Archon

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Revision as of 17:53, 21 September 2025 by Overthink (talk | contribs) (Created page with "{{Mathematical interest}} de:Miracle {{Infobox Regtemp | Title = Archon | Subgroups = 2.3.5 | Comma basis = 5/4 | Edo join 1 = 1 | Edo join 2 = 2c | Generator = 3/2 | Generator tuning = 702.0 | Optimization method = CTE | MOS scales = 1L 1s, 2L 1s, 2L 3s, 5L 2s | Mapping = 1; 1 0 | Pergen = (P8, P5) | Odd limit 1 = 5 | Mistuning 1 = 386.3 | Complexity 1 = 3 | Odd limit 2 = (5-limit) 15 | Mistuning 2 = 386.3 | Complexity 2 = 5 }} Archon is the 5-limit...")
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This page presents a topic of primarily mathematical interest.

While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown.

Lua error in Module:Infobox_regtemp at line 138: attempt to perform arithmetic on local 'generator_size' (a nil value). Archon is the 5-limit rank-2 temperament tempering out 5/4, the classical major third. This effectively removes harmonic 5 from the system, and we are left with the 3-limit. This temperament is clearly not meant for melodic or harmonic use due to its extreme inaccuracy. It could, however, serve as a skeleton where pythagorean tuning is the base, and higher limits are built off of it.

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