Xenharmonic Wiki

595/594: Difference between revisions

← Older edit
VisualWikitext
→Temperaments: +subgroup temp
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
18,310 edits
mNo edit summary
 
(3 intermediate revisions by 3 users not shown)
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Name = dakotisma
| Name = dakotisma
| Color name = 17o1uzy2, soluzoyo 2nd
| Comma = yes
| Comma = yes
}}
}}
Line 42: Line 43:


[[Mapping]]: <br>
[[Mapping]]: <br>
[{{val| 1 0 0 0 0 0 1 }}<br>
{| class="right-all"
{{val| 0 1 0 0 0 0 3 }}<br>
|-
{{val| 0 0 1 0 0 0 -1 }}<br>
| [⟨ || 1 || 0 || 0 || 0 || 0 || 0 || 1 || ],
{{val| 0 0 0 1 0 0 -1 }}<br>
|-
{{val| 0 0 0 0 1 0 1 }}<br>
| ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || 3 || ],
{{val| 0 0 0 0 0 1 0 }}]
|-
| ⟨ || 0 || 0 || 1 || 0 || 0 || 0 || -1 || ],
|-
| ⟨ || 0 || 0 || 0 || 1 || 0 || 0 || -1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 1 || 0 || 1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 1 || 0 || ]]
|}


Mapping generators: ~2, ~3, ~5, ~7, ~11, ~13  
: mapping generators: ~2, ~3, ~5, ~7, ~11, ~13  


[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 702.2950, ~5/4 = 386.0705, ~7/4 = 968.4704, ~11/8 = 551.8578, ~13/8 = 840.5277
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 702.2950, ~5/4 = 386.0705, ~7/4 = 968.4704, ~11/8 = 551.8578, ~13/8 = 840.5277


{{Val list|legend=1| 12f, 14cf, 15g, 19eg, 22, 26, 27eg, 34d, 38df, 41, 46, 58, 72, 121, 140, 171, 190g, 212g, 217, 289, 311, 668, 694g, 740g, 1051dg }}*
{{Optimal ET sequence|legend=1| 12f, 14cf, 15g, 19eg, 22, 26, 27eg, 34d, 38df, 41, 46, 58, 72, 121, 140, 171, 190g, 212g, 217, 289, 311, 668, 694g, 740g, 1051dg }}*


<nowiki>*</nowiki> [[optimal patent val]]: [[861edo|861]]
<nowiki>*</nowiki> [[optimal patent val]]: [[861edo|861]]
Line 61: Line 70:


[[Sval]] [[mapping]]: <br>
[[Sval]] [[mapping]]: <br>
[{{val| 1 0 0 0 0 1 }}<br>
{| class="right-all"
{{val| 0 1 0 0 0 3 }}<br>
|-
{{val| 0 0 1 0 0 -1 }}<br>
| [⟨ || 1 || 0 || 0 || 0 || 0 || 1 || ],
{{val| 0 0 0 1 0 -1 }}<br>
|-
{{val| 0 0 0 0 1 1 }}]
| ⟨ || 0 || 1 || 0 || 0 || 0 || 3 || ],
|-
| ⟨ || 0 || 0 || 1 || 0 || 0 || -1 || ],
|-
| ⟨ || 0 || 0 || 0 || 1 || 0 || -1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 1 || 1 || ]]
|}


Sval mapping generators: ~2, ~3, ~5, ~7, ~11
: sval mapping generators: ~2, ~3, ~5, ~7, ~11


[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 702.2950, ~5/4 = 386.0705, ~7/4 = 968.4704, ~11/8 = 551.8578
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 702.2950, ~5/4 = 386.0705, ~7/4 = 968.4704, ~11/8 = 551.8578


{{Val list|legend=1| 12, 14c, 19eg, 22, 27eg, 31g, 34d, 38d, 41, 46, 58, 68, 72, 118, 171, 190g, 193, 212g, 217, 239, 311, 1051dg }}
{{Optimal ET sequence|legend=1| 12, 14c, 19eg, 22, 27eg, 31g, 34d, 38d, 41, 46, 58, 68, 72, 118, 171, 190g, 193, 212g, 217, 239, 311, 1051dg }}


== Etymology ==
== Etymology ==
Line 77: Line 93:


[[Category:Dakotismic]]
[[Category:Dakotismic]]
[[Category:Commas named after composers]]
[[Category:Commas named after music theorists]]
Retrieved from "https://en.xen.wiki/w/595/594"