Pentatonic Functional Just System: Difference between revisions

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~~{{Editable user page|Feel free to add more content, but please do not delete existing content without my permission (though minor rewrites are fine).}}~~

{{Idiosyncratic terms|The abbreviation "PFJS", using the terms "sub/super" for augmented and diminished, and all of the PFJS interval names are only found on this page.}}

Traditionally, we use a [[5L 2s|diatonic]] system of interval classification. This works well in the [[5-limit]] and in [[meantone]]. However, in other systems like [[superpyth]], a pentatonic system of classification based on the [[2L 3s]] [[MOS scale]] may be preferred, with priority on the [[2.3.7 subgroup|2.3.7-]][[subgroup]]. In this page, we will develop a pentatonic version of the [[FJS]] (abbreviated '''PFJS'''), starting from the [[3-limit]] and using [[formal comma]]s to reach higher limits.

The PFJS was devised by [[User:Overthink|Overthink]] in 2025.

== The 3-limit ==

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In [[13-limit]] [[superpyth]], [[11/8]] is a sub-sub-sub-<sub>5</sub>fourth, and [[13/8]] is a sub-sub-<sub>5</sub>fifth.

This system could be extended to higher limits, but we'll leave it here for now.

This system could be extended to even higher limits, but we'll leave it here for now.

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-{{Editable user page|Feel free to add more content, but please do not delete existing content without my permission (though minor rewrites are fine).}}
 {{Idiosyncratic terms|The abbreviation "PFJS", using the terms "sub/super" for augmented and diminished, and all of the PFJS interval names are only found on this page.}}
 Traditionally, we use a [[5L 2s|diatonic]] system of interval classification. This works well in the [[5-limit]] and in [[meantone]]. However, in other systems like [[superpyth]], a pentatonic system of classification based on the [[2L 3s]] [[MOS scale]] may be preferred, with priority on the [[2.3.7 subgroup|2.3.7-]][[subgroup]]. In this page, we will develop a pentatonic version of the [[FJS]] (abbreviated '''PFJS'''), starting from the [[3-limit]] and using [[formal comma]]s to reach higher limits.
+The PFJS was devised by [[User:Overthink|Overthink]] in 2025.
 == The 3-limit ==
@@ Line 384: / Line 385: @@
 In [[13-limit]] [[superpyth]], [[11/8]] is a sub-sub-sub-<sub>5</sub>fourth, and [[13/8]] is a sub-sub-<sub>5</sub>fifth.
-This system could be extended to higher limits, but we'll leave it here for now.
+This system could be extended to even higher limits, but we'll leave it here for now.