10edt: Difference between revisions
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'''10EDT''' is the [[Edt|equal division of the third harmonic (tritave)]] into ten parts of 190.1955 [[cent|cents]] each, corresponding to 6.3093 [[edo]]. It is related to the pocus temperament, which tempers out 169/168, 225/224, and 245/243 in the 2.3.5.7.13 subgroup. | |||
{| class="wikitable" | {| class="wikitable" | ||
Line 9: | Line 9: | ||
| | 0 | | | 0 | ||
| | 0 | | | 0 | ||
| | <span style="color: #660000;">[[ | | | <span style="color: #660000;">[[1/1]]</span> | ||
|- | |- | ||
| | 1 | | | 1 | ||
| | 190.196 | | | 190.196 | ||
| | [[ | | | [[10/9]], [[28/25]] | ||
|- | |- | ||
| | 2 | | | 2 | ||
| | 380.391 | | | 380.391 | ||
| | <span style="color: #660000;">[[ | | | <span style="color: #660000;">[[5/4]]</span> | ||
|- | |- | ||
| | 3 | | | 3 | ||
| | 570.587 | | | 570.587 | ||
| | [[ | | | [[7/5]] | ||
|- | |- | ||
| | 4 | | | 4 | ||
| | 760.782 | | | 760.782 | ||
| | <span style="color: #660000;">[[ | | | <span style="color: #660000;">[[14/9]]</span> | ||
|- | |- | ||
| | 5 | | | 5 | ||
| | 950.978 | | | 950.978 | ||
| | [[ | | | 45/26, [[26/15]] | ||
|- | |- | ||
| | 6 | | | 6 | ||
| | 1141.173 | | | 1141.173 | ||
| | <span style="color: #660000;">[[ | | | <span style="color: #660000;">[[27/14]]</span> | ||
|- | |- | ||
| | 7 | | | 7 | ||
| | 1331.369 | | | 1331.369 | ||
| | [[ | | | [[15/7]] ([[15/14]] plus an octave) | ||
|- | |- | ||
| | 8 | | | 8 | ||
| | 1521.564 | | | 1521.564 | ||
| | [[12/5]] (<span style="color: #660000;">[[ | | | [[12/5]] (<span style="color: #660000;">[[6/5]]</span> plus an octave) | ||
|- | |- | ||
| | 9 | | | 9 | ||
| | 1711.760 | | | 1711.760 | ||
| | [[27/ | | | [[27/20|27/10]] | ||
|- | |- | ||
| | 10 | | | 10 | ||
| | 1901.955 | | | 1901.955 | ||
| | [[ | | | [[3/1]] | ||
|} | |} | ||
10edt, like [[ | 10edt, like [[5edt]], has very accurate 5-limit harmony for such a small number of steps per tritave. 10edt introduces some new harmonic properties though; notably the 571 cent tritone which can function as 7/5. It also splits the major third in half, categorizing this tuning as a fringe variety of "meantone" temperament. | ||
[[Category:edt]] | [[Category:edt]] | ||
[[category:macrotonal]] | [[category:macrotonal]] |