) 5\48

230; 1, 3, 3

4\35

252; 1, 1, 1, 2, 2

7\57

270; 1, 30

3\22

300

8\53

331; 29

5\31

352; 1, 16

7\40

381.81

と (つb) 7\48

323; 13

5\35

315; 1, 3, 1, 3

8\57

309; 1, 2, 10

7\53

289; 1, 1, 1, 9

4\31

282; 2, 1, 5

5\40

272.72

8\48

369; 4, 3

6\35

378; 1, 18

10\57

387; 10, 3

4\22

400

10\53

413; 1, 3, 1, 5

6\31

423; 1, 1, 8

8\40

436.36

た (つ#) 9\48

415; 2, 2, 2

7\35

442; 9, 2

12\57

464; 1, 1, 15

5\22

500

13\53

537; 13, 2

8\31

564; 1, 2, 2, 2

11\40

600

の (ぬb) 10\48

461; 1, 1, 6

11\57

425; 1, 4, 6

4\22

400

9\53

372; 2, 2, 2, 2

5\31

352; 1, 16

6\40

327.27

11\48

507; 1, 1, 2, 4

8\35

505; 3, 1, 4

13\57

503; 4, 2, 3

5\22

500

12\53

496; 1, 1, 4, 3

7\31

494; 8, 2

9\40

490.90

な (ぬ#) 12\48

553; 1, 5, 2

9\35

568; 2, 2, 1, 2

15\57

580; 1, 1, 4, 2

6\22

600

15\53

620; 1, 2, 4, 2

9\31

635; 3, 2, 2

12\40

654.54

ほ (ふb) 14\48

646; 6, 2

10\35

631; 1, 1, 2, 1, 2

16\57

619; 2, 4, 2

14\53

579; 9, 1, 2

8\31

564; 1, 2, 2, 2

10\40

545.45

15\48

692; 3, 4

11\35

694; 1, 2, 1, 4

18\57

696; 1, 3, 2, 3

7\22

700

17\53

703; 2, 4, 3

10\31

705; 1, 7, 2

13\40

709.09

は (ふ#) 16\48

738; 3, 4

12\35

757; 1, 8, 2

20\57

774; 5, 6

8\22

800

20\53

827; 1, 1, 2, 2, 2

12\31

847; 17

16\40

872.72

も (むb) 18\48

830; 1, 3, 3

13\35

821; 19

21\57

812; 1, 9, 3

19\53

786; 4, 1, 5

11\31

776; 2, 8

14\40

763.63

19\48

876; 1, 12

14\35

884; 4, 1, 3

23\57

890; 3, 10

9\22

900

22\53

910; 2, 1, 9

13\31

917; 1, 1, 1, 5

17\40

927.27

よ (む#) 20\48

923; 13

15\35

947; 2, 1, 2, 2

25\57

967; 1, 2, 1, 7

10\22

1000

25\53

1034; 2, 14

15\31

1058; 1, 4, 1, 2

20\40

1090.90

け (ゆb) 22\48

1015; 2, 2, 2

16\35

1010; 1, 1, 9

26\57

1006; 2, 4, 1, 2

24\53

993: 9, 1, 2

14\31

988; 4, 4

18\40

981.81

23\48

1061; 1, 1, 6

17\35

1073; 1, 2, 6

28\57

1083; 1, 6, 1, 3

11\22

1100

27\53

1127; 4, 7

16\31

1129; 2, 2, 3

21\40

1145.45

や (ゆ#) 24\48

1107; 1, 1, 2, 4

18\35

1136; 1, 5, 3

30\57

1161; 3, 2, 4

12\22

1200

30\29

1241; 2, 1, 1, 1, 3

15\31

1058; 1, 4, 1, 2

24\40

1309.09

ま (きb) 25\48

1153; 1, 5, 2

29\57

1122; 1, 1, 2, 1, 1

11\22

1100

26\53

1075; 1, 6, 4

18\31

1270; 1, 1, 2, 3

19\40

1036.36

26\48

1200

19\35

1200

31\57

1200

12\22

1200

29\53

1200

17\31

1200

22\40

1200

き# 27\48

1246; 6, 2

20\35

1263: 6, 3

33\57

1277; 2, 2, 1, 1

13\22

1300

32\53

1324; 7, 4

18\31

