All four open ratifications are decided, and the draft is corrected at both
places where it would have misled the agent that reads it next.
The 12-note 5-limit scale is the contiguous lattice block {3^a 5^b | a in
[-1,2], b in [-1,1]}, octave-reduced and assigned in ascending order from the
anchor. The draft called this one "asymmetric" and offered it third; that name
is an artifact of describing it as a 5x3 grid minus three discarded cells.
Generated from its bounds it discards nothing, fills all twelve chromatic
positions exactly once, and states in one sentence -- which is the property
Ruling B exists to get. The name is now banned normatively.
Two of the three candidates fell to computation rather than preference.
"Symmetric scale 2" makes G-D a 40/27 wolf, so a scale the catalog calls
"anchored to C tonic" would have an unusable dominant. And the draft's own
argument for "symmetric scale 1" -- that its D and Bb match C-based
Pythagorean and quarter-comma meantone -- is false: meantone's are 193.157
and 1006.843 cents, each half a syntonic comma away. It can only hold of
circle-of-fifths position, and even then covers 2 notes of 12 while the other
ten shift a comma between systems. Struck at its site and at the head of the
file, with the numbers, so it cannot be quietly reinstated.
The block also wins on merit: 23 pure intervals of 36 against 22 and 21, and
it gains pure Eb major and G minor for the price of Bb minor.
The three ji-static identifiers are one construction at three anchors -- which
the catalog already said, in the same phrase three times, more strongly than
the vallotti/young-ii naming parallel the draft reasoned from.
ji-adaptive-5limit version 1 is the key-anchored static scale, identity
"default-v1" with the version inside the string. Checking the prerequisite
turned up why that is affordable: KeyContext is not defined anywhere and the
spec puts its completion out of scope, but KeySignature { fifths } already
exists, is canonical, and is encoded -- so the anchor is (7 * fifths) mod 12
today, mode-blind exactly as ruled. C, G and D are fifths 0, 1 and 2; the
catalog's three anchors were never arbitrary.
Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
Levi Neuwirth
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