Unidec: Difference between revisions

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'''Unidec''' is the [[regular temperament]] defined in the 7-limit by [[tempering out]] [[1029/1024]], the gamelisma, and [[4375/4374]], the ragisma, with the 11-limit extension adding [[385/384]] or [[441/440]] to the comma list, featuring a period of a semioctave and a generator of a classic whole tone.  
'''Unidec''' is the [[regular temperament]] defined in the 7-limit by [[tempering out]] [[1029/1024]], the gamelisma, and [[4375/4374]], the ragisma, with the 11-limit extension adding [[385/384]] or [[441/440]] to the comma list, featuring a period of a semioctave and a generator of a classic whole tone.  


There are two viable 13-limit extensions: '''hendec''' and '''ekadash'''.  
Unidec has two viable 13-limit extensions: '''hendec''' and '''ekadash'''.  


See [[Gamelismic clan #Unidec]] for technical details.
See [[Gamelismic clan #Unidec]] for technical data.


== Chords ==
== Chords and harmony ==
{{main| Chords of unidec }}
{{See also| Chords of unidec }}


== Scales ==
== Scales ==
* [[Unidec26]]
* [[Unidec26]]


== Tuning spectrum ==
== Tunings ==
{| class="wikitable center-all"
=== Tuning spectrum ===
{| class="wikitable center-all left-3"
|-
|-
! [[eigenmonzo|eigenmonzo<br>(unchanged interval)]]
! [[Eigenmonzo|Eigenmonzo<br>(unchanged interval)]]
! Generator (¢)
! Generator (¢)
! Comments
! Comments
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== Music ==
== Music ==
* [[Technical Notes for Newbeams #Hypnocloudsmack 2|Hypnocloudsmack 2]] by [[Andrew Heathwaite]]
; [[Andrew Heathwaite]]
* "[[Technical Notes for Newbeams #Hypnocloudsmack 2|Hypnocloudsmack 2]]" from ''Newbeams''


[[Category:Unidec| ]] <!-- main article -->
[[Category:Unidec| ]] <!-- main article -->

Revision as of 13:19, 16 November 2025

Unidec is the regular temperament defined in the 7-limit by tempering out 1029/1024, the gamelisma, and 4375/4374, the ragisma, with the 11-limit extension adding 385/384 or 441/440 to the comma list, featuring a period of a semioctave and a generator of a classic whole tone.

Unidec has two viable 13-limit extensions: hendec and ekadash.

See Gamelismic clan #Unidec for technical data.

Chords and harmony

Scales

Tunings

Tuning spectrum

Eigenmonzo
(unchanged interval)
Generator (¢) Comments
16/13 179.736
14/13 182.075
13/11 182.158
10/9 182.404
14/11 182.492
4/3 183.007
16/15 183.043
5/4 183.062 5-, 13- and 15-odd-limit minimax
6/5 183.128
15/11 183.152
11/9 183.161
15/14 183.187
9/7 183.208 9- and 11-odd-limit minimax
11/10 183.215
12/11 183.263
7/5 183.270 7-odd-limit minimax
7/6 183.359
15/13 183.484
18/13 183.662
11/8 183.773
13/10 183.802
8/7 184.413
13/12 184.643

Music

Andrew Heathwaite