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Difference between revisions of "Ref: Intervals"

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Line 29: Line 29:
 
| C  || C  || 12 || U  || Unison or Octave || 2:1
 
| C  || C  || 12 || U  || Unison or Octave || 2:1
 
|}
 
|}
−
 
  
 
{|class="wikitable"
 
{|class="wikitable"
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| M7 || 15:8 = 1.875      || 1.8876880 || 1088.27  || 1,100 || +11.73
 
| M7 || 15:8 = 1.875      || 1.8876880 || 1088.27  || 1,100 || +11.73
 
|}
 
|}
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{|class="wikitable"
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! Interval !! Scale Map
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|-
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| m2
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|
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<pre>
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|-|-|-|-|-|-|x|o|-|-|-|-|
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|o|-|-|-|-|-|-|-|-|-|-|x|
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|-|-|-|x|o|-|-|-|-|-|-|-|
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|-|-|-|-|-|-|-|-|x|o|-|-|
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|-|x|o|-|-|-|-|-|-|-|-|-|
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|-|-|-|-|-|-|x|o|-|-|-|-|
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</pre>
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|-
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| M2
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|
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<pre>
 +
|-|-|-|-|-|-|x|-|o|-|-|-|
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|-|o|-|-|-|-|-|-|-|-|-|x|
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|-|-|-|x|-|o|-|-|-|-|-|-|
 +
|-|-|-|-|-|-|-|-|x|-|o|-|
 +
|-|x|-|o|-|-|-|-|-|-|-|-|
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|-|-|-|-|-|-|x|-|o|-|-|-|
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</pre>
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|-
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| m3
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|
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<pre>
 +
|-|-|-|-|-|-|x|-|-|o|-|-|
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|-|-|o|-|-|-|-|-|-|-|-|x|
 +
|-|-|-|x|-|-|o|-|-|-|-|-|
 +
|-|-|-|-|-|-|-|-|x|-|-|o|
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|-|x|-|-|o|-|-|-|-|-|-|-|
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|-|-|-|-|-|-|x|-|-|o|-|-|
 +
</pre>
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|-
 +
| M3
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|
 +
<pre>
 +
|-|-|-|-|-|-|x|-|-|-|o|-|
 +
|-|-|-|o|-|-|-|-|-|-|-|x|
 +
|-|-|-|x|-|-|-|o|-|-|-|-|
 +
|o|-|-|-|-|-|-|-|x|-|-|-|
 +
|-|x|-|-|-|o|-|-|-|-|-|-|
 +
|-|-|-|-|-|-|x|-|-|-|o|-|
 +
</pre>
 +
|-
 +
| P4
 +
|
 +
<pre>
 +
|-|-|-|-|-|-|x|-|-|-|-|o|
 +
|-|-|-|-|o|-|-|-|-|-|-|x|
 +
|-|-|-|x|-|-|-|-|o|-|-|-|
 +
|-|o|-|-|-|-|-|-|x|-|-|-|
 +
|-|x|-|-|-|-|o|-|-|-|-|-|
 +
|-|-|-|-|-|-|x|-|-|-|-|o|
 +
</pre>
 +
|-
 +
| tt/d5/A4
 +
|
 +
<pre>
 +
|o|-|-|-|-|-|x|-|-|-|-|-|
 +
|-|-|-|-|-|o|-|-|-|-|-|x|
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|-|-|-|x|-|-|-|-|-|o|-|-|
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|-|-|o|-|-|-|-|-|x|-|-|-|
