1106edo: Difference between revisions

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1106edo is a [[zeta peak edo]]. It is strong as a 7-limit system; the only edos lower than it with a lower 7-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]] being {{EDOs| 171, 270, 342, 441 and 612 }}. It is even stronger in the 11-limit; the only ones beating it out now being {{EDOs| 270, 342 and 612 }}. It is less strong in the 13- and 17-limit, but even so is [[consistency|distinctly consistent]] through the [[17-odd-limit]].

It notably supports [[supermajor]], [[brahmagupta]], and [[orga]] in the 7-limit, and ~~notably~~ [[semisupermajor]] in the 11-limit. In the higher limits, it supports the 79th-octave temperament [[gold]].

The equal temperament [[tempering out|tempers out]] {{monzo| -53 10 16 }} (kwazy comma) and {{monzo| -13 -46 37 }} (supermajor comma) in the 5-limit; [[4375/4374]] and 52734375/52706752 in the 7-limit; [[3025/3024]] and [[9801/9800]] in the 11-limit; [[4096/4095]], 78125/78078, and 105644/105625 in the 13-limit; [[2500/2499]], [[4914/4913]], and 8624/8619 in the 17-limit. It notably supports [[supermajor]], [[brahmagupta]], and [[orga]] in the 7-limit, and [[semisupermajor]] in the 11-limit. In the higher limits, it supports the 79th-octave temperament [[gold]].

=== Prime harmonics ===

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|-

| 2.3.5

| {{monzo| -53 10 16 }}, {{monzo| 40 -~~56 21~~ }}

| {{monzo| -53 10 16 }}, {{monzo| -13 -46 37 }}

| {{mapping| 1106 1753 2568 }}

| +0.001

Line 88:

| 9/7

| [[Supermajor]]

|-

| 2

| 150\1106

| 162.749

| 1125/1024

| [[Kwazy]]

|-

| 2

@@ Line 5: / Line 5: @@
 edo is a [[zeta peak edo]]. It is strong as a 7-limit system; the only edos lower than it with a lower 7-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]] being {{EDOs| 171, 270, 342, 441 and 612 }}. It is even stronger in the 11-limit; the only ones beating it out now being {{EDOs| 270, 342 and 612 }}. It is less strong in the 13- and 17-limit, but even so is [[consistency|distinctly consistent]] through the [[17-odd-limit]].
-It notably supports [[supermajor]], [[brahmagupta]], and [[orga]] in the 7-limit, and notably [[semisupermajor]] in the 11-limit. In the higher limits, it supports the 79th-octave temperament [[gold]].
+The equal temperament [[tempering out|tempers out]] {{monzo| -53 10 16 }} (kwazy comma) and {{monzo| -13 -46 37 }} (supermajor comma) in the 5-limit; [[4375/4374]] and 52734375/52706752 in the 7-limit; [[3025/3024]] and [[9801/9800]] in the 11-limit; [[4096/4095]], 78125/78078, and 105644/105625 in the 13-limit; [[2500/2499]], [[4914/4913]], and 8624/8619 in the 17-limit. It notably supports [[supermajor]], [[brahmagupta]], and [[orga]] in the 7-limit, and [[semisupermajor]] in the 11-limit. In the higher limits, it supports the 79th-octave temperament [[gold]].
 === Prime harmonics ===
@@ Line 32: / Line 32: @@
 |-
 | 2.3.5
-| {{monzo| -53 10 16 }}, {{monzo| 40 -56 21 }}
+| {{monzo| -53 10 16 }}, {{monzo| -13 -46 37 }}
 | {{mapping| 1106 1753 2568 }}
 | +0.001
@@ Line 88: / Line 88: @@
 | 9/7
 | [[Supermajor]]
+|-
+| 2
+| 150\1106
+| 162.749
+| 1125/1024
+| [[Kwazy]]
 |-
 | 2