469edo: Difference between revisions

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== Theory ==

469et is only [[consistent]] to the [[5-odd-limit]] and the error of the [[harmonic]] [[3/1|3]] is quite large. It can be considered for the 2.9.5.7.13.17 [[subgroup]], tempering out [[2601/2600]], 7616/7605, [[5832/5831]], 60112/60025 and 265625/264992. It [[support]]s [[gravity~~]] and [[french decimal~~]].

469et is only [[consistent]] to the [[5-odd-limit]] and the error of the [[harmonic]] [[3/1|3]] is quite large. It can be considered for the 2.9.5.7.13.17 [[subgroup]], tempering out [[2601/2600]], 7616/7605, [[5832/5831]], 60112/60025 and 265625/264992. It [[support]]s [[gravity]].

=== Odd harmonics ===

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== Regular temperament properties ==

{| class="wikitable center-4 center-5 center-6"

|-

! rowspan="2" | [[Subgroup]]

! rowspan="2" | [[Comma list~~|Comma List~~]]

! rowspan="2" | [[Comma list]]

! rowspan="2" | [[Mapping]]

! rowspan="2" | Optimal<br>8ve ~~Stretch~~ (¢)

! rowspan="2" | Optimal<br />8ve stretch (¢)

! colspan="2" | Tuning ~~Error~~

! colspan="2" | Tuning error

|-

! [[TE error|Absolute]] (¢)

! [[TE simple badness|Relative]] (%)

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| {{monzo| 1487 -469 }}

| {{mapping| 469 1487 }}

| -0.1232

| −0.1232

| 0.1232

| 4.82

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| {{monzo| 38 -1 -15 }}, {{monzo| 13 -29 34 }}

| {{mapping| 469 1487 1089 }}

| -0.0879

| −0.0879

| 0.1122

| 4.39

|}

@@ Line 3: / Line 3: @@
 == Theory ==
-et is only [[consistent]] to the [[5-odd-limit]] and the error of the [[harmonic]] [[3/1|3]] is quite large. It can be considered for the 2.9.5.7.13.17 [[subgroup]], tempering out [[2601/2600]], 7616/7605, [[5832/5831]], 60112/60025 and 265625/264992. It [[support]]s [[gravity]] and [[french decimal]].
+et is only [[consistent]] to the [[5-odd-limit]] and the error of the [[harmonic]] [[3/1|3]] is quite large. It can be considered for the 2.9.5.7.13.17 [[subgroup]], tempering out [[2601/2600]], 7616/7605, [[5832/5831]], 60112/60025 and 265625/264992. It [[support]]s [[gravity]].
 === Odd harmonics ===
@@ Line 13: / Line 13: @@
 == Regular temperament properties ==
 {| class="wikitable center-4 center-5 center-6"
+|-
 ! rowspan="2" | [[Subgroup]]
-! rowspan="2" | [[Comma list|Comma List]]
+! rowspan="2" | [[Comma list]]
 ! rowspan="2" | [[Mapping]]
-! rowspan="2" | Optimal<br>8ve Stretch (¢)
+! rowspan="2" | Optimal<br />8ve stretch (¢)
-! colspan="2" | Tuning Error
+! colspan="2" | Tuning error
 |-
 ! [[TE error|Absolute]] (¢)
 ! [[TE simple badness|Relative]] (%)
@@ Line 25: / Line 26: @@
 | {{monzo| 1487 -469 }}
 | {{mapping| 469 1487 }}
-| -0.1232
+| −0.1232
 | 0.1232
 | 4.82
@@ Line 32: / Line 33: @@
 | {{monzo| 38 -1 -15 }}, {{monzo| 13 -29 34 }}
 | {{mapping| 469 1487 1089 }}
-| -0.0879
+| −0.0879
 | 0.1122
 | 4.39
 |}