1270; 1, 1, 2, 3

25\40

1363.63

せ (しb) 29\48

1338; 3, 4

21\35

1326; 3, 6

34\57

1316; 7, 1, 3

31\53

1282; 1, 3, 7

19\31

1341; 5, 1, 2

23\40

1254.54

30\48

1384; 1, 1, 1, 1, 2

22\35

1389; 2, 9

36\57

1393; 1, 1, 4, 1, 2

14\22

1400

34\53

1406; 1, 8, 1, 2

20\31

1411; 1, 3, 4

26\40

1418.18

し# 31\48

1430; 1, 3, 3

23\35

1452; 1, 1, 1, 2, 2

38\57

1470; 1, 30

15\22

1500

37\53

1531; 29

22\31

1552; 1, 16

29\40

1581.81

て (ちb) 33\48

1523; 13

24\35

1515; 1, 3, 1, 3

39\57

1509; 1, 2, 10

36\53

1389; 1, 1, 1, 9

21\31

1482; 2, 1, 5

27\40

1472.72

34\48

1569; 4, 3

25\35

1578; 1, 18

41\57

1587; 10, 3

16\22

1600

39\53

1613; 1, 3, 1, 5

23\31

1623; 1, 1, 8

30\40

1636.36

ち# 35\48

1615; 2, 2, 2

26\35

1642; 9, 2

43\57

1664; 1, 1, 15

17\22

1700

42\53

1737; 13, 2

25\31

1764; 1, 2, 2, 2

33\40

1800

ね (にb) 36\48

1661; 1, 1, 6

42\57

1625; 1, 4, 6

16\22

1600

38\53

1572; 2, 2, 2, 2

22\31

1552; 1, 16

28\40

1527.27

37\48

1707; 1, 1, 2, 4

27\35

1705; 3, 1, 4

44\57

1703; 4, 2, 3

17\22

1700

41\53

1696; 1, 1, 4, 3

24\31

1694; 8, 2

31\40

1690.90

に# 38\48

1753; 1, 5, 2

28\35

1768; 2, 2, 1, 2

46\57

1780; 1, 1, 4, 2

18\22

1800

44\53

1820; 1, 2, 4, 2

26\31

1835; 3, 2, 2

34\40

1854.54

へ (ひb) 40\48

1846; 6, 2

29\35

1831; 1, 1, 2, 1, 2

47\57

1819; 2, 4, 2

43\53

1779; 9, 1, 2

25\31

1764; 1, 2, 2, 2

32\40

1745.45

41\48

1892; 3, 4

30\35

1894; 1, 2, 1, 4

49\57

1896; 1, 3, 2, 3

19\22

1900

46\53

1903; 2, 4, 3

27\31

1905; 1, 7, 2

35\40

1909.09

ひ# 42\48

1938; 3, 4

31\35

1957; 1, 8, 2

51\57

1974; 5, 6

20\22

2000

49\53

2027; 1, 1, 2, 2, 2

29\31

2047; 17

38\40

2072.72

め (みb) 44\48

2030; 1, 3, 3

32\35

2021; 19

52\57

2012; 1, 9, 3

48\53

1986; 4, 1, 5

28\31

1976; 2, 8

36\40

1963.63

45\48

2076; 1, 12

33\35

2084; 4, 1, 3

54\57

2090; 3, 10

21\22

2100

51\53

2110; 2, 1, 9

30\31

2117; 1, 1, 1, 5

39\40

2127.27

み# 46\48

2123; 13

34\35

2147; 2, 1, 2, 2

56\57

2167; 1, 2, 1, 7

22\22

2200

54\53

2234; 2, 14

32\31

2258; 1, 4, 1, 2

42\40

2290.90

け (くb) 47\48

2169; 4, 3

55\57

2129; 31

21\22

2100

50\53

2068; 1, 28

29\31

2047; 17

37\40

2018.18

48\48

2215; 2, 2, 2

35\35

2210; 1, 1, 9

57\57

2206; 2, 4, 1, 2

22\22

2200

53\53

2193; 9, 1, 2

31\31

2188; 4, 4

40\40

2181.81

Relative Cents[1]
Notation Supersoft Soft Semisoft Basic Semihard Hard Superhard
か (く#) 1\48

