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100edo: Difference between revisions

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Line 269: Line 269:
| |Interval name (decatonic)
| |Interval name (decatonic)
| |Interval name (superpyth diatonic)
| |Interval name (superpyth diatonic)
| |Pure interval size [multiplicity]
| |Pure interval size [multiplicity] <br /> Difference from 22 edo
| |Dog interval size [multiplicity]
| |Dog interval size [multiplicity] <br /> Difference from 22 edo
|-
|-
| |1
| |1
| |Diminished 2nd<span style="vertical-align: sub;">10</span>
| |Diminished 2nd<span style="vertical-align: sub;">10</span>
| |Minor second
| |Minor second
| |60¢ [12]
| |60¢ [12] <br />5.4545¢
| |48¢ [10]
| |48¢ [10] <br />-6.5455¢
|-
|-
| | 2
| | 2
| |Minor 2nd<span style="vertical-align: sub;">10</span>
| |Minor 2nd<span style="vertical-align: sub;">10</span>
| |Augmented seventh
| |Augmented seventh
| |108¢ [20]
| |108¢ [20] <br />-1.091¢
| |120¢ [2]
| |120¢ [2] <br />10.909¢
|-
|-
| |3
| |3
| |Major 2nd<span style="vertical-align: sub;">10</span>
| |Major 2nd<span style="vertical-align: sub;">10</span>
| |Augmented unison
| |Augmented unison
| |''168¢ [14]''
| |''168¢ [14]'' <br />4.364¢
| |''156<span style="line-height: 1.5;">¢ [8]</span>''
| |''156¢ [8]'' <br />-7.636¢
|-
|-
| |4
| |4
| |Minor 3rd<span style="vertical-align: sub;">10</span>
| |Minor 3rd<span style="vertical-align: sub;">10</span>
| |Major second
| |Major second
| | 216¢ [18]
| | 216¢ [18] <br />-2.182¢
| |228¢ [4]
| |228¢ [4] <br />9.818¢
|-
|-
| |5
| |5
| |Major 3rd<span style="vertical-align: sub;">10</span>
| |Major 3rd<span style="vertical-align: sub;">10</span>
| |Minor third
| |Minor third
| |276¢ [16]
| |276¢ [16] <br />3.273¢
| |264¢ [6]
| |264¢ [6] <br />-8.727¢
|-
|-
| |6
| |6
| |Minor 4th<span style="vertical-align: sub;">10</span>
| |Minor 4th<span style="vertical-align: sub;">10</span>
| |Diminished fourth
| |Diminished fourth
| |''324¢ [16]''
| |''324¢ [16]''<br />-3.273¢
| |''336¢ [6]''
| |''336¢ [6]''<br />8.727¢
|-
|-
| |7
| |7
| |Major 4th<span style="vertical-align: sub;">10</span>
| |Major 4th<span style="vertical-align: sub;">10</span>
| |Augmented second
| |Augmented second
| |384¢ [18]
| |384¢ [18] <br />2.182¢
| |372¢ [4]
| |372¢ [4] <br />-9.818¢
|-
|-
| |8
| |8
Line 319: Line 319:
<span style="vertical-align: sub;">Diminished </span>5th<span style="vertical-align: sub;">10</span>
<span style="vertical-align: sub;">Diminished </span>5th<span style="vertical-align: sub;">10</span>
| |Major third
| |Major third
| |432¢ [14]
| |432¢ [14] <br />-4.364¢
| |444¢ [8]
| |444¢ [8] <br />7.636¢
|-
|-
| |9
| |9
| |Perfect 5th<span style="vertical-align: sub;">10</span>
| |Perfect 5th<span style="vertical-align: sub;">10</span>
| |Perfect fourth
| |Perfect fourth
| |492¢ [20]
| |492¢ [20] <br />1.091¢
| |480¢ [2]
| |480¢ [2] <br />-10.909¢
|-
|-
| |10
| |10
Line 333: Line 333:
Diminished 6th<span style="vertical-align: sub;">10</span>
Diminished 6th<span style="vertical-align: sub;">10</span>
