Parapyth: Difference between revisions

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In the early prototype, there was only a single chain of fifths, tuned slightly sharp such that:  
In the early prototype, there was only a single chain of fifths, tuned slightly sharp such that:  
* The minor third (−3 fifths) is [[13/11]], tempering out 352/351;  
* The minor third (−3 fifths) is [[13/11]], tempering out 352/351;  
* The major third (+4 fifths) hits [[14/11]], tempering out [[896/891]];  
* The major third (+4 fifths) hits [[14/11]], tempering out [[896/891]];  
* The augmented unison (+7 fifths) hits [[14/13]], tempering out [[28672/28431]].  
* The augmented unison (+7 fifths) hits [[14/13]], tempering out [[28672/28431]].


This temperament is now known as [[pepperoni]]. Parapyth encapsulates pepperoni, and adds a spacer representing 28/27~33/32. Prime harmonics 7, 11, and 13 are all made available simply using two chains of fifths.  
This temperament is now known as [[pepperoni]]. Parapyth extends pepperoni with a {{nowrap|28/27 ~ 33/32}} "spacer" interval, and harmonics 7, 11, and 13 are all made available simply by using two chains of fifths.  


See [[Pentacircle clan #Parapyth]] for technical data.
See [[Pentacircle clan#Parapyth]] for technical data.


== Interval lattice ==
== Interval lattice ==