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152edo: Difference between revisions

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Note: 15-integer-limit consistency, 11-, 19- and 23-limit excellency. -redundant category; +category.
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== Regular temperament properties ==
== 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
| 2.3
| {{monzo| 241 -152 }}
| {{monzo| 241 -152 }}
| {{mapping| 152 241 }}
| {{mapping| 152 241 }}
| -0.213
| &minus;0.213
| 0.213
| 0.213
| 2.70
| 2.70
Line 36: Line 28:
| 1600000/1594323, {{monzo| 32 -7 -9 }}
| 1600000/1594323, {{monzo| 32 -7 -9 }}
| {{mapping| 152 241 353 }}
| {{mapping| 152 241 353 }}
| -0.218
| &minus;0.218
| 0.174
| 0.174
| 2.21
| 2.21
Line 43: Line 35:
| 4375/4374, 5120/5103, 16875/16807
| 4375/4374, 5120/5103, 16875/16807
| {{mapping| 152 241 353 427 }}
| {{mapping| 152 241 353 427 }}
| -0.362
| &minus;0.362
| 0.291
| 0.291
| 3.69
| 3.69
Line 50: Line 42:
| 540/539, 1375/1372, 4000/3993, 5120/5103
| 540/539, 1375/1372, 4000/3993, 5120/5103
| {{mapping| 152 241 353 427 526 }}
| {{mapping| 152 241 353 427 526 }}
| -0.365
| &minus;0.365
| 0.260
| 0.260
| 3.30
| 3.30
Line 57: Line 49:
| 352/351, 540/539, 625/624, 729/728, 1575/1573
| 352/351, 540/539, 625/624, 729/728, 1575/1573
| {{mapping| 152 241 353 427 526 563 }} (152f)
| {{mapping| 152 241 353 427 526 563 }} (152f)
| -0.494
| &minus;0.494
| 0.373
| 0.373
| 4.73
| 4.73
|}
{{comma basis end}}
* 152et (152fg val) has lower absolute errors in the 11-, 19-, and 23-limit than any previous equal temperaments. In the 11-limit it is the first to beat [[130edo|130]] and is superseded by [[224edo|224]]. In the 19- and 23-limit it is the first to beat [[140edo|140]] and is superseded by [[159edo|159]].  
* 152et (152fg val) has lower absolute errors in the 11-, 19-, and 23-limit than any previous equal temperaments. In the 11-limit it is the first to beat [[130edo|130]] and is superseded by [[224edo|224]]. In the 19- and 23-limit it is the first to beat [[140edo|140]] and is superseded by [[159edo|159]].  
* It is best at the no-17 19- and 23-limit, in which it has lower relative errors than any previous equal temperaments. Not until [[270edo|270]] do we find a better equal temperament that does better in either of those subgroups.  
* It is best at the no-17 19- and 23-limit, in which it has lower relative errors than any previous equal temperaments. Not until [[270edo|270]] do we find a better equal temperament that does better in either of those subgroups.  


=== Rank-2 temperaments ===
=== 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
| 1
Line 128: Line 114:
|-
|-
| 2
| 2
| 43\152<br>(33\152)
| 43\152<br />(33\152)
| 339.47<br>(260.53)
| 339.47<br />(260.53)
| 243/200<br>(64/55)
| 243/200<br />(64/55)
| [[Hemiamity]]
| [[Hemiamity]]
|-
|-
| 2
| 2
| 55\152<br>(21\152)
| 55\152<br />(21\152)
| 434.21<br>(165.79)
| 434.21<br />(165.79)
| 9/7<br>(11/10)
| 9/7<br />(11/10)
| [[Supers]]
| [[Supers]]
|-
|-
| 4
| 4
| 63\152<br>(13\152)
| 63\152<br />(13\152)
| 497.37<br>(102.63)
| 497.37<br />(102.63)
| 4/3<br>(35/33)
| 4/3<br />(35/33)
| [[Undim]] / [[unlit]]
| [[Undim]] / [[unlit]]
|-
|-
| 8
| 8
| 63\152<br>(6\152)
| 63\152<br />(6\152)
| 497.37<br>(47.37)
| 497.37<br />(47.37)
| 4/3<br>(36/35)
| 4/3<br />(36/35)
| [[Twilight]]
| [[Twilight]]
|-
|-
| 8
| 8
| 74\152<br>(2\152)
| 74\152<br />(2\152)
| 584.21<br>(15.79)
| 584.21<br />(15.79)
| 7/5<br>(126/125)
| 7/5<br />(126/125)
| [[Octoid]] (152f) / [[octopus]] (152)
| [[Octoid]] (152f) / [[octopus]] (152)
|-
|-
| 19
| 19
| 63\152<br>(1\152)
| 63\152<br />(1\152)
| 497.37<br>(7.89)
| 497.37<br />(7.89)
| 4/3<br>(225/224)
| 4/3<br />(225/224)
| [[Enneadecal]]
| [[Enneadecal]]
|-
|-
| 38
| 38
| 63\152<br>(1\152)
| 63\152<br />(1\152)
| 497.37<br>(7.89)
| 497.37<br />(7.89)
| 4/3<br>(225/224)
| 4/3<br />(225/224)
| [[Hemienneadecal]]
| [[Hemienneadecal]]
|}
{{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}}


== Music ==
== Music ==
; [[birdshite stalactite]]
; [[birdshite stalactite]]
* "athlete's feet" from ''razorblade tiddlywinks'' (2023) – [https://open.spotify.com/track/32c34U3syZDMAJkBzgh2pd Spotify] | [https://birdshitestalactite.bandcamp.com/track/athletes-feet Bandcamp] | [https://www.youtube.com/watch?v=lXqVaVn3SrA YouTube]
* "athlete's feet" from ''razorblade tiddlywinks'' (2023) &ndash; [https://open.spotify.com/track/32c34U3syZDMAJkBzgh2pd Spotify] | [https://birdshitestalactite.bandcamp.com/track/athletes-feet Bandcamp] | [https://www.youtube.com/watch?v=lXqVaVn3SrA YouTube]


[[Category:Amity]]
[[Category:Amity]]
Retrieved from "https://en.xen.wiki/w/152edo"