10edt: Difference between revisions
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{{Infobox ET}} | |||
{{ED intro}} | |||
{| class="wikitable" | == Theory == | ||
10edt most notably inherits the [[5/4]] from 5edt, and introduces some new harmonic elements, such as the 571-cent tritone, which can function as [[7/5]]. We can use this to readily construct chords such as 4:5:7:12, although the [[7/4]], being 18 cents flat, does considerable damage to the consonance of this chord. | |||
10edt also splits the 5/4 in half, categorizing this tuning as a fringe variety of meantone. | |||
10edt can serve as the generator chain for the [[pocus]] temperament, a [[temperament merging|merge]] of [[sensamagic]] and 2.3.5.7.13 [[catakleismic]], which tempers out [[169/168]], [[225/224]], and [[245/243]] in the 2.3.5.7.13 subgroup. | |||
=== Harmonics === | |||
{{Harmonics in equal|10|3|1|columns=11}} | |||
{{Harmonics in equal|10|3|1|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 10edt (continued)}} | |||
== Intervals == | |||
{| class="wikitable center-1 right-2 right-3" | |||
|- | |- | ||
! # | |||
! [[Cent]]s | |||
! [[Hekt]]s | |||
! Approximate ratios | |||
|- | |- | ||
| | 0 | | 0 | ||
| 0 | |||
| | | 0 | ||
| [[1/1]] | |||
|- | |- | ||
| 1 | |||
| 190 | |||
|130 | | 130 | ||
| [[10/9]], [[28/25]] | |||
|- | |- | ||
| 2 | |||
| 380 | |||
|260 | | 260 | ||
| | | [[5/4]] | ||
|- | |- | ||
| 3 | |||
| | | 571 | ||
|390 | | 390 | ||
| [[7/5]] | |||
|- | |- | ||
| 4 | |||
| | | 761 | ||
|520 | | 520 | ||
| | | [[14/9]] | ||
|- | |- | ||
| 5 | |||
| | | 951 | ||
|650 | | 650 | ||
| | | [[26/15]], [[45/26]] | ||
|- | |- | ||
| 6 | |||
| 1141 | |||
|780 | | 780 | ||
| | | [[27/14]] | ||
|- | |- | ||
| 7 | |||
| 1331 | |||
|910 | | 910 | ||
| [[15/7]] | |||
|- | |- | ||
| 8 | |||
| | | 1522 | ||
|1040 | | 1040 | ||
| [[12/5]] | |||
|- | |- | ||
| 9 | |||
| | | 1712 | ||
|1170 | | 1170 | ||
| [[27/20|27/10]] | |||
|- | |- | ||
| 10 | |||
| | | 1902 | ||
|1300 | | 1300 | ||
| [[3/1]] | |||
|} | |} | ||
[[Category:Macrotonal]] | |||
[[Category: | |||