User:Moremajorthanmajor/9L 4s (7/2-equivalent): Difference between revisions
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''270; 5, 1, 2, 3'' | |||
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''308; 1, 3, 2, 1, 1, 2'' | |||
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''290; 1, 1, 3, 3, 2'' | ''290; 1, 1, 3, 3, 2'' | ||
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''385; 1, 27, 2'' | |||
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''400'' | ''400'' | ||
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''458.{{Overline|3}}'' | ''458.{{Overline|3}}'' | ||
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''424; 1, 1, 3, 1, 1, 3'' | |||
|4\22 | |4\22 | ||
''400'' | ''400'' | ||
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|'''8\35''' | |'''8\35''' | ||
'''''502; 1, 6''''' | '''''502; 1, 6''''' | ||
| | |'''13\57''' | ||
'''''501; 1, 3, 14''''' | |||
|'''5\22''' | |'''5\22''' | ||
'''''500''''' | '''''500''''' | ||
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''565; 1, 2, 2'' | ''565; 1, 2, 2'' | ||
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''578; 1, 18'' | |||
| rowspan="2" |6\22 | | rowspan="2" |6\22 | ||
''600'' | ''600'' | ||
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|10\35 | |10\35 | ||
''628; 1, 1, 3'' | ''628; 1, 1, 3'' | ||
| | |16\57 | ||
''617; 1, 1, 5, 5'' | |||
|14\53 | |14\53 | ||
''581; 7, 1, 1, 3'' | ''581; 7, 1, 1, 3'' | ||
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|11\35 | |11\35 | ||
''691; 2, 3'' | ''691; 2, 3'' | ||
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''694; 1, 2, 1, 4'' | |||
|7\22 | |7\22 | ||
''700'' | ''700'' | ||
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|12\35 | |12\35 | ||
''754; 3, 2'' | ''754; 3, 2'' | ||
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''771; 1, 13, 4'' | |||
| rowspan="2" |8\22 | | rowspan="2" |8\22 | ||
''800'' | ''800'' | ||
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|13\35 | |13\35 | ||
''817; 7'' | ''817; 7'' | ||
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''810; 1, 1, 9'' | |||
|19\53 | |19\53 | ||
''788; 1, 2, 8, 2'' | ''788; 1, 2, 8, 2'' | ||
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|14\35 | |14\35 | ||
''880'' | ''880'' | ||
| | |23\57 | ||
''887; 1, 2, 1, 1, 3, 2'' | |||
|9\22 | |9\22 | ||
''900'' | ''900'' | ||
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|15\35 | |15\35 | ||
''942; 1, 6'' | ''942; 1, 6'' | ||
| | |25\57 | ||
''964; 1, 10, 3, 2'' | |||
| rowspan="2" |10\22 | | rowspan="2" |10\22 | ||
''1000'' | ''1000'' | ||
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|16\35 | |16\35 | ||
''1005; 1, 2, 2'' | ''1005; 1, 2, 2'' | ||
| | |26\57 | ||
''1003; 1, 1, 28'' | |||
|24\53 | |24\53 | ||
''996: 4, 2, 2, 2'' | ''996: 4, 2, 2, 2'' | ||
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|17\35 | |17\35 | ||
''1068; 1, 1, 3'' | ''1068; 1, 1, 3'' | ||
| | |28\57 | ||
''1080; 1, 2, 2, 1, 5'' | |||
|11\22 | |11\22 | ||
''1100'' | ''1100'' | ||
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| rowspan="2" |18\35 | | rowspan="2" |18\35 | ||
''1131; 2, 3'' | ''1131; 2, 3'' | ||
| | |30\57 | ||
''1157; 1, 8, 2'' | |||
|12\22 | |12\22 | ||
''1200'' | ''1200'' | ||
|30\29 | |30\29 | ||
''1245; 3, 1, 1, 7'' | ''1245; 3, 1, 1, 7'' | ||
| | |18\31 | ||
'' | ''1277; 2, 2, 1, 1, 2'' | ||
|24\40 | |24\40 | ||
''1320'' | ''1320'' | ||
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|25\48 | |25\48 | ||
''1145.8{{Overline|3}}'' | ''1145.8{{Overline|3}}'' | ||
| | |29\57 | ||
''1119; 3, 2, 1, 5'' | |||
|11\22 | |11\22 | ||
''1100'' | ''1100'' | ||
