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User:Moremajorthanmajor/7L 3s (15/7-equivalent): Difference between revisions

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==Scale tree==
==Scale tree==
The generator range reflects two extremes: one where L = s (3\10), and another where s = 0 (2\7). Between these extremes, there is an infinite continuum of possible generator sizes. By taking freshman sums of the two edges (adding the numerators, then adding the denominators), we can fill in this continuum with compatible edos, increasing in number of tones as we continue filling in the in-betweens. Thus, the smallest in-between edIX would be (3+2)\(10+7) = 5\17 – five degrees of [[17edIX]]:
The generator range reflects two extremes: one where L = s (3\10), and another where s = 0 (2\7). Between these extremes, there is an infinite continuum of possible generator sizes. By taking freshman sums of the two edges (adding the numerators, then adding the denominators), we can fill in this continuum with compatible edos, increasing in number of tones as we continue filling in the in-betweens. Thus, the smallest in-between edIX would be (3+2)\(10+7) = 5\17 – five degrees of [[17edIX]]:


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!Chroma-negative
!Chroma-negative
|-
|-
|7\10|| || || || ||
|7\10|| || || || ||
|
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|
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| ||933.333||400.000
| ||933.333||400.000
|1190.000
|1190.000
|510.000||1||1||1.000||
|510.000||1||1||1.000||
|-
|-
| || || || || ||40\57
| || || || || ||40\57
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| ||923.077||392.307
| ||923.077||392.307
|1192.982
|1192.982
|507.018||6||5||1.200||Restles↑
|507.018||6||5||1.200||Restles↑
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|-
|-
| || || || ||33\47||
| || || || ||33\47||
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| ||920.930||390.698
| ||920.930||390.698
|1193.617
|1193.617
|506.383||5||4||1.250||
|506.383||5||4||1.250||
|-
|-
| || || || || ||59\84
| || || || || ||59\84
|
|
|
|
| ||919.481||389.610
| ||919.481||389.610
|1194.048
|1194.048
|505.952||9||7||1.286||
|505.952||9||7||1.286||
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|-
|-
| || || ||26\37|| ||
| || || ||26\37|| ||
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| ||917.647||388.235
| ||917.647||388.235
|1194.595
|1194.595
|505.405||4||3||1.333||
|505.405||4||3||1.333||
|-
|-
| || || || || ||71\101
| || || || || ||71\101
|
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| ||916.129||387.097
| ||916.129||387.097
|1195.050
|1195.050
|504.950||11||8||1.375||
|504.950||11||8||1.375||
|-
|-
| || || || ||45\64||
| || || || ||45\64||
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| ||915.254||386.441
| ||915.254||386.441
|1195.3125
|1195.3125
|504.6875||7||5||1.400||Beatles
|504.6875||7||5||1.400||Beatles
|-
|-
| || || || || ||64\91
| || || || || ||64\91
|
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| ||914.286||385.714
| ||914.286||385.714
|1195.604
|1195.604
|504.396||10||7||1.428||
|504.396||10||7||1.428||
|-
|-
| || ||19\27|| || ||
| || ||19\27|| || ||
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| ||912.000||384.000
| ||912.000||384.000
|1196.296
|1196.296
|503.704||3||2||1.500||L/s = 3/2, suhajira/ringo
|503.704||3||2||1.500||L/s = 3/2, suhajira/ringo
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|-
|-
| || || || || ||69\98
| || || || || ||69\98
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| ||909.890||382.418
| ||909.890||382.418
|1196.938
|1196.938
|503.062||11||7||1.571||
|503.062||11||7||1.571||
|-
|-
| || || || ||50\71||
| || || || ||50\71||
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| ||909.091||381.818
| ||909.091||381.818
|1197.183
|1197.183
|502.817||8||5||1.600||
|502.817||8||5||1.600||
|-
|-
| || || || || ||81\115
| || || || || ||81\115
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| ||908.411||381.308
| ||908.411||381.308
|1197.391
|1197.391
|502.609||13||8||1.625||Golden suhajira
|502.609||13||8||1.625||Golden suhajira
|-
|-
| || || ||31\44|| ||
| || || ||31\44|| ||
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| ||907.317||380.489
| ||907.317||380.489
|1197.727
|1197.727
|502.273||5||3||1.667||
|502.273||5||3||1.667||
|-
|-
| || || || || ||74\105
| || || || || ||74\105
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| ||906.122||379.592
| ||906.122||379.592
|1198.095
|1198.095
|501.905||12||7||1.714||
|501.905||12||7||1.714||
|-
|-
| || || || ||43\61||
| || || || ||43\61||
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| ||905.263||378.947
| ||905.263||378.947
|1198.361
|1198.361
|501.639||7||4||1.750||
|501.639||7||4||1.750||
|-
|-
| || || || || ||55\78
| || || || || ||55\78
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| ||904.110||378.082
