12ed5: Difference between revisions
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Created page with "'''Division of the 5th harmonic into 24 equal parts''' (12ed5) is related to the cynder temperament. The step size about 232.1928 cents. This tunin..." Tags: Mobile edit Mobile web edit |
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'''[[Ed5|Division of the 5th harmonic]] into | '''[[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:Ed5]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||
Revision as of 09:59, 22 February 2019
Division of the 5th harmonic into 12 equal parts (12ed5) is related to the 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.
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 232.1928 | 8/7 | |
| 2 | 464.3856 | 17/13 | |
| 3 | 696.5784 | meantone fifth (pseudo-3/2) | |
| 4 | 928.7712 | 65/38 | |
| 5 | 1160.9640 | 45/23 | |
| 6 | 1393.1569 | 38/17, 85/38 | meantone major second plus an octave |
| 7 | 1625.3497 | 23/9 | |
| 8 | 1857.5425 | 38/13 | |
| 9 | 2089.7353 | meantone major sixth plus an octave (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 |