1178edo: Difference between revisions

(One intermediate revision by the same user not shown)

Line 1:

== Theory ==

Line 9:

=== Subsets and supersets ===

Since 1178 = {{factorization|1178}}, 1178edo is notable for containing both 19 and 31. Its subset edos are {{EDOs| 2, 19, 31, 38, 62, and 589 }}.

Since 1178 factors into {{factorization|1178}}, 1178edo is notable for containing both 19 and 31. Its subset edos are {{EDOs| 2, 19, 31, 38, 62, and 589 }}.

== Regular temperament properties ==

Line 61:

| 2500/2499, 3025/3024, 4225/4224, 4375/4374, 4914/4913, 14875/14872

| {{mapping| 1178 1867 2735 3307 4075 4359 4815 }}

| 0.0403

| +0.0403

| 0.0327

| 3.21

Line 68:

| 2500/2499, 3025/3024, 3250/3249, 4200/4199, 4225/4224, 4375/4374, 4914/4913

| {{mapping| 1178 1867 2735 3307 4075 4359 4815 5004 }}

| 0.0370

| +0.0370

| 0.0318

| 3.12

Line 113:

| [[Hemienneadecal]]

|}

<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if ~~it is~~ distinct

<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct

== Music ==

; [[Eliora]]

* [https://www.youtube.com/watch?v=c9e7MTsIDc4 ''Listening''] (2023) &~~ndash~~; ~~217 &~~ 1178 and enneadecal in 1178edo tuning

* [https://www.youtube.com/watch?v=c9e7MTsIDc4 ''Listening''] (2023) – {{nowrap|217 & 1178}} and enneadecal in 1178edo tuning

[[Category:Enneadecal]]

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|1178}}
+{{ED intro}}
 == Theory ==
@@ Line 9: / Line 9: @@
 === Subsets and supersets ===
-Since 1178 = {{factorization|1178}}, 1178edo is notable for containing both 19 and 31. Its subset edos are {{EDOs| 2, 19, 31, 38, 62, and 589 }}.
+Since 1178 factors into {{factorization|1178}}, 1178edo is notable for containing both 19 and 31. Its subset edos are {{EDOs| 2, 19, 31, 38, 62, and 589 }}.
 == Regular temperament properties ==
@@ Line 61: / Line 61: @@
 | 2500/2499, 3025/3024, 4225/4224, 4375/4374, 4914/4913, 14875/14872
 | {{mapping| 1178 1867 2735 3307 4075 4359 4815 }}
-| 0.0403
+| +0.0403
 | 0.0327
 | 3.21
@@ Line 68: / Line 68: @@
 | 2500/2499, 3025/3024, 3250/3249, 4200/4199, 4225/4224, 4375/4374, 4914/4913
 | {{mapping| 1178 1867 2735 3307 4075 4359 4815 5004 }}
-| 0.0370
+| +0.0370
 | 0.0318
 | 3.12
@@ Line 113: / Line 113: @@
 | [[Hemienneadecal]]
 |}
-<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
+<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
 == Music ==
 ; [[Eliora]]
-* [https://www.youtube.com/watch?v=c9e7MTsIDc4 ''Listening''] (2023) &ndash; 217 & 1178 and enneadecal in 1178edo tuning
+* [https://www.youtube.com/watch?v=c9e7MTsIDc4 ''Listening''] (2023) – {{nowrap|217 &amp; 1178}} and enneadecal in 1178edo tuning
 [[Category:Enneadecal]]