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Difference between revisions of "Ref: Intervals"

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{|class="wikitable"
 
{|class="wikitable"
−
! Interval<br>Name !! Just<br>Intonation<br>Ratio !!  Equal<br>Temperament !! Just<br>Intonation<br>Cents !! 12-TET<br>Cents !! Difference
+
! Interval<br>Name !! Just<br>Intonation<br>Ratio !!  Equal<br>Temperament !! %<br>Difference !! Just<br>Intonation<br>Cents !! 12-TET<br>Cents !! Cent<br>Difference
 
|-
 
|-
−
| m2 || 16:15 = 1.0666... || 1.05946   || 111.73  || 100  || -11.73
+
| m2 || 16:15 = 1.0666... || 1.05946 || -0.67563 || 111.73  || 100  || -11.73
−
|-                                    
+
|-                                    
−
| M2 || 9:8 = 1.125      || 1.1224555 || 203.91  || 200  || -3.91
+
| M2 || 9:8 = 1.125      || 1.12246 || -0.22618 || 203.91  || 200  || -3.91
−
|-                                                        
+
|-                                              
−
| m3 || 6:5 = 1.2        || 1.1891967 || 315.64  || 300  || -15.64
+
| m3 || 6:5 = 1.2        || 1.18920 || -0.90028 || 315.64  || 300  || -15.64
−
|-                                                        
+
|-                                              
−
| M3 || 5:4 = 1.25        || 1.2599063 || 386.31  || 400  || +13.69
+
| M3 || 5:4 = 1.25        || 1.25991 ||  0.79250 || 386.31  || 400  || +13.69
−
|-                                                        
+
|-                                              
−
| P4 || 4:3 = 1.333...    || 1.3348204 || 498.04  || 500  || +1.96
+
| P4 || 4:3 = 1.333...    || 1.33482 ||  0.11153 || 498.04  || 500  || +1.96
−
|-                                                        
+
|-                                              
−
| tt || 7:5 = 1.4        || 1.4141888 || 582.51  || 600  || +17.49
+
| tt || 7:5 = 1.4        || 1.41419 ||  1.01349 || 582.51  || 600  || +17.49
−
|-                                                        
+
|-                                              
−
| P5 || 3:2 = 1.5        || 1.4982764 || 701.96  || 700  || -1.96
+
| P5 || 3:2 = 1.5        || 1.49828 || -0.11491 || 701.96  || 700  || -1.96
−
|-                                                        
+
|-                                              
−
| m6 || 8:5 = 1.6        || 1.5873640 || 813.69  || 800  || -13.69
+
| m6 || 8:5 = 1.6        || 1.58736 || -0.78975 || 813.69  || 800  || -13.69
−
|-                                                        
+
|-                                              
−
| M6 || 5:3 = 1.666...    || 1.6817486 || 884.36  || 900  || +15.64
+
| M6 || 5:3 = 1.666...    || 1.68175 ||  0.90492 || 884.36  || 900  || +15.64
−
|-                                    
+
|-                                    
−
| m7 || 16:9 = 1.777...  || 1.7817454 || 996.09  || 1,000 || +3.91
+
| m7 || 16:9 = 1.777...  || 1.78175 ||  0.22318 || 996.09  || 1,000 || +3.91
−
|-                                    
+
|-                                    
−
| M7 || 15:8 = 1.875      || 1.8876880 || 1088.27  || 1,100 || +11.73
+
| M7 || 15:8 = 1.875      || 1.88769 ||  0.67669 || 1088.27  || 1,100 || +11.73
 