| ||904.110||378.082
|1198.561
|1198.561
|501.439||9||5||1.800||
|501.439||9||5||1.800||
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| ||12\17|| || || ||
| ||12\17|| || || ||
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| ||900.000||375.000
| ||900.000||375.000
|1200.000
|1200.000
|500.000||2||1||2.000||Basic Greater dicoid<br>(Generators smaller than this are proper)
|500.000||2||1||2.000||Basic Greater dicoid<br>(Generators smaller than this are proper)
|-
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|898.013
|373.510
|1200.625
|499.375
|19
|9
|2.111
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|-
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|897.778
|373.333
|1200.699
|499.301
|17
|8
|2.125
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|-
|-
|
|
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| || || || || ||53\75
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| ||895.775||371.831
| ||895.775||371.831
|1201.333
|1201.333
|498.667||9||4||2.250||
|498.667||9||4||2.250||
|-
|-
| || || || ||41\58||
| || || || ||41\58||
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| ||894.545||370.909
| ||894.545||370.909
|1201.724
|1201.724
|498.276||7||3||2.333||
|498.276||7||3||2.333||
|-
|-
| || || || || ||70\99
| || || || || ||70\99
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| ||893.617||370.213
| ||893.617||370.213
|1202.020
|1202.020
|497.979||12||5||2.400||Hemif/hemififths
|497.979||12||5||2.400||Hemif/hemififths
|-
|-
| || || ||29\41|| ||
| || || ||29\41|| ||
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| ||892.307||369.231
| ||892.307||369.231
|1202.439
|1202.439
|497.561||5||2||2.500||Mohaha/neutrominant
|497.561||5||2||2.500||Mohaha/neutrominant
|-
|-
| || || || || ||75\106
| || || || || ||75\106
|
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| ||891.089||368.317
| ||891.089||368.317
|1202.830
|1202.830
|497.170||13||5||2.600||Hemif/salsa/karadeniz
|497.170||13||5||2.600||Hemif/salsa/karadeniz
|-
|-
| || || || ||46\65||
| || || || ||46\65||
|
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| ||890.322||367.742
| ||890.322||367.742
|1203.077
|1203.077
|496.923||8||3||2.667||Mohaha/mohamaq
|496.923||8||3||2.667||Mohaha/mohamaq
|-
|-
| || || || || ||63\89
| || || || || ||63\89
|
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| ||889.412||367.059
| ||889.412||367.059
|1203.371
|1203.371
|496.629||11||4||2.750||
|496.629||11||4||2.750||
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| || ||17\24|| || ||
| || ||17\24|| || ||
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| ||886.957||365.213
| ||886.957||365.213
|1204.167
|1204.167
|495.833||3||1||3.000||L/s = 3/1
|495.833||3||1||3.000||L/s = 3/1
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| || || || || ||56\79
| || || || || ||56\79
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| ||884.210||363.158
| ||884.210||363.158
|1205.063
|1205.063
|494.937||10||3||3.333||
|494.937||10||3||3.333||
|-
|-
| || || || ||39\55||
| || || || ||39\55||
|
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| ||883.018||362.264
| ||883.018||362.264
|1205.455
|1205.455
|494.545||7||2||3.500||
|494.545||7||2||3.500||
|-
|-
| || || || || ||61\86
| || || || || ||61\86
|
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|
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| ||881.928||361.446
| ||881.928||361.446
|1205.814
|1205.814
|494.186||11||3||3.667||
|494.186||11||3||3.667||
|-
|-
| || || ||22\31|| ||
| || || ||22\31|| ||
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| ||880.000||360.000
| ||880.000||360.000
|1206.452
|1206.452
|493.548||4||1||4.000||Mohaha/migration/mohajira
|493.548||4||1||4.000||Mohaha/migration/mohajira
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|-
|-
| || || || || ||49\69
| || || || || ||49\69
|
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| ||877.612||358.209
| ||877.612||358.209
|1207.246
|1207.246
|492.754||9||2||4.500||
|492.754||9||2||4.500||
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| || || || ||27\38||
| || || || ||27\38||
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| ||875.676||356.757
| ||875.676||356.757
|1207.895
|1207.895
|492.105||5||1||5.000||
|492.105||5||1||5.000||
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|-
| || || || || ||32\45
| || || || || ||32\45
|
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| ||872.727||354.545
| ||872.727||354.545
|1208.889
|1208.889
|491.111||6||1||6.000||Mohaha/ptolemy
|491.111||6||1||6.000||Mohaha/ptolemy
|-
|-
|5\7|| || || || ||
|5\7|| || || || ||
|
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| ||857.143||342.857
| ||857.143||342.857
|1214.286
|1214.286
|485.714||1||0||→ inf||
|485.714||1||0||→ inf||
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/7L_3s_(15/7-equivalent)"