30edo: Difference between revisions

Overthink (talk | contribs)
Intervals: add ratios table
Music: Add Bryan Deister's ''Fantasy in 30edo'' (2026); convert 2 microtonal covers by Bryan Deister to Modern Renderings format (had to start Modern Renderings section for this)
 
(10 intermediate revisions by 4 users not shown)
Line 212: Line 212:
|}
|}


== Notation ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+ style="font-size: 105%" | