12ed5: Difference between revisions

@@ Line 1: / Line 1: @@
-'''[[Ed5|Division of the 5th harmonic]] into 24 equal parts''' (12ed5) is related to the [[Meantone family|cynder temperament]]. The step size about 232.1928 cents. This tuning has a meantone fifth as the number of divisions of the 5th harmonic is multiple of 4.
+'''[[Ed5|Division of the 5th harmonic]] into 12 equal parts''' (12ed5) is related to the [[Meantone family|cynder temperament]]. The step size about 232.1928 cents. This tuning has a meantone fifth as the number of divisions of the 5th harmonic is multiple of 4.
+{| class="wikitable"
+|-
+! | degree
+! | cents value
+! | corresponding <br>JI intervals
+! | comments
+|-
+| | 0
+| | 0.0000
+| | '''exact [[1/1]]'''
+| |
+|-
+| | 1
+| | 232.1928
+| | [[8/7]]
+| |
+|-
+| | 2
+| | 464.3856
+| | 17/13
+| |
+|-
+| | 3
+| | 696.5784
+| |
+| | meantone fifth <br>(pseudo-[[3/2]])
+|-
+| | 4
+| | 928.7712
+| | 65/38
+| |
+|-
+| | 5
+| | 1160.9640
+| | 45/23
+| |
+|-
+| | 6
+| | 1393.1569
+| | [[19/17|38/17]], 85/38
+| | meantone major second plus an octave
+|-
+| | 7
+| | 1625.3497
+| | 23/9
+| |
+|-
+| | 8
+| | 1857.5425
+| | [[19/13|38/13]]
+| |
+|-
+| | 9
+| | 2089.7353
+| |
+| | meantone major sixth plus an octave <br>(pseudo-[[10/3]])
+|-
+| | 10
+| | 2321.9281
+| | 65/17
+| |
+|-
+| | 11
+| | 2554.1209
+| | 35/8
+| |
+|-
+| | 12
+| | 2786.3137
+| | '''exact [[5/1]]'''
+| | just major third plus two octaves
+|}
 [[Category:Ed5]]
 [[Category:Edonoi]]