10edt: Difference between revisions

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== Theory ==

10edt ~~has very accurate 5-limit harmony for such a small number of steps per tritave,~~ most notably the [[5/4]] ~~inherited~~ from 5edt~~. 10edt~~ introduces some new harmonic ~~properties though —~~ 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 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 ~~major third~~ in half, categorizing this tuning as a fringe variety of "meantone~~" temperament~~.

10edt also splits the 5/4 in half, categorizing this tuning as a fringe variety of meantone.

~~One step of~~ 10edt can serve as the generator for [[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.

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=12|start=12|collapsed=true|title=Approximation of harmonics in 10edt (continued)}}

=== Interval table ===

== Interval table ==

{| class="wikitable"

|-

@@ Line 3: / Line 3: @@
 == Theory ==
-edt has very accurate 5-limit harmony for such a small number of steps per tritave, most notably the [[5/4]] inherited from 5edt. 10edt introduces some new harmonic properties though — 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.
+edt 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.
-edt also splits the major third in half, categorizing this tuning as a fringe variety of "meantone" temperament.
+edt also splits the 5/4 in half, categorizing this tuning as a fringe variety of meantone.
-One step of 10edt can serve as the generator for [[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.
+edt 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}}
+{{Harmonics in equal|10|3|1|columns=11}}
-{{Harmonics in equal|10|3|1|start=12}}
+{{Harmonics in equal|10|3|1|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 10edt (continued)}}
-=== Interval table ===
+== Interval table ==
 {| class="wikitable"
 |-