pentatonicCount
plain-language theorem explainer
Recognition Science assigns the pentatonic scale five notes as the initial Fibonacci entry in its ethnomusicology classification. Music theorists and anthropologists would cite this value when verifying the five canonical scale types predicted by configDim D = 5. The declaration is a direct definition that sets the count to the natural number five.
Claim. The number of notes in the pentatonic scale equals five.
background
The module treats musical scale counts as instances of the same five-element classification forced by configDim D = 5. Note counts follow the phi-ladder: pentatonic given as 5 = 3 + 2, diatonic as 7 = 5 + 2, and chromatic near phi^5 / 2. This supplies the base integer for relations that appear in the ScaleCountCert structure.
proof idea
One-line definition that directly assigns the natural number 5.
why it matters
The definition supplies the base value used by the theorem diatonic_eq_pentatonic_plus_two and by the ScaleCountCert structure that certifies five canonical scales. It instantiates the RS prediction that configDim D = 5 forces the same five-element pattern seen in other classification systems, with counts drawn from the phi-ladder.
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