|26\53 | |26\53 | ||
''1079; 4, 13'' | ''1079; 4, 13'' | ||
| | |15\31 | ||
'' | ''1064; 1, 1, 15'' | ||
|19\40 | |19\40 | ||
''1045'' | ''1045'' | ||
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|19\35 | |19\35 | ||
''1194: 3, 2'' | ''1194: 3, 2'' | ||
| | |31\57 | ||
''1196; 2, 28'' | |||
|12\22 | |12\22 | ||
''1200'' | ''1200'' | ||
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|20\35 | |20\35 | ||
''1257: 7'' | ''1257: 7'' | ||
| | |33\57 | ||
''1273; 1, 2, 6'' | |||
| rowspan="2" |13\22 | | rowspan="2" |13\22 | ||
''1300'' | ''1300'' | ||
|32\53 | |32\53 | ||
''1328; 3, 3, 5'' | ''1328; 3, 3, 5'' | ||
| | |19\31 | ||
'' | ''1348; 2, 1, 1, 2, 2'' | ||
|25\40 | |25\40 | ||
''1375'' | ''1375'' | ||
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|せ (しb) | |せ (しb) | ||
|29\48 | |29\48 | ||
''1329.1 | ''1329.1{{Overline|6}}'' | ||
|21\35 | |21\35 | ||
''1320'' | ''1320'' | ||
| | |34\57 | ||
''1312; 3, 1, 1, 3, 2'' | |||
|31\53 | |31\53 | ||
''1286; 1, 3, 1, 1, 2'' | ''1286; 1, 3, 1, 1, 2'' | ||
| | |18\31 | ||
'' | ''1277; 2, 2, 1, 1, 2'' | ||
|23\40 | |23\40 | ||
''1265'' | ''1265'' | ||
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|22\35 | |22\35 | ||
''1382; 1, 6'' | ''1382; 1, 6'' | ||
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''1389; 2, 9'' | |||
|14\22 | |14\22 | ||
''1400'' | ''1400'' | ||
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|23\35 | |23\35 | ||
''1445; 1, 2, 2'' | ''1445; 1, 2, 2'' | ||
| | |38\57 | ||
''1466.{{Overline|6}}'' | |||
| rowspan="2" |15\22 | | rowspan="2" |15\22 | ||
''1500'' | ''1500'' | ||
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|24\35 | |24\35 | ||
''1508; 1, 1, 3'' | ''1508; 1, 1, 3'' | ||
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''1505; 3, 1, 4'' | |||
|36\53 | |36\53 | ||
''1394; 2, 1, 17'' | ''1394; 2, 1, 17'' | ||
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|25\35 | |25\35 | ||
''1571; 2, 3'' | ''1571; 2, 3'' | ||
| | |41\57 | ||
''1582; 2, 5, 5'' | |||
|16\22 | |16\22 | ||
''1600'' | ''1600'' | ||
Line 1,032: | Line 1,059: | ||
| rowspan="2" |26\35 | | rowspan="2" |26\35 | ||
''1633; 3, 2'' | ''1633; 3, 2'' | ||
| | |43\57 | ||
''1659; 1, 1, 1, 5, 1, 3'' | |||
|17\22 | |17\22 | ||
''1700'' | ''1700'' | ||
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|36\48 | |36\48 | ||
''1650'' | ''1650'' | ||
| | |42\57 | ||
''1621; 19'' | |||
|16\22 | |16\22 | ||
''1600'' | ''1600'' | ||
Line 1,060: | Line 1,089: | ||
|'''27\35''' | |'''27\35''' | ||
'''''1696; 7''''' | '''''1696; 7''''' | ||
| | |'''44\57''' | ||
'''''1699; 4, 14''''' | |||
|'''17\22''' | |'''17\22''' | ||
'''''1700''''' | '''''1700''''' | ||
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|28\35 | |28\35 | ||
''1760'' | ''1760'' | ||
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''1775; 2, 3, 1, 1, 3'' | |||
| rowspan="2" |18\22 | | rowspan="2" |18\22 | ||
''1800'' | ''1800'' | ||
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|29\35 | |29\35 | ||
''1822; 1, 6'' | ''1822; 1, 6'' | ||
| | |47\57 | ||
''1814; 28, 2'' | |||
|43\53 | |43\53 | ||
''1784; 1, 9, 1, 1, 2'' | ''1784; 1, 9, 1, 1, 2'' | ||
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|30\35 | |30\35 | ||
''1885; 1, 2, 2'' | ''1885; 1, 2, 2'' | ||
| | |49\57 | ||
''1891; 4, 2, 1, 1, 2'' | |||
|19\22 | |19\22 | ||
''1900'' | ''1900'' | ||
Line 1,118: | Line 1,151: | ||
|31\35 | |31\35 | ||
''1948; 1, 1, 3'' | ''1948; 1, 1, 3'' | ||
| | |51\57 | ||
''1968; 2, 2, 1, 2'' | |||
| rowspan="2" |20\22 | | rowspan="2" |20\22 | ||
''2000'' | ''2000'' | ||
Line 1,133: | Line 1,167: | ||
|32\35 | |32\35 | ||
