Bird's eye view of temperaments by accuracy: Difference between revisions

Orwell is an 11-limit tempermant generated by a slightly sharp subminor third representing [[7/6]], seven of which reach [[6/1]]. Three subminor thirds reach [[8/5]], and two reach [[11/8]]. This temperament is arguably one of the simplest 11-limit temperaments with decent accuracy, and is supported by the highly notable edos {{edos|22, 31, and 53.}} This temperament is more accurate than its bound suggests, very nearly being a microtemperament in the 5-limit (5-odd-limit minimax error 1.006{{c}}!), and quite high accuracy in the 7-limit (only intervals violating 4{{c}} bound being 7/6 and 9/7), so the least accurate prime is 11, and this temperament can only barely be considered "low accuracy". However, the mapping for 11 is very simple, and the 7-limit, while decent for its complexity, is not the best. For example, [[#Garibaldi]] is (just barely) simpler ''and'' more accurate in the [[9-odd-limit]], so this temperament really comes into its own in the 11-limit. Important commas tempered out by orwell include [[99/98]], [[121/120]], [[176/175]], [[225/224]], [[385/384]], [[540/539]], and [[1728/1715]].