120edo: Difference between revisions

(3 intermediate revisions by 2 users not shown)

Line 1:

== Theory ==

120edo shares the [[perfect fifth]] with 12edo, [[tempering out]] the [[Pythagorean comma]]. 120edo is an excellent tuning in the 2.3.7.11.13.23.29 [[subgroup]]. In the no-5's 11-limit, it tempers out [[243/242]]. In the patent val 120edo is also a tuning for the 7-limit [[decoid]] temperament.

The 120bdd val is a tuning for [[superpyth]] where 3/2 is tuned to exactly 710{{c}}. It may be used as a ''de facto'' dual fifth in [[Substitute harmonic#Newcome|newcome]] temperament.

The 120bdd val is a tuning for [[superpyth]] where 3/2 is tuned to exactly 710{{c}}. An additional temperament worth considering for the 710{{c}} fifth is [[surmarvelpyth]], which sharpens it by [[225/224]] and assigns that value instead of 3/2. It may be used as a ''de facto'' dual fifth in [[Substitute harmonic#Newcome|newcome]] temperament.

=== Prime harmonics ===

Line 14:

=== Miscellaneous properties ===

~~Being the simplest division of the octave by the Germanic {{w|long hundred}}, it has a unit step which is the fine relative cent of [[1edo]].~~

120edo also has a [[concoctic]] generator that resembles the leap day excess of earth, 29\120 corresponding to 5 hours and 48 minutes.

Line 28:

Line 26:

120edo can be notated using [[ups and downs notation]] using [[Helmholtz–Ellis]] accidentals and Stein–Zimmerman [[24edo#Notation|quarter-tone]] accidentals:

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|120}}
+{{ED intro}}
 == Theory ==
 edo shares the [[perfect fifth]] with 12edo, [[tempering out]] the [[Pythagorean comma]]. 120edo is an excellent tuning in the 2.3.7.11.13.23.29 [[subgroup]]. In the no-5's 11-limit, it tempers out [[243/242]]. In the patent val 120edo is also a tuning for the 7-limit [[decoid]] temperament.
-The 120bdd val is a tuning for [[superpyth]] where 3/2 is tuned to exactly 710{{c}}. It may be used as a ''de facto'' dual fifth in [[Substitute harmonic#Newcome|newcome]] temperament.
+The 120bdd val is a tuning for [[superpyth]] where 3/2 is tuned to exactly 710{{c}}. An additional temperament worth considering for the 710{{c}} fifth is [[surmarvelpyth]], which sharpens it by [[225/224]] and assigns that value instead of 3/2. It may be used as a ''de facto'' dual fifth in [[Substitute harmonic#Newcome|newcome]] temperament.
 === Prime harmonics ===
@@ Line 14: / Line 14: @@
 === Miscellaneous properties ===
-Being the simplest division of the octave by the Germanic {{w|long hundred}}, it has a unit step which is the fine relative cent of [[1edo]].
 edo also has a [[concoctic]] generator that resembles the leap day excess of earth, 29\120 corresponding to 5 hours and 48 minutes.
@@ Line 28: / Line 26: @@
 edo can be notated using [[ups and downs notation]] using [[Helmholtz–Ellis]] accidentals and Stein–Zimmerman [[24edo#Notation|quarter-tone]] accidentals:
-{{Sharpness-sharp10|120}}
+{{Sharpness-sharp10-qt1|120}}

120edo: Difference between revisions

Eliora (talk | contribs)