Pentatonic Functional Just System: Difference between revisions

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{{Editable user page|Please add the 11-limit tables if no one has done so already. Also feel free to add more content, but please do not delete existing content without my permission.}}

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. In this page, we will develop a pentatonic version of the [[FJS]], starting from the [[3-limit]] and using [[formal comma]]s to reach higher limits.

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]], starting from the [[3-limit]] and using [[formal comma]]s to reach higher limits.

== The 3-limit ==

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== Ratios of 11 (Interpental!) ==

We now look at ratios of 11, with [[33/32]] as our formal comma. By pentatonic interval classification, many undecimal ratios fall between two interval categories, the edges of which are the 5-limit intervals; thus they are called interpental, just like [[interseptimal]] intervals in diatonic classification.

We now look at ratios of 11, with [[33/32]] as our formal comma. By pentatonic interval classification, many undecimal ratios fall right between two interval categories, the edges of which are the 5-limit intervals; thus they are called interpental, just like [[interseptimal]] intervals in diatonic classification.

; Todo<nowiki>:</nowiki> Add the tables

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 {{Editable user page|Please add the 11-limit tables if no one has done so already. Also feel free to add more content, but please do not delete existing content without my permission.}}
-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. In this page, we will develop a pentatonic version of the [[FJS]], starting from the [[3-limit]] and using [[formal comma]]s to reach higher limits.
+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]], starting from the [[3-limit]] and using [[formal comma]]s to reach higher limits.
 == The 3-limit ==
@@ Line 243: / Line 243: @@
 == Ratios of 11 (Interpental!) ==
-We now look at ratios of 11, with [[33/32]] as our formal comma. By pentatonic interval classification, many undecimal ratios fall between two interval categories, the edges of which are the 5-limit intervals; thus they are called interpental, just like [[interseptimal]] intervals in diatonic classification.
+We now look at ratios of 11, with [[33/32]] as our formal comma. By pentatonic interval classification, many undecimal ratios fall right between two interval categories, the edges of which are the 5-limit intervals; thus they are called interpental, just like [[interseptimal]] intervals in diatonic classification.
 ; Todo<nowiki>:</nowiki> Add the tables