| | Diminished fifth
| | Diminished fifth
| |540¢ [12]
| |540¢ [12] <br />-5.4545¢
| |552¢ [10]
| |552¢ [10] <br />6.5455¢
|-
|-
| |11
| |11
Line 342: Line 342:
Diminished sixth
Diminished sixth
| |600¢ [20]
| |600¢ [20]
| |588¢ [1]
| |588¢ [1] <br />-12¢


612¢ [1]
612¢ [1] <br />12¢
|-
|-
| |12
| |12
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Diminished 7th<span style="vertical-align: sub;">10</span>
Diminished 7th<span style="vertical-align: sub;">10</span>
| |Augmented fourth
| |Augmented fourth
| |660¢ [12]
| |660¢ [12] <br />6.5455¢
| |648¢ [10]
| |648¢ [10] <br />-5.4545¢
|-
|-
| |13
| |13
| |Perfect 7th<span style="vertical-align: sub;">10</span>
| |Perfect 7th<span style="vertical-align: sub;">10</span>
| |Perfect fifth
| |Perfect fifth
| |708¢ [20]
| |708¢ [20] <br />-1.091¢
| |720¢ [2]
| |720¢ [2] <br />10.909¢
|-
|-
| |14
| |14
Line 365: Line 365:
Diminished 8th<span style="vertical-align: sub;">10</span>
Diminished 8th<span style="vertical-align: sub;">10</span>
| |Minor sixth
| |Minor sixth
| |768¢ [14]
| |768¢ [14] <br />4.364¢
| |756¢ [8]
| |756¢ [8] <br />-7.636¢
|-
|-
| |15
| |15
| |Minor 8th<span style="vertical-align: sub;">10</span>
| |Minor 8th<span style="vertical-align: sub;">10</span>
| | Diminished seventh
| | Diminished seventh
| |816¢ [18]
| |816¢ [18] <br />-2.182¢
| |828¢ [4]
| |828¢ [4] <br />9.818¢
|-
|-
| |16
| |16
| |Major 8th<span style="vertical-align: sub;">10</span>
| |Major 8th<span style="vertical-align: sub;">10</span>
| |Augmented fifth
| |Augmented fifth
| |''876¢ [16]''
| |''876¢ [16]''<br />3.273¢
| |''864¢ [6]''
| |''864¢ [6]''<br />-8.727¢
|-
|-
| | 17
| | 17
| |Minor 9th<span style="vertical-align: sub;">10</span>
| |Minor 9th<span style="vertical-align: sub;">10</span>
| |Major sixth
| |Major sixth
| |924¢ [16]
| |924¢ [16] <br />-3.273¢
| |936¢ [6]
| |936¢ [6] <br />8.727¢
|-
|-
| |18
| |18
| |Major 9th<span style="vertical-align: sub;">10</span>
| |Major 9th<span style="vertical-align: sub;">10</span>
| |Minor seventh
| |Minor seventh
| |984¢ [18]
| |984¢ [18] <br />2.182¢
| |972¢ [4]
| |972¢ [4] <br />-9.818¢
|-
|-
| |19
| |19
| | Minor 10th<span style="vertical-align: sub;">10</span>
| | Minor 10th<span style="vertical-align: sub;">10</span>
| |Diminished octave
| |Diminished octave
| |''1032¢ [14]''
| |''1032¢ [14]''<br />-4.364¢
| |''1044¢ [8]''
| |''1044¢ [8]''<br />7.636¢
|-
|-
| |20
| |20
| | Major 10th<span style="vertical-align: sub;">10</span>
| | Major 10th<span style="vertical-align: sub;">10</span>
| |Diminished second
| |Diminished second
| |1092¢ [20]
| |1092¢ [20] <br />1.091¢
| |1080¢ [2]
| |1080¢ [2] <br />-10.909¢
|-
|-
| |21
| |21
Line 409: Line 409:
Diminished 11th<span style="vertical-align: sub;">10</span>
Diminished 11th<span style="vertical-align: sub;">10</span>
| |Major seventh
| |Major seventh
| |1140¢ [12]
| |1140¢ [12] <br />-5.4545¢
| |1152¢ [10]
| |1152¢ [10] <br />6.5455¢
|-
|-
| |22
| |22
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