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Generator ranges of MOS: Difference between revisions

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Line 1,455: Line 1,455:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | Large-small numbers
! | L-s pattern
! | Generator range
! | Generator range
! | Boundaries of propriety, maximum expressiveness, diatonicity
! | Boundaries of best, better, good behavior
! | Large step+Small step
! | Large step-Small step
|-
|-
| | [[1L 23s]]
| | [[1L 23s]]
Line 1,515: Line 1,515:
| | 13g-7+6-11g = 2g-1
| | 13g-7+6-11g = 2g-1
|-
|-
| | [[12L 12s]]
| | ''[[12L 12s]] = 1L 1s (12)''
| | 1\24 < g < 1\12
| | ''1\24 < g < 1\12''
| | g = 2\36, 3\48, 4\60
| | ''g = 2\36, 3\48, 4\60''
| | g+1\12-g = 1\12
| | ''g+1\12-g = 1\12''
|-
|-
| | [[13L 11s]]
| | [[13L 11s]]
Line 1,535: Line 1,535:
| | 3g-1\3+2\3-5g = 1\3-2g
| | 3g-1\3+2\3-5g = 1\3-2g
|-
|-
| | [[16L 8s]]
| | ''[[16L 8s]] = 2L 1s (8)''
| | 1\24 < g < 1\16
| | ''1\24 < g < 1\16''
| | g = 2\40, 3\56, 4\72
| | ''g = 2\40, 3\56, 4\72''
| | g+1\8-2g = 1\8-g
| | ''g+1\8-2g = 1\8-g''
|-
|-
| | [[17L 7s]]
| | [[17L 7s]]
Line 1,545: Line 1,545:
| | 7g-2+5-17g = 3-10g
| | 7g-2+5-17g = 3-10g
|-
|-
| | [[18L 6s]]
| | ''[[18L 6s]] = 3L 1s (6)''
| | 1\24 < g < 1\18
| | ''1\24 < g < 1\18''
| | g = 2\42, 3\60, 4\78
| | ''g = 2\42, 3\60, 4\78''
| | g+1\6-3g = 1\6-2g
| | ''g+1\6-3g = 1\6-2g''
|-
|-
| | [[19L 5s]]
| | [[19L 5s]]
Line 1,555: Line 1,555:
| | 5g-5+4-19g = 1-18g
| | 5g-5+4-19g = 1-18g
|-
|-
| | [[20L 4s]]
| | ''[[20L 4s]] = 5L 1s (4)''
| | 1\24 < g < 1\20
| | ''1\24 < g < 1\20''
| | g = 2\44, 3\64, 4\84
| | ''g = 2\44, 3\64, 4\84''
| | g+1\4-5g = 1\4-4g
| | ''g+1\4-5g = 1\4-4g''
|-
|-
| | [[21L 3s]]
| | ''[[21L 3s]] = 7L 1s (3)''
| | 1\24 < g < 1\21
| | ''1\24 < g < 1\21''
| | g = 2\45, 3\66, 4\87
| | ''g = 2\45, 3\66, 4\87''
| | g+1\3-7g = 1\3-6g
| | ''g+1\3-7g = 1\3-6g''
|-
|-
| | [[22L 2s]]
| | ''[[22L 2s]] = 11L 1s (2)''
| | 1\24 < g < 1\22
| | ''1\24 < g < 1\22''
| | g = 2\46, 3\68, 4\90
| | ''g = 2\46, 3\68, 4\90''
| | g+1\2-11g = 1\2-10g
| | ''g+1\2-11g = 1\2-10g''
|-
|-
| | [[23L 1s]]
| | [[23L 1s|''23L 1s'']]
| | 1\24 < g < 1\23
| | ''1\24 < g < 1\23''
| | g = 2\47, 3\70, 4\93
| | ''g = 2\47, 3\70, 4\93''
| | g+1-23g = 1-22g
| | ''g+1-23g = 1-22g''
|}
|}


