ED5: Difference between revisions
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| Line 9: | Line 9: | ||
*[[7ed5]] compare [[3edo]] | *[[7ed5]] compare [[3edo]] | ||
*[[8ed5]] | *[[8ed5]] | ||
*[[9ed5]] | *[[9ed5]] compare [[4edo]] | ||
*[[10ed5]] | *[[10ed5]] | ||
*[[11ed5]] | *[[11ed5]] | ||
| Line 19: | Line 19: | ||
*[[17ed5]] | *[[17ed5]] | ||
*[[18ed5]] | *[[18ed5]] | ||
*[[19ed5]] compare [[ | *[[19ed5]] compare [[Bohlen-Pierce]] | ||
*[[20ed5]] (Hieronymus Tuning) | *[[20ed5]] (Hieronymus Tuning) | ||
*[[21ed5]] compare [[9edo]] | *[[21ed5]] compare [[9edo]] | ||
| Line 32: | Line 32: | ||
*[[30ed5]] compare [[13edo]] | *[[30ed5]] compare [[13edo]] | ||
*[[31ed5]] | *[[31ed5]] | ||
*[[32ed5 | *[[32ed5]] | ||
*[[33ed5]] | *[[33ed5]] | ||
*[[34ed5]] | *[[34ed5]] | ||
| Line 42: | Line 42: | ||
*[[40ed5]] | *[[40ed5]] | ||
*[[41ed5]] | *[[41ed5]] | ||
*[[42ed5]] | *[[42ed5]] compare [[18edo]] | ||
*[[43ed5]] | *[[43ed5]] | ||
*[[44ed5]] compare [[19edo]] | *[[44ed5]] compare [[19edo]] | ||
| Line 49: | Line 49: | ||
*[[47ed5]] | *[[47ed5]] | ||
*[[48ed5]] | *[[48ed5]] | ||
*[[49ed5]] | *[[49ed5]] compare [[21edo]] | ||
*[[50ed5]] | *[[50ed5]] | ||
*[[51ed5]] compare [[22edo]] | *[[51ed5]] compare [[22edo]] | ||
| Line 65: | Line 65: | ||
*[[63ed5]] | *[[63ed5]] | ||
*[[64ed5]] | *[[64ed5]] | ||
*[[65ed5]] | *[[65ed5]] compare [[28edo]] | ||
*[[66ed5]] | *[[66ed5]] | ||
*[[67ed5]] | *[[67ed5]] | ||
| Line 72: | Line 72: | ||
*[[70ed5]] | *[[70ed5]] | ||
*[[71ed5]] | *[[71ed5]] | ||
*[[72ed5]] | *[[72ed5]] compare [[31edo]] | ||
*[[73ed5]] | *[[73ed5]] | ||
*[[74ed5]] | *[[74ed5]] | ||
*[[75ed5]] | *[[75ed5]] | ||
*[[76ed5]] | *[[76ed5]] compare [[52edt]] | ||
*[[77ed5]] | *[[77ed5]] | ||
*[[78ed5]] | *[[78ed5]] | ||
*[[79ed5]] | *[[79ed5]] compare [[34edo]] | ||
*[[80ed5]] | *[[80ed5]] | ||
*[[81ed5]] | *[[81ed5]] compare [[35edo]] | ||
*[[82ed5]] | *[[82ed5]] | ||
*[[83ed5]] | *[[83ed5]] | ||
*[[84ed5]] | *[[84ed5]] | ||
*[[85ed5]] | *[[85ed5]] | ||
*[[86ed5]] | *[[86ed5]] compare [[37edo]] | ||
*[[87ed5]] | *[[87ed5]] | ||
*[[88ed5]] | *[[88ed5]] compare [[38edo]] | ||
*[[89ed5]] | *[[89ed5]] | ||
*[[90ed5]] | *[[90ed5]] | ||
*[[91ed5]] | *[[91ed5]] | ||
*[[92ed5]] | *[[92ed5]] | ||
*[[93ed5]] | *[[93ed5]] compare [[40edo]] | ||
*[[94ed5]] | *[[94ed5]] | ||
*[[95ed5]] | *[[95ed5]] compare [[41edo]] | ||
*[[96ed5]] | *[[96ed5]] | ||
*[[97ed5]] | *[[97ed5]] | ||
*[[98ed5]] | *[[98ed5]] | ||
*[[99ed5]] | *[[99ed5]] | ||
*[[100ed5]] | *[[100ed5]] compare [[43edo]] | ||
==See also== | ==See also== | ||
Revision as of 06:01, 30 December 2018
Division of the Fifth Harmonic (5/1) into n equal parts
The fifth harmonic is particularly wide as far as equivalences go. 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, this fact shapes one's musical approach dramatically. Following this, the quintessential example of a pentave based tuning is hyperpyth (see 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) 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.
- 3ed5 : orwell generator (with octaves)
- 4ed5 : meantone generator (with octaves)
- 5ed5 : thuja generator (with octaves)
- 6ed5 : uncle generator (with octaves)
- 7ed5 compare 3edo
- 8ed5
- 9ed5 compare 4edo
- 10ed5
- 11ed5
- 12ed5
- 13ed5
- 14ed5 compare 6edo
- 15ed5
- 16ed5 compare 7edo
- 17ed5
- 18ed5
- 19ed5 compare 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
- 33ed5
- 34ed5
- 35ed5 compare 15edo
- 36ed5
- 37ed5 compare 16edo
- 38ed5 compare 26edt
- 39ed5
- 40ed5
- 41ed5
- 42ed5 compare 18edo
- 43ed5
- 44ed5 compare 19edo
- 45ed5
- 46ed5
- 47ed5
- 48ed5
- 49ed5 compare 21edo
- 50ed5
- 51ed5 compare 22edo
- 52ed5
- 53ed5
- 54ed5
- 55ed5
- 56ed5 compare 24edo
- 57ed5 compare 39edt
- 58ed5 compare 25edo
- 59ed5
- 60ed5
- 61ed5
- 62ed5
- 63ed5
- 64ed5
- 65ed5 compare 28edo
- 66ed5
- 67ed5
- 68ed5
- 69ed5
- 70ed5
- 71ed5
- 72ed5 compare 31edo
- 73ed5
- 74ed5
- 75ed5
- 76ed5 compare 52edt
- 77ed5
- 78ed5
- 79ed5 compare 34edo
- 80ed5
- 81ed5 compare 35edo
- 82ed5
- 83ed5
- 84ed5
- 85ed5
- 86ed5 compare 37edo
- 87ed5
- 88ed5 compare 38edo
- 89ed5
- 90ed5
- 91ed5
- 92ed5
- 93ed5 compare 40edo
- 94ed5
- 95ed5 compare 41edo
- 96ed5
- 97ed5
- 98ed5
- 99ed5
- 100ed5 compare 43edo