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|-|x|-|-|-|-|-|o|-|-|-|-|
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|o|-|-|-|-|-|x|-|-|-|-|-|
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</pre>
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|-
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| P5
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|
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<pre>
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|-|o|-|-|-|-|x|-|-|-|-|-|
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|-|-|-|-|-|-|o|-|-|-|-|x|
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|-|-|-|x|-|-|-|-|-|-|o|-|
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|-|-|-|o|-|-|-|-|x|-|-|-|
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|-|x|-|-|-|-|-|-|o|-|-|-|
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|-|o|-|-|-|-|x|-|-|-|-|-|
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</pre>
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|-
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| m6
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|
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<pre>
 +
|-|-|o|-|-|-|x|-|-|-|-|-|
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|-|-|-|-|-|-|-|o|-|-|-|x|
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|-|-|-|x|-|-|-|-|-|-|-|o|
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|-|-|-|-|o|-|-|-|x|-|-|-|
 +
|-|x|-|-|-|-|-|-|-|o|-|-|
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|-|-|o|-|-|-|x|-|-|-|-|-|
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</pre>
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|-
 +
| M6
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|
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<pre>
 +
|-|-|-|o|-|-|x|-|-|-|-|-|
 +
|-|-|-|-|-|-|-|-|o|-|-|x|
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|o|-|-|x|-|-|-|-|-|-|-|-|
 +
|-|-|-|-|-|o|-|-|x|-|-|-|
 +
|-|x|-|-|-|-|-|-|-|-|o|-|
 +
|-|-|-|o|-|-|x|-|-|-|-|-|
 +
</pre>
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|-
 +
| m7
 +
|
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<pre>
 +
|-|-|-|-|o|-|x|-|-|-|-|-|
 +
|-|-|-|-|-|-|-|-|-|o|-|x|
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|-|o|-|x|-|-|-|-|-|-|-|-|
 +
|-|-|-|-|-|-|o|-|x|-|-|-|
 +
|-|x|-|-|-|-|-|-|-|-|-|o|
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|-|-|-|-|o|-|x|-|-|-|-|-|
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</pre>
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|-
 +
| M7
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|
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<pre>
 +
|-|-|-|-|-|o|x|-|-|-|-|-|
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|-|-|-|-|-|-|-|-|-|-|o|x|
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|-|-|o|x|-|-|-|-|-|-|-|-|
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|-|-|-|-|-|-|-|o|x|-|-|-|
 +
|o|x|-|-|-|-|-|-|-|-|-|-|
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|-|-|-|-|-|o|x|-|-|-|-|-|
 +
</pre>
 +
|}
 +
 +
<pre>
 +
 +
|tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|M3|P4|
 +
|m2|M2|m3|M3|P4|tt|P5|m6|M6|m7|M7|U-|
 +
|M6|m7|M7|U-|m2|M2|m3|M3|P4|tt|P5|m6|
 +
|M3|P4|tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|
 +
|o-|U-|m2|M2|m3|M3|P4|tt|P5|m6|M6|m7|
 +
|tt|P5|m6|M6|m7|M7|U-|m2|M2|m3|M3|P4|
 +
</pre>

