33/32: Difference between revisions

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Notation: expand on Johnston notation
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== Notation ==
== Notation ==
The interval 33/32 is significant in [[Functional Just System]] and [[Helmholtz-Ellis notation]] as the undecimal formal comma which translates a Pythagorean interval to a nearby undecimal interval. [[Ben Johnston's notation]] denotes this interval with ↑, and its reciprocal as ↓.  
This interval is significant in [[Functional Just System]] and [[Helmholtz-Ellis notation]] as the undecimal formal comma which translates a Pythagorean interval to a nearby undecimal interval.  
 
=== Ben Johnston's notation ===
In [[Ben Johnston's notation]], this interval is denoted with ↑, and its reciprocal as ↓. If the base note is C, then 11/8 is represented by C–F↑.  


=== Sagittal notation ===
=== Sagittal notation ===
In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal | /|\ }} and is called the '''11 medium diesis''', or '''11M''' for short, because the simplest interval it notates is 11/1 (equiv. 11/8), as for example in C-F{{nbhsp}}{{sagittal | /|\ }}. The downward version is called '''1/11M''' or '''11M down''' and is represented by {{sagittal| \!/ }}.
In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal | /|\ }} and is called the '''11 medium diesis''', or '''11M''' for short, because the simplest interval it notates is 11/1 (equiv. 11/8), as for example in C–F{{nbhsp}}{{sagittal | /|\ }}. The downward version is called '''1/11M''' or '''11M down''' and is represented by {{sagittal| \!/ }}.


== See also ==
== See also ==