|}
 
|}
  

Revision as of 22:52, 22 March 2015

Root
Note 		Other
Note 		Semitones
from
Root to
Other 		Interval
Short
Name 		Interval
Full
Name 		Just
Intonation
Ratio
C C 0 U Unison 1:1
C D♭ 1 m2 Minor 2nd 16:15
C D 2 M2 (Major) 2nd 9:8
C E♭ 3 m3 Minor 3rd 6:5
C E 4 M3 Major 3rd 5:4
C F 5 P4 (Perfect) 4th 4:3
C G♭ 6 A4, d5, tt Augmented 4th/
Diminished 5th/
Tritone 		7:5
C G 7 P5 (Perfect) 5th 3:2
C A♭ 8 m6 Minor 6th 8:5
C A 9 M6 Major 6th 5:3
C B♭ 10 m7 Minor 7th 16:9
C B 11 M7 Major 7th 15:8
C C 12 U Unison or Octave 2:1
Interval
Name 		Just
Intonation
Ratio 		Equal
Temperament 		 %
Difference 		Just
Intonation
Cents 		12-TET
Cents 		Cent
Difference
m2 16:15 = 1.0666... 1.05946 -0.67563 111.73 100 -11.73
M2 9:8 = 1.125 1.12246 -0.22618 203.91 200 -3.91
m3 6:5 = 1.2 1.18920 -0.90028 315.64 300 -15.64
M3 5:4 = 1.25 1.25991 0.79250 386.31 400 +13.69
P4 4:3 = 1.333... 1.33482 0.11153 498.04 500 +1.96
tt 7:5 = 1.4 1.41419 1.01349 582.51 600 +17.49
P5 3:2 = 1.5 1.49828 -0.11491 701.96 700 -1.96
m6 8:5 = 1.6 1.58736 -0.78975 813.69 800 -13.69
M6 5:3 = 1.666... 1.68175 0.90492 884.36 900 +15.64
m7 16:9 = 1.777... 1.78175 0.22318 996.09 1,000 +3.91
M7 15:8 = 1.875 1.88769 0.67669 1088.27 1,100 +11.73
Interval Scale Map
m2 
|-|-|-|-|-|-|-|-|-|x|o|-|-|-|-|-|-|-|-|
|-|-|-|o|-|-|-|-|-|-|-|-|-|-|x|o|-|-|-|
|-|-|-|-|-|-|x|o|-|-|-|-|-|-|-|-|-|-|-|
|o|-|-|-|-|-|-|-|-|-|-|x|o|-|-|-|-|-|-|
|-|-|-|-|x|o|-|-|-|-|-|-|-|-|-|-|-|o|-|
|-|-|-|-|-|-|-|-|-|x|o|-|-|-|-|-|-|-|-|
M2 
|-|-|-|-|-|-|-|-|-|x|-|o|-|-|-|-|-|-|-|
|-|-|-|-|o|-|-|-|-|-|-|-|-|-|x|-|o|-|-|
|-|-|-|-|-|-|x|-|o|-|-|-|-|-|-|-|-|-|-|
|-|o|-|-|-|-|-|-|-|-|-|x|-|o|-|-|-|-|-|
|-|-|-|-|x|-|o|-|-|-|-|-|-|-|-|-|-|-|o|
|-|-|-|-|-|-|-|-|-|x|-|o|-|-|-|-|-|-|-|
m3 
|o|-|-|-|-|-|-|-|-|x|-|-|o|-|-|-|-|-|-|
|-|-|-|-|-|o|-|-|-|-|-|-|-|-|x|-|-|o|-|
|-|-|-|-|-|-|x|-|-|o|-|-|-|-|-|-|-|-|-|
|-|-|o|-|-|-|-|-|-|-|-|x|-|-|o|-|-|-|-|
|-|-|-|-|x|-|-|o|-|-|-|-|-|-|-|-|-|-|-|
|o|-|-|-|-|-|-|-|-|x|-|-|o|-|-|-|-|-|-|
M3 
|-|o|-|-|-|-|-|-|-|x|-|-|-|o|-|-|-|-|-|
|-|-|-|-|-|-|o|-|-|-|-|-|-|-|x|-|-|-|o|
|-|-|-|-|-|-|x|-|-|-|o|-|-|-|-|-|-|-|-|
|-|-|-|o|-|-|-|-|-|-|-|x|-|-|-|o|-|-|-|
|-|-|-|-|x|-|-|-|o|-|-|-|-|-|-|-|-|-|-|
|-|o|-|-|-|-|-|-|-|x|-|-|-|o|-|-|-|-|-|
P4 
