Xenharmonic Wiki

Harmonotonic tuning: Difference between revisions

← Older editNewer edit →
VisualWikitext
Cmloegcmluin (talk | contribs)
autopatrolled, emailconfirmed
5,160 edits
Cmloegcmluin (talk | contribs)
autopatrolled, emailconfirmed
5,160 edits
Line 211: Line 211:
| (4/4) || 5/4 || 6/4 || 7/4 || 8/4 ||''5/2''||''3/1''||''7/2''||''4/1''
| (4/4) || 5/4 || 6/4 || 7/4 || 8/4 ||''5/2''||''3/1''||''7/2''||''4/1''
!  
!  
| 0.00 || 0.32 || 0.58 || 0.81 || 1.00 ||''1.32''||''1.58''||''1.81''||''2.00''
| (0) || 0.32 || 0.58 || 0.81 || 1.00 ||''1.32''||''1.58''||''1.81''||''2.00''
!  
!  
| 1/1 || 4/5 || 2/3 || 4/7 || 1/2 ||''2/5''||''1/3''||''2/7''||''1/4''
| (1/1) || 4/5 || 2/3 || 4/7 || 1/2 ||''2/5''||''1/3''||''2/7''||''1/4''
|-
|-
! style="background-color: #34A853;" |
! style="background-color: #34A853;" |
Line 219: Line 219:
| (2⁰⸍⁴) || 2¹⸍⁴ || 2²⸍⁴ || 2³⸍⁴ || 2⁴⸍⁴ ||''2.38''||''2.83''||''3.36''||''4''
| (2⁰⸍⁴) || 2¹⸍⁴ || 2²⸍⁴ || 2³⸍⁴ || 2⁴⸍⁴ ||''2.38''||''2.83''||''3.36''||''4''
!  
!  
| 0.00 || 0.25 || 0.50 || 0.75 || 1.00 ||''1.25''||''1.50''||''1.75''||''2.00''
| (0) || 0.25 || 0.50 || 0.75 || 1.00 ||''1.25''||''1.50''||''1.75''||''2.00''
!  
!  
| 1.00 || 0.84 || 0.71 || 0.59 || 0.50 ||''0.42''||''0.35''||''0.30''||''0.25''
| (1) || 0.84 || 0.71 || 0.59 || 0.50 ||''0.42''||''0.35''||''0.30''||''0.25''
|-
|-
! style="background-color: #45818E;" |
! style="background-color: #45818E;" |
Line 227: Line 227:
| (8/8) || 8/7 || 8/6 || 8/5 || 8/4 ||''16/7''||''8/3''||''16/5''||''4/1''
| (8/8) || 8/7 || 8/6 || 8/5 || 8/4 ||''16/7''||''8/3''||''16/5''||''4/1''
!  
!  
| 0.00 || 0.19 || 0.42 || 0.68 || 1.00 ||''1.19''||''1.42''||''1.68''||''2.00''
| (0) || 0.19 || 0.42 || 0.68 || 1.00 ||''1.19''||''1.42''||''1.68''||''2.00''
!  
!  
| 1/1 || 7/8 || 3/4 || 5/8 || 1/2 ||''7/16''||''3/8''||''5/16''||''1/4''
| (1/1) || 7/8 || 3/4 || 5/8 || 1/2 ||''7/16''||''3/8''||''5/16''||''1/4''
|-
|-
! style="background-color: #B4A7D6;" |
! style="background-color: #B4A7D6;" |
! 4-EFDφ
! 4-EFDφ
| 1+(0/4)(φ-1) || 1+(1/4)(φ-1) || 1+(2/4)(φ-1) || 1+(3/4)(φ-1) || 1+(4/4)(φ-1) ||''1.87''||''2.12''||''2.37''||''2.62''
| (1+(0/4)(φ-1)) || 1+(1/4)(φ-1) || 1+(2/4)(φ-1) || 1+(3/4)(φ-1) || 1+(4/4)(φ-1) ||''1.87''||''2.12''||''2.37''||''2.62''
!  
!  
| 0.00 || 0.21 || 0.39 || 0.55 || 0.69 ||''0.90''||''1.08''||''1.24''||''1.39''
| (0) || 0.21 || 0.39 || 0.55 || 0.69 ||''0.90''||''1.08''||''1.24''||''1.39''
!  
