ED5: Difference between revisions

The fifth harmonic is particularly wide as far as equivalences go.<span style=""> There are (at absolute most) ~4.8 pentaves within the human hearing range; imagine if that were the case with octaves. If one does indeed deal with pentave equivalence, </span>this fact shapes one's musical approach dramatically. Following this, the quintessential example of a pentave based tuning is hyperpyth (see [[17ed5|17ed5]]). However, perhaps the more common reason to use these scales is in approximation with lower harmonic factors than 5. This approach is highlighted by Hieronymus ([[20ed5|20ed5]]) which itself is a zeta peak tuning (not "no-fives", full on zeta). Other reasons for taking the nth root of 5 include finding temperaments like orwell, meantone, and thuja. This approach can of course be used indiscriminately.

[[2ed5]]

 

3ed5 [[Orwell|orwell]] generator (with octaves)

 

4ed5 [[Meantone|meantone]] generator (with octaves)

 

[[5ed5]] [[2L_7s|thuja]] generator (with octaves)

 

6ed5 [[Trienstonic_clan#Uncle|uncle]] generator (with octaves)

 

[[7ed5]] compare [[3edo]]

 

[[8ed5]]

 

[[9ed5]]

 

[[10ed5]]

 

[[11ed5]]

 

[[12ed5]]

 

[[13ed5]]

 

14ed5 compare [[6edo]]

 

[[15ed5]]

 

16ed5 compare [[7edo]]

 

[[17ed5]]

 

[[18ed5]]

 

[[19ed5]] compare [[Bohlen-Pierce|Bohlen-Pierce]]

 

[[20ed5]] (Hieronymus Tuning)

 

21ed5 compare [[9edo]]

 

[[22ed5]]

 

23ed5 compare [[10edo]]

 

[[24ed5]]

 

[[25ed5]] (Stockhausen, McLaren)

 

[[26ed5]]

 

[[27ed5]]

 

[[28ed5]] compare [[12edo]]

 

[[29ed5]]

 

30ed5 compare [[13edo]]

 

[[31ed5]]

 

[[32ed5]] compare [[14edo]]

 

[[33ed5]]

 

[[34ed5]]

 

[[35ed5]] compare [[15edo]]

 

[[36ed5]]

 

37ed5 compare [[16edo]]

 

38ed5 compare [[26edt]]

 

[[39ed5]]

 

[[40ed5]]

 

[[41ed5]]

 

[[42ed5]]

 

[[43ed5]]

 

[[44ed5]] compare [[19edo]]

 

[[45ed5]]

 

[[46ed5]]

 

[[47ed5]]

 

[[48ed5]]

 

[[49ed5]]

 

[[50ed5]]

 

[[51ed5]] compare [[22edo]]

 

[[52ed5]]

 

[[53ed5]]

 

[[54ed5]]

 

[[55ed5]]

 

56ed5 compare [[24edo]]

 

[[57ed5]] compare [[39edt]]

 

[[58ed5]] compare [[25edo]]

 

[[59ed5]]

 

[[60ed5]]