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Harmonotonic tuning: Difference between revisions

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5,160 edits
Line 248: Line 248:
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|-
! style="background-color: #D2EB00;" |
! style="background-color: #D2EB00;" |
! overtone series segment = 9-OS = 9-OD9
! overtone series segment = 8-OS = 8-OD9
| (1/1) || 2/1 || 3/1 || 4/1 || 5/1 || 6/1 || 7/1 || 8/1 || 9/1
| (1/1) || 2/1 || 3/1 || 4/1 || 5/1 || 6/1 || 7/1 || 8/1 || 9/1
!  
!  
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|-
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! style="background-color: #A1A200;" |
! style="background-color: #A1A200;" |
! undertone series segment = 9-US = 9-UD9 = 9-EDL
! undertone series segment = 8-US = 8-UD9
| (9/9) || 9/8 || 9/7 || 9/6 || 9/5 || 9/4 || 9/3 || 9/2 || 9/1
| (9/9) || 9/8 || 9/7 || 9/6 || 9/5 || 9/4 || 9/3 || 9/2 || 9/1
!  
!  
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! style="background-color: #FF7700;" |
! style="background-color: #FF7700;" |
! 9-OS(3/4)
! 8-OS(3/4)
| (4/4) || 7/4 || 10/4 || 13/4 || 16/4 || 19/4 || 22/4 || 25/4 || 28/4
| (4/4) || 7/4 || 10/4 || 13/4 || 16/4 || 19/4 || 22/4 || 25/4 || 28/4
!  
!  
Line 272: Line 272:
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! style="background-color: #C95E00;" |
! style="background-color: #C95E00;" |
! 9-US(3/4)
! 8-US(3/4)
| (28/28) || 28/25 || 28/22 || 28/19 || 28/16 || 28/13 || 28/10 || 28/7 || 28/4
| (28/28) || 28/25 || 28/22 || 28/19 || 28/16 || 28/13 || 28/10 || 28/7 || 28/4
!  
!  
Line 280: Line 280:
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! style="background-color: #FFC000;" |
! style="background-color: #FFC000;" |
! (1/⁴√2)-shifted overtone series segment = 9-AFS(1/⁴√2)
! (1/⁴√2)-shifted overtone series segment = 8-AFS(1/⁴√2)
| (1) || 1.84 || 2.68 || 3.52 || 4.36 || 5.20 || 6.05 || 6.89 || 7.73
| (1) || 1.84 || 2.68 || 3.52 || 4.36 || 5.20 || 6.05 || 6.89 || 7.73
!  
!  
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|-
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! style="background-color: #C59500;" |
! style="background-color: #C59500;" |
! (1/⁴√2)-shifted undertone series segment = 9-ALS(1/⁴√2)
! (1/⁴√2)-shifted undertone series segment = 8-ALS(1/⁴√2)
| (1) || 1.12 || 1.28 || 1.48 || 1.77 || 2.19 || 2.88 || 4.20 || 7.73
| (1) || 1.12 || 1.28 || 1.48 || 1.77 || 2.19 || 2.88 || 4.20 || 7.73
!  
!  
Line 304: Line 304:
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! style="background-color: #F4CCCC;" |
! style="background-color: #F4CCCC;" |
! 9 pitches of 1/2-powharmonic series = harmonic series compressed by 1/2
! 8 pitches of 1/2-powharmonic series = harmonic series compressed by 1/2
| √1 || √2 || √3 || √4 || √5 || √6 || √7 || √8 || √9
| √1 || √2 || √3 || √4 || √5 || √6 || √7 || √8 || √9
!  
!  
Line 312: Line 312:
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! style="background-color: #E06666;" |
! style="background-color: #E06666;" |
! 9 pitches of 1/2-subpowharmonic = subharmonic series compressed by 1/2
! 8 pitches of 1/2-subpowharmonic = subharmonic series compressed by 1/2
| (1) || 1.06 || 1.13 || 1.22 || 1.34 || 1.50 || 1.73 || 2.12 || 3
| (1) || 1.06 || 1.13 || 1.22 || 1.34 || 1.50 || 1.73 || 2.12 || 3
!  
!  
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! style="background-color: #00B6FF;" |
! style="background-color: #00B6FF;" |
! 9 pitches of 2-logharmonic series
! 8 pitches of 2-logharmonic series
| (1) || 1.58 || 2.00 || 2.32 || 2.58 || 2.81 || 3.00 || 3.17 || 3.32
| (1) || 1.58 || 2.00 || 2.32 || 2.58 || 2.81 || 3.00 || 3.17 || 3.32
!  
!  
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|-
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! style="background-color: #006D99;" |
! style="background-color: #006D99;" |
! 9 pitches of 2-sublogharmonic series
! 8 pitches of 2-sublogharmonic series
| (1) || 1.05 || 1.11 || 1.18 || 1.29 || 1.43 || 1.66 || 2.10 || 3.32
| (1) || 1.05 || 1.11 || 1.18 || 1.29 || 1.43 || 1.66 || 2.10 || 3.32
!  
!  
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