167edo: Difference between revisions

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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" | [[Mapping]]~~

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

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

|-

~~! [[TE error|Absolute]] (¢)~~

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

|-

| 2.3

| {{monzo| 265 -167 }}

| {{mapping| 167 265 }}

| -0.7056

| −0.7056

| 0.7052

| 9.81

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| 393216/390625, {{monzo| 31 -21 1 }}

| {{mapping| 167 265 388 }}

| -0.7158

| −0.7158

| 0.5759

| 8.01

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| 2401/2400, 3136/3125, 179200/177147

| {{mapping| 167 265 388 469 }}

| -0.6467

| −0.6467

| 0.5129

| 7.14

Line 52:

Line 44:

| 896/891, 2200/2187, 2401/2400, 3136/3125

| {{mapping| 167 265 388 469 578 }}

| -0.6315

| −0.6315

| 0.4598

| 6.40

Line 59:

Line 51:

| 325/324, 352/351, 364/363, 1001/1000, 1716/1715

| {{mapping| 167 265 388 469 578 618 }}

| -0.5349

| −0.5349

| 0.4721

| 6.57

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| 256/255, 325/324, 352/351, 364/363, 442/441, 1001/1000

| {{mapping| 167 265 388 469 578 618 683 }}

| -0.5573

| −0.5573

| 0.4405

| 6.13

|}

=== Rank-2 temperaments ===

{~~| class="wikitable center-all left-5"~~

~~|+Table of~~ rank-2 ~~temperaments by generator~~

~~! Periods<br>per 8ve~~

! Generator*

! Cents*

! Associated<br>Ratio*

~~! Temperaments~~

|-

| 1

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| 242/175

| [[Whoops]]

|}

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

== Scales ==

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== Music ==

; [[Francium]]

* "way too random partying" from ''Helayo EP'' (2023) – [https://open.spotify.com/track/4yf5R4eVOxK2fgZEZRfCqU Spotify] | [https://francium223.bandcamp.com/track/way-too-random-partying Bandcamp] | [https://youtu.be/33T11NI7EQQ?si=mZ57p2EN4uvPCVo7 YouTube] – helayo in 167edo tuning

* "moving on" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/5h0JcJ4YTQV20CB9N8S8Af Spotify] | [https://francium223.bandcamp.com/track/moving-on Bandcamp] | [https://www.youtube.com/watch?v=FSjU0-w6XVE YouTube]

* "ordering the universal theme on wish" from ''End of Sartorius Membranes'' (2024) – [https://open.spotify.com/track/00S85fGWQBI19kRwC9GrJ2 Spotify] | [https://francium223.bandcamp.com/track/ordering-the-universal-theme-on-wish Bandcamp] | [https://www.youtube.com/watch?v=g70V2NIPq1I YouTube]

* "Funky Man's Love" from ''Abbreviations Gone Wrong'' (2024) – [https://open.spotify.com/track/0ILOgCY4pzx7S3B51wA9ee Spotify] | [https://francium223.bandcamp.com/track/funky-mans-love Bandcamp] | [https://www.youtube.com/watch?v=4Evj3vX8ZDY YouTube]

[[Category:Listen]]

