49edo: Difference between revisions
→21st century: Add Bryan Deister's ''Prelude in 49edo [short clip]'' (2026) |
m Text replacement - "[[The Riemann zeta function and tuning|" to "[[Riemann zeta function|" |
||
| (3 intermediate revisions by one other user not shown) | |||
| Line 71: | Line 71: | ||
| 10 | | 10 | ||
| 244.898 | | 244.898 | ||
| 125/108, 144/125 | | [[125/108]], [[144/125]] | ||
| {{UDnote|step=10}} | | {{UDnote|step=10}} | ||
|- | |- | ||
| Line 116: | Line 116: | ||
| 19 | | 19 | ||
| 465.306 | | 465.306 | ||
| 125/96, ''162/125'' | | [[72/55]], [[125/96]], ''[[162/125]]'' | ||
| {{UDnote|step=19}} | | {{UDnote|step=19}} | ||
|- | |- | ||
| Line 171: | Line 171: | ||
| 30 | | 30 | ||
| 734.694 | | 734.694 | ||
| ''125/81'', 192/125 | | ''[[55/36]], [[125/81]]'', [[192/125]] | ||
| {{UDnote|step=30}} | | {{UDnote|step=30}} | ||
|- | |- | ||
| Line 216: | Line 216: | ||
| 39 | | 39 | ||
| 955.102 | | 955.102 | ||
| 125/72, 216/125 | | [[125/72]], [[216/125]] | ||
| {{UDnote|step=39}} | | {{UDnote|step=39}} | ||
|- | |- | ||
| Line 312: | Line 312: | ||
=== Zeta peaks === | === Zeta peaks === | ||
The strongest [[ | The strongest [[Riemann zeta function|local zeta peak]] around 49edo is its second closest, 49.141 edo. One step is 24.419 cents, and two steps, 48.839 cents, is a good generator for [[Triple BP]]. | ||
== Approximation to irrational intervals == | == Approximation to irrational intervals == | ||
| Line 459: | Line 459: | ||
| 19\49 | | 19\49 | ||
| 465.3 | | 465.3 | ||
| 55 | | 72/55 | ||
| [[Semisept]] | | [[Semisept]] | ||
|- | |- | ||
| Line 547: | Line 547: | ||
* [https://www.youtube.com/shorts/BcBtD3nuEQs ''49edo groove''] (2026) | * [https://www.youtube.com/shorts/BcBtD3nuEQs ''49edo groove''] (2026) | ||
* [https://www.youtube.com/shorts/VmUIxWb8NCY ''49edo prelude''] (2026) | * [https://www.youtube.com/shorts/VmUIxWb8NCY ''49edo prelude''] (2026) | ||
* [https://www.youtube.com/watch?v=aNswQ1-1nlM&list=WL&index=275 | * ''Prelude in 49edo'' (2026) | ||
** [https://www.youtube.com/watch?v=aNswQ1-1nlM&list=WL&index=275 <nowiki>[short clip]</nowiki>] (2026) (Lumatone view) | |||
** [https://www.youtube.com/watch?v=j1FEWPvHlGo <nowiki>[full version]</nowiki>] (2026) | |||
; [[Mercury Amalgam]] | ; [[Mercury Amalgam]] | ||