!  
| 1.00 || 0.87 || 0.76 || 0.68 || 0.62 ||''0.54''||''0.47''||''0.42''||''0.38''
| (1) || 0.87 || 0.76 || 0.68 || 0.62 ||''0.54''||''0.47''||''0.42''||''0.38''
|-
|-
! style="background-color: #674EA7;" |
! style="background-color: #674EA7;" |
Line 243: Line 243:
| (1) || 1.11 || 1.24 || 1.40 || φ ||''1.79''||''2.00''||''2.27''||''2.62''
| (1) || 1.11 || 1.24 || 1.40 || φ ||''1.79''||''2.00''||''2.27''||''2.62''
!  
!  
| 0.00 || 0.14 || 0.31 || 0.49 || 0.69 ||''0.84''||''1.00''||''1.18''||''1.39''
| (0) || 0.14 || 0.31 || 0.49 || 0.69 ||''0.84''||''1.00''||''1.18''||''1.39''
!  
!  
| 1.00 || 0.90 || 0.81 || 0.71 || 0.62 ||''0.56''||''0.50''||''0.44''||''0.38''
| (1) || 0.90 || 0.81 || 0.71 || 0.62 ||''0.56''||''0.50''||''0.44''||''0.38''
|-
|-
! style="background-color: #D2EB00;" |
! style="background-color: #D2EB00;" |
Line 251: Line 251:
| (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
!  
!  
| 0.00 || 1.00 || 1.58 || 2.00 || 2.32 || 2.58 || 2.81 || 3.00 || 3.17
| (0) || 1.00 || 1.58 || 2.00 || 2.32 || 2.58 || 2.81 || 3.00 || 3.17
!  
!  
| 1/1 || 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
|-
|-
! style="background-color: #A1A200;" |
! style="background-color: #A1A200;" |
Line 259: Line 259:
| (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
!  
!  
| 0.00 || 0.17 || 0.36 || 0.58 || 0.85 || 1.17 || 1.58 || 2.17 || 3.17
| (0) || 0.17 || 0.36 || 0.58 || 0.85 || 1.17 || 1.58 || 2.17 || 3.17
!  
!  
| 1/1 || 8/9 || 7/9 || 2/3 || 5/9 || 4/9 || 1/3 || 2/9 || 1/9
| (1/1) || 8/9 || 7/9 || 2/3 || 5/9 || 4/9 || 1/3 || 2/9 || 1/9
|-
|-
! style="background-color: #FF7700;" |
! style="background-color: #FF7700;" |
Line 267: Line 267:
| (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
!  
!  
| 0.00 || 0.81 || 1.32 || 1.70 || 2.00 || 2.25 || 2.46 || 2.64 || 2.81
| (0) || 0.81 || 1.32 || 1.70 || 2.00 || 2.25 || 2.46 || 2.64 || 2.81
!  
!  
| 1/1 || 4/7 || 2/5 || 4/13 || 1/4 || 4/19 || 2/11 || 4/25 || 1/7
| (1/1) || 4/7 || 2/5 || 4/13 || 1/4 || 4/19 || 2/11 || 4/25 || 1/7
|-
|-
! style="background-color: #C95E00;" |
! style="background-color: #C95E00;" |
Line 275: Line 275:
| (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
!  
!  
| 0.00 || 0.16 || 0.35 || 0.56 || 0.81 || 1.11 || 1.49 || 2.00 || 2.81
| (0) || 0.16 || 0.35 || 0.56 || 0.81 || 1.11 || 1.49 || 2.00 || 2.81
!  
!  
| 1/1 || 25/28 || 11/14 || 19/28 || 4/7 || 13/28 || 5/14 || 1/4 || 1/7
| (1/1) || 25/28 || 11/14 || 19/28 || 4/7 || 13/28 || 5/14 || 1/4 || 1/7
|-
|-
! style="background-color: #FFC000;" |
! style="background-color: #FFC000;" |
Line 283: Line 283:
| (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
!  
!  
| 0.00 || 0.88 || 1.42 || 1.82 || 2.13 || 2.38 || 2.60 || 2.78 || 2.95
| (0) || 0.88 || 1.42 || 1.82 || 2.13 || 2.38 || 2.60 || 2.78 || 2.95
!  
!  
| 1.00 || 0.54 || 0.37 || 0.28 || 0.23 || 0.19 || 0.17 || 0.15 || 0.13
| (1) || 0.54 || 0.37 || 0.28 || 0.23 || 0.19 || 0.17 || 0.15 || 0.13
|-
|-
! style="background-color: #C59500;" |
! style="background-color: #C59500;" |
Line 291: Line 291:
| (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
!  
!  
| 0.00 || 0.17 || 0.35 || 0.57 || 0.82 || 1.13 || 1.53 || 2.07 || 2.95
| (0) || 0.17 || 0.35 || 0.57 || 0.82 || 1.13 || 1.53 || 2.07 || 2.95
!  