@@ Line 18: / Line 18: @@
 == Regular temperament properties ==
-{| class="wikitable center-4 center-5 center-6"
+{{comma basis begin}}
-! rowspan="2" | [[Subgroup]]
-! rowspan="2" | [[Comma list|Comma List]]
-! rowspan="2" | [[Mapping]]
-! rowspan="2" | Optimal<br>8ve Stretch (¢)
-! colspan="2" | Tuning Error
-|-
-! [[TE error|Absolute]] (¢)
-! [[TE simple badness|Relative]] (%)
 |-
 | 2.3
 | {{monzo| 265 -167 }}
 | {{mapping| 167 265 }}
-| -0.7056
+| &minus;0.7056
 | 0.7052
 | 9.81
@@ Line 38: / Line 30: @@
 | 393216/390625, {{monzo| 31 -21 1 }}
 | {{mapping| 167 265 388 }}
-| -0.7158
+| &minus;0.7158
 | 0.5759
 | 8.01
@@ Line 45: / Line 37: @@
 | 2401/2400, 3136/3125, 179200/177147
 | {{mapping| 167 265 388 469 }}
-| -0.6467
+| &minus;0.6467
 | 0.5129
 | 7.14
@@ Line 52: / Line 44: @@
 | 896/891, 2200/2187, 2401/2400, 3136/3125
 | {{mapping| 167 265 388 469 578 }}
-| -0.6315
+| &minus;0.6315
 | 0.4598
 | 6.40
@@ Line 59: / Line 51: @@
 | 325/324, 352/351, 364/363, 1001/1000, 1716/1715
 | {{mapping| 167 265 388 469 578 618 }}
-| -0.5349
+| &minus;0.5349
 | 0.4721
 | 6.57
@@ Line 66: / Line 58: @@
 | 256/255, 325/324, 352/351, 364/363, 442/441, 1001/1000
 | {{mapping| 167 265 388 469 578 618 683 }}
-| -0.5573
+| &minus;0.5573
 | 0.4405
 | 6.13
-|}
+{{comma basis end}}
 === Rank-2 temperaments ===
-{| class="wikitable center-all left-5"
+{{rank-2 begin}}
-|+Table of rank-2 temperaments by generator
-! Periods<br>per 8ve
-! Generator*
-! Cents*
-! Associated<br>Ratio*
-! Temperaments
 |-
 | 1
@@ Line 127: / Line 113: @@
 | 242/175
 | [[Whoops]]
-|}
+{{rank-2 end}}
-<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
+{{orf}}
 == Scales ==
@@ Line 135: / Line 121: @@
 == Music ==
 ; [[Francium]]
-* "way too random partying" from ''Helayo EP'' (2023) – [https://open.spotify.com/track/4yf5R4eVOxK2fgZEZRfCqU Spotify] | [https://francium223.bandcamp.com/track/way-too-random-partying Bandcamp] | [https://youtu.be/33T11NI7EQQ?si=mZ57p2EN4uvPCVo7 YouTube] – helayo in 167edo tuning
+* "way too random partying" from ''Helayo EP'' (2023) &ndash; [https://open.spotify.com/track/4yf5R4eVOxK2fgZEZRfCqU Spotify] | [https://francium223.bandcamp.com/track/way-too-random-partying Bandcamp] | [https://youtu.be/33T11NI7EQQ?si=mZ57p2EN4uvPCVo7 YouTube] &ndash; helayo in 167edo tuning
-* "moving on" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/5h0JcJ4YTQV20CB9N8S8Af Spotify] | [https://francium223.bandcamp.com/track/moving-on Bandcamp] | [https://www.youtube.com/watch?v=FSjU0-w6XVE YouTube]
+* "moving on" from ''hope in dark times'' (2024) &ndash; [https://open.spotify.com/track/5h0JcJ4YTQV20CB9N8S8Af Spotify] | [https://francium223.bandcamp.com/track/moving-on Bandcamp] | [https://www.youtube.com/watch?v=FSjU0-w6XVE YouTube]
-* "ordering the universal theme on wish" from ''End of Sartorius Membranes'' (2024) – [https://open.spotify.com/track/00S85fGWQBI19kRwC9GrJ2 Spotify] | [https://francium223.bandcamp.com/track/ordering-the-universal-theme-on-wish Bandcamp] | [https://www.youtube.com/watch?v=g70V2NIPq1I YouTube]
+* "ordering the universal theme on wish" from ''End of Sartorius Membranes'' (2024) &ndash; [https://open.spotify.com/track/00S85fGWQBI19kRwC9GrJ2 Spotify] | [https://francium223.bandcamp.com/track/ordering-the-universal-theme-on-wish Bandcamp] | [https://www.youtube.com/watch?v=g70V2NIPq1I YouTube]
-* "Funky Man's Love" from ''Abbreviations Gone Wrong'' (2024) – [https://open.spotify.com/track/0ILOgCY4pzx7S3B51wA9ee Spotify] | [https://francium223.bandcamp.com/track/funky-mans-love Bandcamp] | [https://www.youtube.com/watch?v=4Evj3vX8ZDY YouTube]
+* "Funky Man's Love" from ''Abbreviations Gone Wrong'' (2024) &ndash; [https://open.spotify.com/track/0ILOgCY4pzx7S3B51wA9ee Spotify] | [https://francium223.bandcamp.com/track/funky-mans-love Bandcamp] | [https://www.youtube.com/watch?v=4Evj3vX8ZDY YouTube]
 [[Category:Listen]]