|-|-|o|-|-|-|-|-|-|x|-|-|-|-|o|-|-|-|-|
|-|-|-|-|-|-|-|o|-|-|-|-|-|-|x|-|-|-|-|
|-|-|-|-|-|-|x|-|-|-|-|o|-|-|-|-|-|-|-|
|-|-|-|-|o|-|-|-|-|-|-|x|-|-|-|-|o|-|-|
|-|-|-|-|x|-|-|-|-|o|-|-|-|-|-|-|-|-|-|
|-|-|o|-|-|-|-|-|-|x|-|-|-|-|o|-|-|-|-|
tt/d5/A4 
|-|-|-|o|-|-|-|-|-|x|-|-|-|-|-|o|-|-|-|
|-|-|-|-|-|-|-|-|o|-|-|-|-|-|x|-|-|-|-|
|o|-|-|-|-|-|x|-|-|-|-|-|o|-|-|-|-|-|-|
|-|-|-|-|-|o|-|-|-|-|-|x|-|-|-|-|-|o|-|
|-|-|-|-|x|-|-|-|-|-|o|-|-|-|-|-|-|-|-|
|-|-|-|o|-|-|-|-|-|x|-|-|-|-|-|o|-|-|-|
P5 
|-|-|-|-|o|-|-|-|-|x|-|-|-|-|-|-|o|-|-|
|-|-|-|-|-|-|-|-|-|o|-|-|-|-|x|-|-|-|-|
|-|o|-|-|-|-|x|-|-|-|-|-|-|o|-|-|-|-|-|
|-|-|-|-|-|-|o|-|-|-|-|x|-|-|-|-|-|-|o|
|-|-|-|-|x|-|-|-|-|-|-|o|-|-|-|-|-|-|-|
|-|-|-|-|o|-|-|-|-|x|-|-|-|-|-|-|o|-|-|
m6 
|-|-|-|-|-|o|-|-|-|x|-|-|-|-|-|-|-|o|-|
|-|-|-|-|-|-|-|-|-|-|o|-|-|-|x|-|-|-|-|
|-|-|o|-|-|-|x|-|-|-|-|-|-|-|o|-|-|-|-|
|-|-|-|-|-|-|-|o|-|-|-|x|-|-|-|-|-|-|-|
|o|-|-|-|x|-|-|-|-|-|-|-|o|-|-|-|-|-|-|
|-|-|-|-|-|o|-|-|-|x|-|-|-|-|-|-|-|o|-|
M6 
|-|-|-|-|-|-|o|-|-|x|-|-|-|-|-|-|-|-|o|
|-|-|-|-|-|-|-|-|-|-|-|o|-|-|x|-|-|-|-|
|-|-|-|o|-|-|x|-|-|-|-|-|-|-|-|o|-|-|-|
|-|-|-|-|-|-|-|-|o|-|-|x|-|-|-|-|-|-|-|
|-|o|-|-|x|-|-|-|-|-|-|-|-|o|-|-|-|-|-|
|-|-|-|-|-|-|o|-|-|x|-|-|-|-|-|-|-|-|o|
m7 
|-|-|-|-|-|-|-|o|-|x|-|-|-|-|-|-|-|-|-|
|o|-|-|-|-|-|-|-|-|-|-|-|o|-|x|-|-|-|-|
|-|-|-|-|o|-|x|-|-|-|-|-|-|-|-|-|o|-|-|
|-|-|-|-|-|-|-|-|-|o|-|x|-|-|-|-|-|-|-|
|-|-|o|-|x|-|-|-|-|-|-|-|-|-|o|-|-|-|-|
|-|-|-|-|-|-|-|o|-|x|-|-|-|-|-|-|-|-|-|
M7 
|-|-|-|-|-|-|-|-|o|x|-|-|-|-|-|-|-|-|-|
|-|o|-|-|-|-|-|-|-|-|-|-|-|o|x|-|-|-|-|
|-|-|-|-|-|o|x|-|-|-|-|-|-|-|-|-|-|o|-|
|-|-|-|-|-|-|-|-|-|-|o|x|-|-|-|-|-|-|-|
|-|-|-|o|x|-|-|-|-|-|-|-|-|-|-|o|-|-|-|
|-|-|-|-|-|-|-|-|o|x|-|-|-|-|-|-|-|-|-|

|m3|M3|P4|tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|M3|P4|tt|P5|m6|M6|
|m7|M7|U-|m2|M2|m3|M3|P4|tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|M3|
|tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|M3|P4|tt|P5|m6|M6|m7|M7|U-|
|m2|M2|m3|M3|P4|tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|M3|P4|tt|P5|
|m6|M6|m7|M7|U-|m2|M2|m3|M3|P4|tt|P5|m6|M6|m7|M7|U-|m2|M2|
|m3|M3|P4|tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|M3|P4|tt|P5|m6|M6|
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