229edo: Difference between revisions

Line 9:

== Theory ==

While not highly accurate for its size, ~~229et~~ is the point where a few important temperaments meet, and is distinctly [[consistent]] in the [[11-odd-limit]]. It tempers out 393216/390625 ([[würschmidt comma]]) and {{monzo| 39 -29 3 }} ([[tricot comma]]) in the 5-limit; [[2401/2400]], [[3136/3125]], [[6144/6125]], and [[14348907/14336000]] in the 7-limit; [[3025/3024]], [[3388/3375]], [[8019/8000]], [[14641/14580]] and 15488/15435 in the 11-limit, and using the [[patent val]], [[351/350]], [[2080/2079]], and [[4096/4095]] in the 13-limit, notably supporting [[hemiwürschmidt]], [[newt]], and [[trident]].

While not highly accurate for its size, 229edo is the point where a few important temperaments meet, and is distinctly [[consistent]] in the [[11-odd-limit]]. It tempers out 393216/390625 ([[würschmidt comma]]) and {{monzo| 39 -29 3 }} ([[tricot comma]]) in the 5-limit; [[2401/2400]], [[3136/3125]], [[6144/6125]], and [[14348907/14336000]] in the 7-limit; [[3025/3024]], [[3388/3375]], [[8019/8000]], [[14641/14580]] and 15488/15435 in the 11-limit, and using the [[patent val]], [[351/350]], [[2080/2079]], and [[4096/4095]] in the 13-limit, notably supporting [[hemiwürschmidt]], [[newt]], and [[trident]].

The 229b val supports a [[septimal meantone]] close to the [[CTE tuning]].

Line 92:

| 99.56

| 18/17

| [[Quintagar]] / [[~~quintasandra~~]] / [[~~quintasandroid~~]]

| [[Quintagar]] / [[quinsandra]] / [[quinsandric]]

|-

| 1

@@ Line 9: / Line 9: @@
 == Theory ==
-While not highly accurate for its size, 229et is the point where a few important temperaments meet, and is distinctly [[consistent]] in the [[11-odd-limit]]. It tempers out 393216/390625 ([[würschmidt comma]]) and {{monzo| 39 -29 3 }} ([[tricot comma]]) in the 5-limit; [[2401/2400]], [[3136/3125]], [[6144/6125]], and [[14348907/14336000]] in the 7-limit; [[3025/3024]], [[3388/3375]], [[8019/8000]], [[14641/14580]] and 15488/15435 in the 11-limit, and using the [[patent val]], [[351/350]], [[2080/2079]], and [[4096/4095]] in the 13-limit, notably supporting [[hemiwürschmidt]], [[newt]], and [[trident]].
+While not highly accurate for its size, 229edo is the point where a few important temperaments meet, and is distinctly [[consistent]] in the [[11-odd-limit]]. It tempers out 393216/390625 ([[würschmidt comma]]) and {{monzo| 39 -29 3 }} ([[tricot comma]]) in the 5-limit; [[2401/2400]], [[3136/3125]], [[6144/6125]], and [[14348907/14336000]] in the 7-limit; [[3025/3024]], [[3388/3375]], [[8019/8000]], [[14641/14580]] and 15488/15435 in the 11-limit, and using the [[patent val]], [[351/350]], [[2080/2079]], and [[4096/4095]] in the 13-limit, notably supporting [[hemiwürschmidt]], [[newt]], and [[trident]].
 The 229b val supports a [[septimal meantone]] close to the [[CTE tuning]].
@@ Line 92: / Line 92: @@
 | 99.56
 | 18/17
-| [[Quintagar]] / [[quintasandra]] / [[quintasandroid]]
+| [[Quintagar]] / [[quinsandra]] / [[quinsandric]]
 |-
 | 1