Line 1,579: Line 1,579:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | Large-small numbers
! | L-s pattern
! | Generator range
! | Generator range
! | Boundaries of propriety, maximum expressiveness, diatonicity
! | Boundaries of best, better, good behavior
! | Large step+Small step
! | Large step-Small step
|-
|-
| | [[1L 24s]]
| | [[1L 24s]]
Line 1,679: Line 1,679:
| | 6g-5+16-19g = 11-13g
| | 6g-5+16-19g = 11-13g
|-
|-
| | [[20L 5s]]
| | ''[[20L 5s]] = 4L 1s (5)''
| | 1\25 < g < 1\20
| | ''1\25 < g < 1\20''
| | g = 2\45, 3\65, 4\85
| | ''g = 2\45, 3\65, 4\85''
| | g+1\5-4g = 1\5-3g
| | ''g+1\5-4g = 1\5-3g''
|-
|-
| | [[21L 4s]]
| | [[21L 4s]]
Line 1,699: Line 1,699:
| | 2g-1+11-23g = 10-21g
| | 2g-1+11-23g = 10-21g
|-
|-
| | [[24L 1s]]
| | [[24L 1s|''24L 1s'']]
| | 1\25 < g < 1\24
| | ''1\25 < g < 1\24''
| | g = 2\49, 3\73, 4\97
| | ''g = 2\49, 3\73, 4\97''
| | g+1-24g = 1-23g
| | ''g+1-24g = 1-23g''
|}
|}


Line 1,708: Line 1,708:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | Large-small numbers
! | L-s pattern
! | Generator range
! | Generator range
! | Boundaries of propriety, maximum expressiveness, diatonicity
! | Boundaries of best, better, good behavior
! | Large step+Small step
! | Large step-Small step
|-
|-
| | [[1L 25s]]
| | [[1L 25s]]
Line 1,773: Line 1,773:
| | 7g-1\2+1\2-6g = g
| | 7g-1\2+1\2-6g = g
|-
|-
| | [[13L 13s]]
| | ''[[13L 13s]] = 1L 1s (13)''
| | 1\26 < g < 1\13
| | ''1\26 < g < 1\13''
| | g = 2\39, 3\52, 4\65
| | ''g = 2\39, 3\52, 4\65''
| | g+1\13-g = 1\13
| | ''g+1\13-g = 1\13''
|-
|-
| | [[14L 12s]]
| | [[14L 12s]]
Line 1,828: Line 1,828:
| | 3g-1+8-23g = 7-20g
| | 3g-1+8-23g = 7-20g
|-
|-
| | [[24L 2s]]
| | ''[[24L 2s]] = 12L 1s (2)''
| | 1\26 < g < 1\24
| | ''1\26 < g < 1\24''
| | g = 2\50, 3\74, 4\98
| | ''g = 2\50, 3\74, 4\98''
| | g+1\2-12g = 1\2-11g
| | ''g+1\2-12g = 1\2-11g''
|-
|-
| | [[25L 1s]]
| | [[25L 1s|''25L 1s'']]
| | 1\26 < g < 1\25
| | ''1\26 < g < 1\25''
| | g = 2\51, 3\76, 4\101
| | ''g = 2\51, 3\76, 4\101''
| | g+1-25g = 1-24g
| | ''g+1-25g = 1-24g''
|}
|}


Line 1,842: Line 1,842:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | Large-small numbers
! | L-s pattern
! | Generator range
! | Generator range
! | Boundaries of propriety, maximum expressiveness, diatonicity
! | Boundaries of best, better, good behavior
! | Large step+Small step
! | Large step-Small step
|-
|-
| | [[1L 26s]]
| | [[1L 26s]]
Line 1,932: Line 1,932:
| | 10g-7+12-17g = 5-7g
| | 10g-7+12-17g = 5-7g
|-
|-
| | [[18L 9s]]
| | ''[[18L 9s]] = 2L 1s (9)''
| | 1\27 < g < 1\18
| | ''1\27 < g < 1\18''
| | g = 2\45, 3\63, 4\81
| | ''g = 2\45, 3\63, 4\81''
| | g+1\9-2g = 1\9-g
| | ''g+1\9-2g = 1\9-g''
|-
|-
| | [[19L 8s]]
| | [[19L 8s]]
Line 1,962: Line 1,962:
| | 4g-1+6-23g = 5-19g
| | 4g-1+6-23g = 5-19g
|-
|-
| | [[24L 3s]]
| | ''[[24L 3s]] = 8L 1s (3)''
| | 1\27 < g < 1\24
| | ''1\27 < g < 1\24''
| | g = 2\51, 3\75, 4\99
| | ''g = 2\51, 3\75, 4\99''
| | g+1\3-8g = 1\3-7g
| | ''g+1\3-8g = 1\3-7g''
|-
|-
| | [[25L 2s]]
| | [[25L 2s]]
Line 1,972: Line 1,972:
| | 2g-1+13-25g = 12-23g
| | 2g-1+13-25g = 12-23g
|-
|-
| | [[26L 1s]]
| | [[26L 1s|''26L 1s'']]
| | 1\27 < g < 1\26
| | ''1\27 < g < 1\26''
| | g = 2\53, 3\79, 4\105
| | ''g = 2\53, 3\79, 4\105''
| | g+1-26g = 1-25g
| | ''g+1-26g = 1-25g''
|}
|}


