Pentatonic Functional Just System: Difference between revisions

Overthink (talk | contribs)
note last section isn't very planned
Overthink (talk | contribs)
The 11- and 13-limits: new formal commas
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== The 11- and 13-limits ==
== The 11- and 13-limits ==
We now look at the entire [[15-odd-limit]] [[tonality diamond]]. We will use [[33/32]] and [[27/26]] as our 11- and 13-limit formal commas, respectively. IDK actually
We now look at the entire [[15-odd-limit]] [[tonality diamond]]. Here, we will use more complex formal commas: The formal comma for 11 is [[8192/8019|8019/8192]] (11/8 is <sub>5</sub>S3<sup>11</sup>), and the formal comma for 13 is [[6656/6561]] (13/8 is <sub>5</sub>s5<sup>13</sup>).
{| class="wikitable right-all mw-collapsible"
{| class="wikitable right-all mw-collapsible"
|+ {{nowrap|15-odd-limit by PFJS}}
|+ {{nowrap|15-odd-limit by PFJS (last column is outdated)}}
|-
|-
! Ratio !! Cents !! Interval name
! Ratio !! Cents !! Interval name