188edo: Difference between revisions

Line 2:

188edo is closely related to [[94edo]], but the [[patent val]]s differ on the mapping for [[5/1|5]]. The equal temperament [[tempering out|tempers out]] 129140163/128000000 ([[graviton]]) and 268435456/263671875 ([[mabila comma]]) in the 5-limit; [[2401/2400]], [[19683/19600]], and 110592/109375 in the 7-limit.

188edo is closely related to [[94edo]], but the [[patent val]]s differ on the mapping for [[5/1|5]]. The equal temperament [[tempering out|tempers out]] 129140163/128000000 ([[graviton]]) and 268435456/263671875 ([[mabila comma]]) in the 5-limit; [[2401/2400]], [[19683/19600]], and 110592/109375 in the 7-limit. It [[support]]s [[harry]] and [[newt]], and provides the [[optimal patent val]] for [[tuskaloosa]], the 77 & 111 temperament.

Using the [[patent val]], it tempers out [[176/175]], 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; [[351/350]], [[352/351]], [[676/675]], [[1573/1568]], and 16848/16807 in the 13-limit. It [[~~support~~]]s the 7-limit [[~~reenactment~~]] ~~temperament~~, ~~described as 188 & 360~~.

Using the [[patent val]], it tempers out [[176/175]], 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; [[351/350]], [[352/351]], [[676/675]], [[1573/1568]], and 16848/16807 in the 13-limit; supporting 13-limit tuskaloosa. Using the alternative 188e val, [[243/242]], [[441/440]], [[540/539]], [[8019/8000]], and [[9801/9800]] in the 11-limit; 351/350, [[1716/1715]], and [[2080/2079]] in the 13-limit; supporting 13-limit harry.

188cef val is a tuning for the [[hemigari]] temperament in the 11- and 13-limit.

The 188cef val is a tuning for the [[hemigari]] temperament in the 11- and 13-limit.

=== Odd harmonics ===

@@ Line 2: / Line 2: @@
 {{EDO intro|188}}
-edo is closely related to [[94edo]], but the [[patent val]]s differ on the mapping for [[5/1|5]]. The equal temperament [[tempering out|tempers out]] 129140163/128000000 ([[graviton]]) and 268435456/263671875 ([[mabila comma]]) in the 5-limit; [[2401/2400]], [[19683/19600]], and 110592/109375 in the 7-limit.
+edo is closely related to [[94edo]], but the [[patent val]]s differ on the mapping for [[5/1|5]]. The equal temperament [[tempering out|tempers out]] 129140163/128000000 ([[graviton]]) and 268435456/263671875 ([[mabila comma]]) in the 5-limit; [[2401/2400]], [[19683/19600]], and 110592/109375 in the 7-limit. It [[support]]s [[harry]] and [[newt]], and provides the [[optimal patent val]] for [[tuskaloosa]], the 77 & 111 temperament.
-Using the [[patent val]], it tempers out [[176/175]], 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; [[351/350]], [[352/351]], [[676/675]], [[1573/1568]], and 16848/16807 in the 13-limit. It [[support]]s the 7-limit [[reenactment]] temperament, described as 188 & 360.
+Using the [[patent val]], it tempers out [[176/175]], 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; [[351/350]], [[352/351]], [[676/675]], [[1573/1568]], and 16848/16807 in the 13-limit; supporting 13-limit tuskaloosa. Using the alternative 188e val, [[243/242]], [[441/440]], [[540/539]], [[8019/8000]], and [[9801/9800]] in the 11-limit; 351/350, [[1716/1715]], and [[2080/2079]] in the 13-limit; supporting 13-limit harry.
-cef val is a tuning for the [[hemigari]] temperament in the 11- and 13-limit.
+The 188cef val is a tuning for the [[hemigari]] temperament in the 11- and 13-limit.
 === Odd harmonics ===