Revision as of 22:20, 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 		Just
Intonation
Cents 		12-TET
Cents 		Difference
m2 16:15 = 1.0666... 1.05946 111.73 100 -11.73
M2 9:8 = 1.125 1.1224555 203.91 200 -3.91
m3 6:5 = 1.2 1.1891967 315.64 300 -15.64
M3 5:4 = 1.25 1.2599063 386.31 400 +13.69
P4 4:3 = 1.333... 1.3348204 498.04 500 +1.96
tt 7:5 = 1.4 1.4141888 582.51 600 +17.49
P5 3:2 = 1.5 1.4982764 701.96 700 -1.96
m6 8:5 = 1.6 1.5873640 813.69 800 -13.69
M6 5:3 = 1.666... 1.6817486 884.36 900 +15.64
m7 16:9 = 1.777... 1.7817454 996.09 1,000 +3.91
M7 15:8 = 1.875 1.8876880 1088.27 1,100 +11.73
Interval Scale Map
m2 
|-|-|-|-|-|-|x|o|-|-|-|-|
|o|-|-|-|-|-|-|-|-|-|-|x|
|-|-|-|x|o|-|-|-|-|-|-|-|
|-|-|-|-|-|-|-|-|x|o|-|-|
|-|x|o|-|-|-|-|-|-|-|-|-|
|-|-|-|-|-|-|x|o|-|-|-|-|
M2 
|-|-|-|-|-|-|x|-|o|-|-|-|
|-|o|-|-|-|-|-|-|-|-|-|x|
|-|-|-|x|-|o|-|-|-|-|-|-|
|-|-|-|-|-|-|-|-|x|-|o|-|
|-|x|-|o|-|-|-|-|-|-|-|-|
|-|-|-|-|-|-|x|-|o|-|-|-|
m3 
|-|-|-|-|-|-|x|-|-|o|-|-|
|-|-|o|-|-|-|-|-|-|-|-|x|
|-|-|-|x|-|-|o|-|-|-|-|-|
|-|-|-|-|-|-|-|-|x|-|-|o|
|-|x|-|-|o|-|-|-|-|-|-|-|
|-|-|-|-|-|-|x|-|-|o|-|-|
M3 
|-|-|-|-|-|-|x|-|-|-|o|-|
|-|-|-|o|-|-|-|-|-|-|-|x|
|-|-|-|x|-|-|-|o|-|-|-|-|
|o|-|-|-|-|-|-|-|x|-|-|-|
|-|x|-|-|-|o|-|-|-|-|-|-|
|-|-|-|-|-|-|x|-|-|-|o|-|
P4 
|-|-|-|-|-|-|x|-|-|-|-|o|
|-|-|-|-|o|-|-|-|-|-|-|x|
|-|-|-|x|-|-|-|-|o|-|-|-|
|-|o|-|-|-|-|-|-|x|-|-|-|
|-|x|-|-|-|-|o|-|-|-|-|-|
|-|-|-|-|-|-|x|-|-|-|-|o|
tt/d5/A4 
|o|-|-|-|-|-|x|-|-|-|-|-|
|-|-|-|-|-|o|-|-|-|-|-|x|
|-|-|-|x|-|-|-|-|-|o|-|-|
|-|-|o|-|-|-|-|-|x|-|-|-|
|-|x|-|-|-|-|-|o|-|-|-|-|
|o|-|-|-|-|-|x|-|-|-|-|-|
P5 
|-|o|-|-|-|-|x|-|-|-|-|-|
|-|-|-|-|-|-|o|-|-|-|-|x|
|-|-|-|x|-|-|-|-|-|-|o|-|
|-|-|-|o|-|-|-|-|x|-|-|-|
|-|x|-|-|-|-|-|-|o|-|-|-|
|-|o|-|-|-|-|x|-|-|-|-|-|
m6 
|-|-|o|-|-|-|x|-|-|-|-|-|
|-|-|-|-|-|-|-|o|-|-|-|x|
|-|-|-|x|-|-|-|-|-|-|-|o|
|-|-|-|-|o|-|-|-|x|-|-|-|
|-|x|-|-|-|-|-|-|-|o|-|-|
|-|-|o|-|-|-|x|-|-|-|-|-|
M6 
|-|-|-|o|-|-|x|-|-|-|-|-|
|-|-|-|-|-|-|-|-|o|-|-|x|
|o|-|-|x|-|-|-|-|-|-|-|-|
|-|-|-|-|-|o|-|-|x|-|-|-|
|-|x|-|-|-|-|-|-|-|-|o|-|
|-|-|-|o|-|-|x|-|-|-|-|-|
m7 
|-|-|-|-|o|-|x|-|-|-|-|-|
|-|-|-|-|-|-|-|-|-|o|-|x|
|-|o|-|x|-|-|-|-|-|-|-|-|
|-|-|-|-|-|-|o|-|x|-|-|-|
|-|x|-|-|-|-|-|-|-|-|-|o|
|-|-|-|-|o|-|x|-|-|-|-|-|
M7 
|-|-|-|-|-|o|x|-|-|-|-|-|
|-|-|-|-|-|-|-|-|-|-|o|x|
|-|-|o|x|-|-|-|-|-|-|-|-|
|-|-|-|-|-|-|-|o|x|-|-|-|
|o|x|-|-|-|-|-|-|-|-|-|-|
|-|-|-|-|-|o|x|-|-|-|-|-|


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