Pentatonic Functional Just System: Difference between revisions
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Traditionally, we use a [[5L 2s|diatonic]] system of interval classification. This works well in the [[5-limit]], and in [[meantone]] systems. However, in other systems like [[superpyth]] or [[buzzard]], a pentatonic system of classification based on the [[2L 3s|pentic (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 pentic version of the [[FJS]] (abbreviated '''PFJS'''), starting from the [[3-limit]] and using [[formal comma]]s to reach higher limits. Since we have 5 notes per octave rather than the traditional 7, we will omit the notes F and B, and only use C, D, E, G, and A. | Traditionally, we use a [[5L 2s|diatonic]] system of interval classification. This works well in the [[5-limit]], and in [[meantone]] systems. However, in other systems like [[superpyth]] or [[buzzard]], a pentatonic system of classification based on the [[2L 3s|pentic (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 pentic version of the [[FJS]] (abbreviated '''PFJS'''), starting from the [[3-limit]] and using [[formal comma]]s to reach higher limits. Since we have 5 notes per octave rather than the traditional 7, we will omit the notes F and B, and only use C, D, E, G, and A. | ||
The PFJS was devised by [[User:Overthink|Overthink]] in 2025, with updates | The PFJS was devised by [[User:Overthink|Overthink]] in 2025, with updates made later. | ||
== The 3-limit == | == The 3-limit == | ||