User:BudjarnLambeth/Ed17/5: Difference between revisions

BudjarnLambeth (talk | contribs)
Grouping these new edonoi in a single long page because I don’t want to flood new page creations with individual pages for them (this was the same reasoning behind the ed13/4 and ed15/4 pages too). I won’t make a lot of pages like this. Sometimes I just like to explore something odd and document what I find so future explorers can build from where I left off, so that’s what this is. Not anything big or systematic, just sporadic manual exploration.
 
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{{Editable user page}}
The '''equal division of 17/5''' ('''ed17/5''') is a [[tuning]] obtained by dividing the [[17/5|septendecimal major thirteenth (17/5)]] into a number of [[equal]] steps.  
The '''equal division of 17/5''' ('''ed17/5''') is a [[tuning]] obtained by dividing the [[17/5|septendecimal major thirteenth (17/5)]] into a number of [[equal]] steps.  


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== Notable ed17/5s==
== Notable ed17/5s==
=== 21ed17/5 ===
* 2.3.11.13.31 all within 15 cents
* Stretched [[12edo]]
* Much better 11.13.23.29.31 than 13edo
* Much worse 2.3.5.7.17.19 than 13edo
* The appeal of this tuning is that it has the melodic structure of 12edo but extremely [[xenharmonic]] harmonies forcing the use of 11s and 13s
{{Harmonics in equal|21|17|5|intervals=prime}}
{{Harmonics in equal|12|2|1|intervals=prime|collapsed=1}}
; Intervals
{{Interval table|21ed17/5}}


=== 22ed17/5 ===
=== 22ed17/5 ===