45.83

1\35

62; 1, 6

1\22

100

3\53

124; 1, 1, 8, 3

2\31

141; 1, 14, 2

3\40

165

そ (すb) 3\48

137.5

2\35

125; 1, 2, 2

2\53

83; 53

1\31

70; 1, 30

1\40

55

4\48

183.3

3\35

188; 1, 1, 3

2\22

200

5\53

207; 1, 1, 4, 1, 4

3\31

212; 1, 9, 3

4\40

220

さ (す#) 5\48

229.16

4\35

251; 2, 3

3\22

300

8\53

332; 13, 4

5\31

354; 1, 5, 5

7\40

385

と (つb) 7\48

320.83

5\35

314; 3, 2

7\53

290; 1, 1, 3, 3, 2

4\31

283; 1, 6, 1, 3

5\40

275

8\48

366.6

6\35

377; 7

4\22

400

10\53

415; 10, 1, 1, 2

6\31

425; 1, 4, 6

8\40

440

た (つ#) 9\48

412.5

7\35

440

5\22

500

13\53

539; 1, 1, 1, 1, 1, 6

8\31

567; 1, 2, 1, 7

11\40

605

の (ぬb) 10\48

458.3

4\22

400

9\53

373; 1, 1, 2, 2, 4

5\31

354; 1, 5, 5

6\40

330

11\48

504.16

8\35

502; 1, 6

5\22

500

12\53

498; 8, 1, 5

7\31

496; 1, 3, 2, 3

9\40

495

な (ぬ#) 12\48

550

9\35

565; 1, 2, 2

6\22

600

15\53

622; 1, 1, 1, 3, 1, 3

9\31

638; 1, 2, 2, 4

12\40

660

ほ (ふb) 14\48

641.6

10\35

628; 1, 1, 3

14\53

581; 7, 1, 1, 3

8\31

567; 1, 2, 1, 7

10\40

550

15\48

687.5

11\35

691; 2, 3

7\22

700

17\53

705; 1, 1, 1, 17

10\31

709; 1, 2, 10

13\40

715

は (ふ#) 16\48

733.3

12\35

754; 3, 2

8\22

800

20\53

830; 5, 3, 3

12\31

851; 1, 1, 1, 1, 2, 2

16\40

880

も (むb) 18\48

825

13\35

817; 7

19\53

788; 1, 2, 8, 2

11\31

780; 1, 1, 1, 4, 2

14\40

770

19\48

870.83

14\35

880

9\22

900

22\53

913; 4, 1, 4, 2

13\31

922; 1, 1, 2, 1, 1, 2

17\40

935

よ (む#) 20\48

916.6

15\35

942; 1, 6

10\22

1000

25\53

1037; 1, 2, 1, 3, 1, 2

15\31

1064; 1, 1, 15

20\40

1100

け (ゆb) 22\48

1013.3

16\35

1005; 1, 2, 2

24\53

996: 4, 2, 2, 2

14\31

993; 1, 1, 4, 1, 2

18\40

990

23\48

1059.16

17\35

1068; 1, 1, 3

11\22

1100

27\53

1130; 1, 3, 13

16\31

1135; 2, 15

21\40

1155

や (ゆ#) 24\48

1100

18\35

1131; 2, 3

12\22

1200

30\29

1245; 3, 1, 1, 7

15\31

1064; 1, 1, 15

24\40

1320

ま (きb) 25\48

1145.83

11\22

1100

26\53

1079; 4, 13

18\31

1277; 2, 3, 1, 2

19\40

1045

26\48

1191.6

19\35

1194: 3, 2

12\22

1200

29\53

1203; 1, 3, 2, 2, 2

17\31

1206; 2, 3, 1, 2

22\40

1210

き# 27\48

1237.5

20\35

1257: 7

13\22

1300

32\53

1328; 3, 3, 5

18\31

1277; 2, 3, 1, 2

25\40

1375

せ (しb) 29\48

1329.16

21\35

1320

31\53

1286; 1, 3, 1, 1, 2

19\31

1348; 2, 1, 1, 2, 2

23\40

1265

30\48

1375

22\35

1382; 1, 6

14\22

1400

34\53

1411; 3, 8, 2

20\31

1419; 2, 4, 2

26\40

1430

し# 31\48

1420.83

23\35

1445; 1, 2, 2

15\22

1500

37\53

1535; 1, 5, 1, 1, 1, 2

22\31

1561; 3, 2, 4

29\40

1595

て (ちb) 33\48

1512.5

24\35

1508; 1, 1, 3

36\53

1394; 2, 1, 17

21\31

1490; 3, 10

27\40

1485

34\48

1558.3

25\35

1571; 2, 3

16\22

1600

39\53

1618; 1, 6, 1, 1, 3

23\31

1632; 3, 1, 7

30\40

1650

ち# 35\48

1604.16

26\35

1633; 3, 2

17\22

1700

42\53

1737; 13, 2

25\31

1774; 5, 6

33\40

1815

ね (にb) 36\48

1650

16\22

1600

38\53

1578; 2, 1, 3, 1, 3

22\31

1561; 3, 2, 4

28\40

1540

37\48

1695.83

27\35

1696; 7

17\22

1700

41\53

1701; 1, 7, 1, 5

24\31

1703; 4, 2, 3

31\40

1705

に# 38\48

1741.6

28\35

1760

18\22

1800

44\53

1826; 2, 2,, 2, 4

26\31

1845; 5, 6

34\40

1870

へ (ひb) 40\48

1833.3

29\35

1822; 1, 6

43\53

1784; 1, 9, 1, 1, 2

25\31

1774; 6, 5

32\40

1760

41\48

1879.16

30\35

1885; 1, 2, 2

19\22

1900

46\53

1909; 2, 3, 3, 2

27\31

1916; 7, 1, 3

35\40

1925

ひ# 42\48

1925

31\35

1948; 1, 1, 3

20\22

2000

49\53

2033; 1, 25, 2

29\31

2058; 15, 2

38\40

2090

め (みb) 44\48

2016.6

32\35

2011; 2, 3

48\53

1992; 2, 4, 1, 4

28\31

1987; 10, 3

36\40

1980

45\48

2062.5

33\35

2075; 3, 2

21\22

2100

51\53

2116; 1, 52

30\31

2129; 31

39\40

2145

み# 46\48

2108.3

34\35

2138; 7

22\22

2200

54\53

2241; 1, 1, 26

32\31

2270; 1, 30

42\40

2310

け (くb) 47\48

2154.16

21\22

2100

50\53

2075; 2, 8, 3

29\31

2058; 15, 2

37\40

2035

2200
  1. 1.0 1.1 Fractions repeating more than 4 digits written as continued fractions