User:Moremajorthanmajor/Ed13: Difference between revisions

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-'''Ed13''' means '''Division of the Thirteenth Harmonic (13/1) into n equal parts'''.
+'''Ed13''' means '''Division of the Thirteenth Harmonic ([[13/1]]) into n equal parts'''.
 = Division of the thirteenth harmonic into n equal parts =
-The thirteenth harmonic is particularly wide as far as equivalences go. There are (at absolute most) ~3 triskaidecataves within the human hearing range; imagine if that were the case with octaves. If one does indeed deal with hendecatave equivalence, this fact shapes one's musical approach dramatically. The thirteenth harmonic causes the ideal chromatic scale to "break down" during the third octave:
+The thirteenth harmonic is particularly wide as far as equivalences go. There are (at absolute most) ~3 triskaidecataves within the human hearing range; imagine if that were the case with octaves. If one does indeed deal with triskaidecatave equivalence, this fact shapes one's musical approach dramatically. The thirteenth harmonic causes the ideal chromatic scale to "break down" after the tritave:
 {| class="wikitable"
 |+
@@ Line 9: / Line 9: @@
 !M2
 !m3
+!M3
 !P4
 !A4
@@ Line 25: / Line 26: @@
 !A11
 d12
+|-
+| 1/1
+| 16/15 <br>15/14
+| 10/9 <br>9/8 <br>8/7
+| 7/6 <br>6/5
+| 5/4
+| 4/3
+| 7/5
+| 3/2
+| 8/5
+| 5/3
+| 7/4 <br>9/5
+| ''11/6'' <br>''13/7'' <br>15/8
+| 2/1
+| 15/7 <br>''13/6''
+| ''11/5'' <br>9/4
+| 7/3 <br>12/5
+| 5/2 <br>''13/5''
+| 8/3 <br>''11/4''
+| 14/5 <br>17/6
+|-
 !P12
 !m13
@@ Line 39: / Line 61: @@
 d19
 !P19
-!''m20''
+!m20
-!''M20''
+!M20
 !m21
 !M21
-!P22
+! colspan="2" |P22
 |-
-| rowspan="2" |1/1
+| 3/1
-| rowspan="2" |15/14
+| 16/5 <br>''13/4''
-| rowspan="2" |8/7
+| 10/3 <br>17/5
-| rowspan="2" |6/5
+| 7/2 <br>18/5
-| rowspan="2" |4/3
+| ''11/3'' <br>15/4
-| rowspan="2" |7/5
+| 4/1
-| rowspan="2" |3/2
+| 17/4 <br>''13/3''
-| rowspan="2" |8/5
+| 9/2
-| rowspan="2" |5/3
+| 14/3
-| rowspan="2" |7/2
+| 5/1
-| rowspan="2" |15/8
+| 16/3 <br>''11/2''
-| rowspan="2" |2/1
+| 28/5 <br>''17/3''
-| rowspan="2" |15/7
+| 6/1
-| rowspan="2" |9/4
+| ''13/2''
-| rowspan="2" |7/3
+| 20/3
-| rowspan="2" |5/2
+| 7/1
-| rowspan="2" |8/3
+| 15/2
-| rowspan="2" |11/4
+| colspan="2" |8/1
-| rowspan="2" |3/1
-| rowspan="2" |''13/4''
-| rowspan="2" |10/3
-| rowspan="2" |7/2
-| rowspan="2" |15/4
-| rowspan="2" |4/1
-| rowspan="2" |17/4
-| rowspan="2" |9/2
-| rowspan="2" |14/3
-| rowspan="2" |5/1
-| rowspan="2" |16/3
-| rowspan="2" |11/2
-| rowspan="2" |6/1
-| colspan="2" |13/2
-| rowspan="2" |7/1
-| rowspan="2" |15/2
-| rowspan="2" |8/1
-|-
-|''32/5''
-|''20/3''
 |}
+== Individual pages for ED13s ==
+* [[7ed13]]
+* [[10ed13]] - [[Sensi]] generator
+* [[14ed13]] - [[Kleismic]] generator
+* [[37ed13]] - compare [[10edo]]
+* [[45ed13]]
+[[Category:Edonoi]]