!  
| 1.00 || 0.89 || 0.78 || 0.67 || 0.56 || 0.46 || 0.35 || 0.24 || 0.13
| (1) || 0.89 || 0.78 || 0.67 || 0.56 || 0.46 || 0.35 || 0.24 || 0.13
|-
|-
! style="background-color: #00CFA9;" |
! style="background-color: #00CFA9;" |
Line 299: Line 299:
| (5⁰/4⁰) || 5¹/4¹ || 5²/4² || 5³/4³ || 5⁴/4⁴ || 5⁵/4⁵ || 5⁶/4⁶ || 5⁷/4⁷ || 5⁸/4⁸
| (5⁰/4⁰) || 5¹/4¹ || 5²/4² || 5³/4³ || 5⁴/4⁴ || 5⁵/4⁵ || 5⁶/4⁶ || 5⁷/4⁷ || 5⁸/4⁸
!  
!  
| 0.00 || 0.32 || 0.64 || 0.97 || 1.29 || 1.61 || 1.93 || 2.25 || 2.58
| (0) || 0.32 || 0.64 || 0.97 || 1.29 || 1.61 || 1.93 || 2.25 || 2.58
!  
!  
| 1/1 || 4/5 || 16/25 || 64/125 || 256/625 || 1024/3125 || 4096/15625 || 16384/78125 || 65536/390625
| (1/1) || 4/5 || 16/25 || 64/125 || 256/625 || 1024/3125 || 4096/15625 || 16384/78125 || 65536/390625
|-
|-
! style="background-color: #F4CCCC;" |
! style="background-color: #F4CCCC;" |
Line 307: Line 307:
| √1 || √2 || √3 || √4 || √5 || √6 || √7 || √8 || √9
| √1 || √2 || √3 || √4 || √5 || √6 || √7 || √8 || √9
!  
!  
| 0.00 || 0.50 || 0.79 || 1.00 || 1.16 || 1.29 || 1.40 || 1.50 || 1.58
| (0) || 0.50 || 0.79 || 1.00 || 1.16 || 1.29 || 1.40 || 1.50 || 1.58
!  
!  
| 1.00 || 0.71 || 0.58 || 0.50 || 0.45 || 0.41 || 0.38 || 0.35 || 0.33
| (1) || 0.71 || 0.58 || 0.50 || 0.45 || 0.41 || 0.38 || 0.35 || 0.33
|-
|-
! style="background-color: #E06666;" |
! style="background-color: #E06666;" |
Line 315: Line 315:
| (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
!  
!  
| 0.00 || 0.08 || 0.18 || 0.29 || 0.42 || 0.58 || 0.79 || 1.08 || 1.58
| (0) || 0.08 || 0.18 || 0.29 || 0.42 || 0.58 || 0.79 || 1.08 || 1.58
!  
!  
| 1.00 || 0.94 || 0.88 || 0.82 || 0.75 || 0.67 || 0.58 || 0.47 || 0.33
| (1) || 0.94 || 0.88 || 0.82 || 0.75 || 0.67 || 0.58 || 0.47 || 0.33
|-
|-
! style="background-color: #00B6FF;" |
! style="background-color: #00B6FF;" |
Line 323: Line 323:
| (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
!  
!  
| 0.00 || 0.66 || 1.00 || 1.22 || 1.37 || 1.49 || 1.58 || 1.66 || 1.73
| (0) || 0.66 || 1.00 || 1.22 || 1.37 || 1.49 || 1.58 || 1.66 || 1.73
!  
!  
| 1.00 || 0.63 || 0.50 || 0.43 || 0.39 || 0.36 || 0.33 || 0.32 || 0.30
| (1) || 0.63 || 0.50 || 0.43 || 0.39 || 0.36 || 0.33 || 0.32 || 0.30
|-
|-
! style="background-color: #006D99;" |
! style="background-color: #006D99;" |
Line 331: Line 331:
| (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
!  
!  
| 0.00 || 0.07 || 0.15 || 0.24 || 0.36 || 0.52 || 0.73 || 1.07 || 1.73
| (0) || 0.07 || 0.15 || 0.24 || 0.36 || 0.52 || 0.73 || 1.07 || 1.73
!  
!  
| 1.00 || 0.95 || 0.90 || 0.85 || 0.78 || 0.70 || 0.60 || 0.48 || 0.30
| (1) || 0.95 || 0.90 || 0.85 || 0.78 || 0.70 || 0.60 || 0.48 || 0.30
|}
|}


Retrieved from "https://en.xen.wiki/w/Harmonotonic_tuning"