13edf: Difference between revisions
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| Line 5: | Line 5: | ||
|- | |- | ||
! | degree | ! | degree | ||
! | cents | ! | cents value | ||
! | corresponding <br>JI intervals | |||
! | comments | |||
|- | |- | ||
| | 0 | | | 0 | ||
| | 0.0000 | | | 0.0000 | ||
| | '''exact [[1/1]]''' | |||
| | | |||
|- | |- | ||
| | 1 | | | 1 | ||
| | 53.9965 | | | 53.9965 | ||
| | 33/32 | |||
| | | |||
|- | |- | ||
| | 2 | | | 2 | ||
| | 107.9931 | | | 107.9931 | ||
| | [[17/16]], 117/110, [[16/15]] | |||
| | | |||
|- | |- | ||
| | 3 | | | 3 | ||
| | 161.9896 | | | 161.9896 | ||
| | [[11/10]] | |||
| | | |||
|- | |- | ||
| | 4 | | | 4 | ||
| | 215.9862 | | | 215.9862 | ||
| | [[17/15]] | |||
| | | |||
|- | |- | ||
| | 5 | | | 5 | ||
| | 269.9827 | | | 269.9827 | ||
| | [[7/6]] | |||
| | | |||
|- | |- | ||
| | 6 | | | 6 | ||
| | 323.9792 | | | 323.9792 | ||
| | | |||
| | pseudo-[[6/5]] | |||
|- | |- | ||
| | 7 | | | 7 | ||
| | 377.9758 | | | 377.9758 | ||
| | 56/45 | |||
| | pseudo-[[5/4]] | |||
|- | |- | ||
| | 8 | | | 8 | ||
| | 431.9723 | | | 431.9723 | ||
| | [[9/7]] | |||
| | | |||
|- | |- | ||
| | 9 | | | 9 | ||
| | 485.9688 | | | 485.9688 | ||
| | 45/34 | |||
| | pseudo-[[4/3]] | |||
|- | |- | ||
| | 10 | | | 10 | ||
| | 539.9654 | | | 539.9654 | ||
| | [[15/11]] | |||
| | | |||
|- | |- | ||
| | 11 | | | 11 | ||
| | 593.9619 | | | 593.9619 | ||
| | 55/39, [[24/17]] | |||
| | | |||
|- | |- | ||
| | 12 | | | 12 | ||
| | 647.9585 | | | 647.9585 | ||
| | [[16/11]] | |||
| | | |||
|- | |- | ||
| | 13 | | | 13 | ||
| | 701.9550 | | | 701.9550 | ||
| | '''exact [[3/2]]''' | |||
| | just perfect fifth | |||
|- | |- | ||
| | 14 | | | 14 | ||
| | 755.9515 | | | 755.9515 | ||
| | 99/64 | |||
| | | |||
|- | |- | ||
| | 15 | | | 15 | ||
| | 809.9481 | | | 809.9481 | ||
| | 51/32, [[8/5]] | |||
| | | |||
|- | |- | ||
| | 16 | | | 16 | ||
| | 863.9446 | | | 863.9446 | ||
| | 33/20 | |||
| | | |||
|- | |- | ||
| | 17 | | | 17 | ||
| | 917.9412 | | | 917.9412 | ||
| | [[17/10]] | |||
| | | |||
|- | |- | ||
| | 18 | | | 18 | ||
| | 971.9377 | | | 971.9377 | ||
| | [[7/4]] | |||
| | | |||
|- | |- | ||
| | 19 | | | 19 | ||
| | 1025.9342 | | | 1025.9342 | ||
| | | |||
| | pseudo-[[9/5]] | |||
|- | |- | ||
| | 20 | | | 20 | ||
| | 1079.9308 | | | 1079.9308 | ||
| | [[28/15]] | |||
| | pseudo-[[15/8]] | |||
|- | |- | ||
| | 21 | | | 21 | ||
| | 1133.9273 | | | 1133.9273 | ||
| | 52/27, [[27/14]] | |||
| | | |||
|- | |- | ||
| | 22 | | | 22 | ||
| | 1187.9238 | | | 1187.9238 | ||
| | 135/68 | |||
| | pseudo-[[octave]] | |||
|- | |- | ||
| | 23 | | | 23 | ||
| | 1241.9204 | | | 1241.9204 | ||
| | [[45/44|45/22]] | |||
| | | |||
|- | |- | ||
| | 24 | | | 24 | ||
| | 1295.9169 | | | 1295.9169 | ||
| | [[19/18|19/9]], [[18/17|36/17]] | |||
| | | |||
|- | |- | ||
| | 25 | | | 25 | ||
| | 1349.9135 | | | 1349.9135 | ||
| | [[12/11|24/11]] | |||
| | | |||
|- | |- | ||
| | 26 | | | 26 | ||
| | 1403.9100 | | | 1403.9100 | ||
| | '''exact [[9/4]]''' | |||
| | pythagorean major ninth | |||
|} | |} | ||
[[Category:Edf]] | [[Category:Edf]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||
Revision as of 23:43, 5 February 2019
13EDF is the equal division of the just perfect fifth into 13 parts of 53.9965 cents each, corresponding to 22.2236 edo. It is nearly identical to every ninth step of 200edo.
Intervals
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 53.9965 | 33/32 | |
| 2 | 107.9931 | 17/16, 117/110, 16/15 | |
| 3 | 161.9896 | 11/10 | |
| 4 | 215.9862 | 17/15 | |
| 5 | 269.9827 | 7/6 | |
| 6 | 323.9792 | pseudo-6/5 | |
| 7 | 377.9758 | 56/45 | pseudo-5/4 |
| 8 | 431.9723 | 9/7 | |
| 9 | 485.9688 | 45/34 | pseudo-4/3 |
| 10 | 539.9654 | 15/11 | |
| 11 | 593.9619 | 55/39, 24/17 | |
| 12 | 647.9585 | 16/11 | |
| 13 | 701.9550 | exact 3/2 | just perfect fifth |
| 14 | 755.9515 | 99/64 | |
| 15 | 809.9481 | 51/32, 8/5 | |
| 16 | 863.9446 | 33/20 | |
| 17 | 917.9412 | 17/10 | |
| 18 | 971.9377 | 7/4 | |
| 19 | 1025.9342 | pseudo-9/5 | |
| 20 | 1079.9308 | 28/15 | pseudo-15/8 |
| 21 | 1133.9273 | 52/27, 27/14 | |
| 22 | 1187.9238 | 135/68 | pseudo-octave |
| 23 | 1241.9204 | 45/22 | |
| 24 | 1295.9169 | 19/9, 36/17 | |
| 25 | 1349.9135 | 24/11 | |
| 26 | 1403.9100 | exact 9/4 | pythagorean major ninth |