User:Nick Vuci/TonalityDiamond: Difference between revisions

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  WORK-IN-PROGRESS AS OF 10MAY2025
  Moved to [[Tonality diamond|main space]] 11 MAY 2025 by [[User:Sintel|Sintel]]
A '''tonality diamond''' is a symmetric organization of [[Otonality and utonality|otonal and utonal]] chords based around a central note and bounded by an [[Odd limit|odd-limit]]. First formalized in the [[7-odd-limit]] by [[wikipedia:Max_Friedrich_Meyer|Max F. Meyer]] in 1929, the idea became central to the music and theories of [[Harry Partch]], who built his tonal system around the [[11-odd-limit]] tonality diamond. Tonality diamonds have been used both conceptually (such as for [[Target tuning|targets]] of [[temperaments]]) and practically (such as for instrument layouts) in xenharmonics ever since.  
A '''tonality diamond''' is a symmetric organization of [[Otonality and utonality|otonal and utonal]] chords based around a central note and bounded by an [[Odd limit|odd-limit]]. First formalized in the [[7-odd-limit]] by [[wikipedia:Max_Friedrich_Meyer|Max F. Meyer]] in 1929, the idea became central to the music and theories of [[Harry Partch]], who built his tonal system around the [[11-odd-limit]] tonality diamond. Tonality diamonds have been used both conceptually (such as for [[Target tuning|targets]] of [[temperaments]]) and practically (such as for instrument layouts) in xenharmonics ever since.  


[https://nickvuci.github.io/wiki-applets/tonalityDiamond.html '''Play some tonality diamonds to hear how they sound.''']
 
'''[https://nickvuci.github.io/wiki-applets/TonalityDiamond/tonalityDiamond.html Play with tonality diamonds in your browser here.]'''


== Construction ==
== Construction ==
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* numerically (ie, 1 3 5 7 9 11) as in Meyer's 7-limit diamond
* numerically (ie, 1 3 5 7 9 11) as in Meyer's 7-limit diamond
* tonally (ie, 1 9 5 11 3 7) as in Partch's 11-limit diamond
* tonally (ie, 1 9 5 11 3 7) as in Partch's 11-limit diamond
* chordally (ie, 1 5 3 7 9 11) as in the layout for the Diamond Marimba
* chordally (ie, 1 5 3 7 9 11) as in the layout for the Diamond Marimba
Here's a short video illustrating the interlocking nature of the otonal and utonal chords and constant presence of the 1/1 interval in the 5-limit tonality diamond:
[[File:5-Limit_Tonality_Diamond_original_format.mp4|1000x400px|center]]


== History ==
== History ==