''2011; 2, 3'' | ''2011; 2, 3'' | ||
| | |52\57 | ||
''2007; 57'' | |||
|48\53 | |48\53 | ||
''1992; 2, 4, 1, 4'' | ''1992; 2, 4, 1, 4'' | ||
Line 1,146: | Line 1,181: | ||
|33\35 | |33\35 | ||
''2075; 3, 2'' | ''2075; 3, 2'' | ||
| | |54\57 | ||
2084; 4, 1, 3 | |||
|21\22 | |21\22 | ||
''2100'' | ''2100'' | ||
Line 1,160: | Line 1,196: | ||
''2108.{{Overline|3}}'' | ''2108.{{Overline|3}}'' | ||
| rowspan="2" |34\35 | | rowspan="2" |34\35 | ||
2138; 7 | ''2138; 7'' | ||
| | |56\57 | ||
''2161; 2, 2, 11'' | |||
|22\22 | |22\22 | ||
''2200'' | ''2200'' | ||
Line 1,174: | Line 1,211: | ||
|47\48 | |47\48 | ||
''2154.1{{Overline|6}}'' | ''2154.1{{Overline|6}}'' | ||
| | |55\57 | ||
''2122; 1, 4, 5, 2'' | |||
|21\22 | |21\22 | ||
''2100'' | ''2100'' | ||
Line 1,185: | Line 1,223: | ||
|- | |- | ||
!く | !く | ||
! colspan=" | ! colspan="6" |''2200'' | ||
! | |||
|} | |||
== Intervals == | |||
{| class="wikitable" | |||
|+ | |||
!Generators | |||
!Fourteenth notation | |||
!Interval category name | |||
!Generators | |||
!Notation of 7/2ish inverse | |||
!Interval category name | |||
|- | |||
| colspan="6" |The 13-note MOS has the following intervals (from some root): | |||
|- | |||
|0 | |||
|く | |||
|perfect unison | |||
|0 | |||
|く | |||
|“perfect” minor fourteenth | |||
|- | |||
|1 | |||
|に | |||
|natural eleventh | |||
| -1 | |||
|ぬ | |||
|natural fourth | |||
|- | |||
|2 | |||
|き | |||
|perfect octave | |||
| -2 | |||
|け (ゆb) | |||
|minor seventh | |||
|- | |||
|3 | |||
|ふ | |||
|natural fifth | |||
| -3 | |||
|て (ちb) | |||
|minor tenth | |||
|- | |||
|4 | |||
|す | |||
|major second | |||
| -4 | |||
|め (みb) | |||
|minor thirteenth | |||
|- | |||
|5 | |||
|ひ | |||
|natural twelfth (tritave) | |||
| -5 | |||
|と (つb) | |||
|minor third | |||
|- | |||
|6 | |||
|し | |||
|major ninth | |||
| -6 | |||
|も (むb) | |||
|minor sixth | |||
|- | |||
|7 | |||
|む | |||
|major sixth | |||
| -7 | |||
|せ (しb) | |||
|minor ninth | |||
|- | |||
|8 | |||
|つ | |||
|major third | |||
| -8 | |||
|へ (ひb) | |||
|diminished twelfth | |||
|- | |||
|9 | |||
|み | |||
|major thirteenth | |||
| -9 | |||
|そ (すb) | |||
|minor second | |||
|- | |||
|10 | |||
|ち | |||
|major tenth | |||
| -10 | |||
|ほ (ふb) | |||
|diminished fifth | |||
|- | |||
|11 | |||
|ゆ | |||
|major seventh | |||
| -11 | |||
|ま (きb) | |||
|diminished octave | |||
|- | |||
|12 | |||
|な (ぬ#) | |||
|augmented fourth | |||
| -12 | |||
|ね (にb) | |||
|diminished eleventh | |||
|- | |||
|13 | |||
|か (く#) | |||
|augmented unison | |||
| -13 | |||
|け (くb) | |||
|diminished fourteenth | |||
|- | |||
| colspan="6" |The chromatic 22-note MOS (either [[13L 9s (minor fourteenth equivalent)|13L 9s]], [[9L 13s (minor fourteenth equivalent)|9L 13s]] or [[22edXIV]]) also has these intervals | |||
|- | |||
|14 | |||
|に# | |||
|augmented eleventh | |||
| -14 | |||
|の (ぬb) | |||
|diminished fourth | |||
|- | |||
|15 | |||
|き# | |||
|augmented octave | |||
| -15 | |||
|けb (ゆbb) | |||
|diminished seventh | |||
|- | |||
|16 | |||
|は (ふ#) | |||
|augmented fifth | |||
| -16 | |||
|てb (ちbb) | |||
|diminished tenth | |||
|- | |||
|17 | |||
|さ (す#) | |||
|augmented second | |||
| -17 | |||
|めb (みbb) | |||
|diminished thirteenth | |||
|- | |||
|18 | |||
|に# | |||
|augmented twelfth | |||
| -18 | |||
|とb (つbb) | |||
|diminished third | |||
|- | |||
|19 | |||
|し# | |||
|augmented ninth | |||
| -19 | |||
|もb (むbb) | |||
|diminished sixth | |||
|- | |||
|20 | |||
|よ (む#) | |||
|augmented sixth | |||
| -20 | |||
|せb (しbb) | |||
|diminished ninth | |||
|- | |||
|21 | |||
|た (つ#) | |||
|augmented third | |||
| -21 | |||
|へb (ひbb) | |||
|doubly diminished twelfth | |||
|} | |} |