Magic

Subgroups

2.3.5, 2.3.5.7

Reduced mapping

⟨1; 5 1 12]

ET join

Generators (CWE)

~5/4 = 380.5¢

MOS scales

Ploidacot

alpha-pentacot

Comma basis

3125/3072 (5-limit);
225/224, 245/243 (7-limit)

Minimax error

5-odd-limit: 5.9¢;
9-odd-limit: 5.9¢

Target scale size

5-odd-limit: 7 notes;
9-odd-limit: 13 notes

View • Talk • EditRegular temperaments
Rank-2
Acot	Blackwood (1/5-octave) • Whitewood (1/7-octave) • Compton (1/12-octave)
Monocot	Meantone • Schismic • Gentle-fifth temperaments • Archy
Complexity 2	Diaschismic (diploid monocot) • Pajara (diploid monocot) • Injera (diploid monocot) • Rastmatic (dicot) • Mohajira (dicot) • Intertridecimal (dicot) • Interseptimal (alpha-dicot)
Complexity 3	Augmented (triploid) • Misty (triploid) • Slendric (tricot) • Porcupine (omega-tricot)
Complexity 4	Diminished (tetraploid) • Tetracot (tetracot) • Buzzard (alpha-tetracot) • Squares (beta-tetracot) • Negri (omega-tetracot)
Complexity 5-6	Magic (alpha-pentacot) • Amity (gamma-pentacot) • Kleismic (alpha-hexacot) • Miracle (hexacot)
Higher complexity	Orwell (alpha-heptacot) • Sensi (beta-heptacot) • Octacot (octacot) • Wurschmidt (beta-octacot) • Valentine (enneacot) • Ammonite (epsilon-enneacot) • Myna (beta-decacot) • Ennealimmal (enneaploid dicot)
Straddle-3	A-Team (alter-tricot) • Machine (alter-monocot)
No-3	Mabilic (alpha-triseph) • Orgone (trimech) • Didacus (diseph)
No-octaves	Sensamagic (monogem)
Exotemperaments	Dicot • Mavila • Father
Higher-rank
Rank-3	Hemifamity • Marvel • Parapyth

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