Line 1,981: Line 1,981:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | Large-small numbers
! | L-s pattern
! | Generator range
! | Generator range
! | Boundaries of propriety, maximum expressiveness, diatonicity
! | Boundaries of best, better, good behavior
! | Large step+Small step
! | Large step-Small step
|-
|-
| | [[1L 27s]]
| | [[1L 27s]]
Line 2,051: Line 2,051:
| | 15g-8+7-13g = 2g-1
| | 15g-8+7-13g = 2g-1
|-
|-
| | [[14L 14s]]
| | ''[[14L 14s]] = 1L 1s (14)''
| | 1\28 < g < 1\14
| | ''1\28 < g < 1\14''
| | g = 2\42, 3\56, 4\70
| | ''g = 2\42, 3\56, 4\70''
| | g+1\14-g = 1\14
| | ''g+1\14-g = 1\14''
|-
|-
| | [[15L 13s]]
| | [[15L 13s]]
Line 2,086: Line 2,086:
| | 2g-1\4+3\4-5g = 1\2-3g
| | 2g-1\4+3\4-5g = 1\2-3g
|-
|-
| | [[21L 7s]]
| | ''[[21L 7s]] = 3L 1s (7)''
| | 1\28 < g < 1\21
| | ''1\28 < g < 1\21''
| | g = 2\49, 3\70, 4\91
| | ''g = 2\49, 3\70, 4\91''
| | g+1\7-2g = 1\7-g
| | ''g+1\7-2g = 1\7-g''
|-
|-
| | [[22L 6s]]
| | [[22L 6s]]
Line 2,101: Line 2,101:
| | 5g-3+14-23g = 11-18g
| | 5g-3+14-23g = 11-18g
|-
|-
| | [[24L 4s]]
| | ''[[24L 4s]] = 6L 1s (4)''
| | 1\28 < g < 1\24
| | ''1\28 < g < 1\24''
| | g = 2\52, 3\76, 4\100
| | ''g = 2\52, 3\76, 4\100''
| | g+1\4-6g = 1\4-5g
| | ''g+1\4-6g = 1\4-5g''
|-
|-
| | [[25L 3s]]
| | [[25L 3s]]
Line 2,111: Line 2,111:
| | 3g-2+17-25g = 15+22g
| | 3g-2+17-25g = 15+22g
|-
|-
| | [[26L 2s]]
| | ''[[26L 2s]] = 13L 1s (2)''
| | 15\28 < g < 14\26
| | ''15\28 < g < 14\26''
| | g = 29\54, 43\80, 57\106
| | ''g = 29\54, 43\80, 57\106''
| | g-1\2+7-13g = 13\2-12g
| | ''g-1\2+7-13g = 13\2-12g''
|-
|-
| | [[27L 1s]]
| | [[27L 1s|''27L 1s'']]
| | 1\28 < g < 1\27
| | ''1\28 < g < 1\27''
| | g = 2\55, 3\82, 4\109
| | ''g = 2\55, 3\82, 4\109''
| | g+1-27g = 1-26g
| | ''g+1-27g = 1-26g''
|}
|}


Line 2,125: Line 2,125:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | Large-small numbers
! | L-s pattern
! | Generator range
! | Generator range
! | Boundaries of propriety, maximum expressiveness, diatonicity
! | Boundaries of best, better, good behavior
! | Large step+Small step
! | Large step-Small step
|-
|-
| | [[1L 28s]]
| | [[1L 28s]]
Line 2,265: Line 2,265:
| | 2g-1+17-27g = 16-25g
| | 2g-1+17-27g = 16-25g
|-
|-
| | [[28L 1s]]
| | [[28L 1s|''28L 1s'']]
| | 1\29 < g < 1\28
| | ''1\29 < g < 1\28''
| | g = 2\57, 3\85, 4\113
| | ''g = 2\57, 3\85, 4\113''
| | g+1-28g = 1-27g
| | ''g+1-28g = 1-27g''
|}
|}


[[Category:MOS scales]]
[[Category:MOS scales]]
[[Category:Lists of scales]]
[[Category:Lists of scales]]
Retrieved from "https://en.xen.wiki/w/Generator_ranges_of_MOS"