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1 Commits

Author SHA1 Message Date
Levi Neuwirth e06b7e6f28 Push 4b tranche 2b: contract for the ten historical temperaments
Makes the ten temperaments deferred by tranche 2 resolve, via
TuningResolution::Function with reserved built-in ids, each computed from its
construction (which fifths tempered, by what fraction of which comma) rather
than a pasted cents table -- the constructions are normative in core_spec.tex
as of 5e465a1.

Its own pass, separate from the resolver plumbing, because this is the
verify-heavy part: the S6 draft shipped two arithmetically impossible
temperaments and one false ambiguity, every one properly cited, caught only by
the closure invariant. So the contract's deliverable is the closure recomputed
in code -- the six circulating temperaments' temperings summing to one
Pythagorean comma, the four non-circulating ones' wolves matching the ratified
residue -- and two construction-level mutations required to prove it bites:
dropping Kirnberger's schisma fifth (the classic omission) and swapping
Werckmeister's Pythagorean comma for syntonic (the classic confusion). The comma
type is the load-bearing distinction no test outside the closure check can see.

Verified before dispatch: all three cited labels resolve, every line ref points
where claimed, and the closure arithmetic checked independently -- syntonic +
schisma = Pythagorean exactly, which is why Kirnberger closes and why omitting
the schisma lands one schisma short.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
2026-07-23 11:38:14 -04:00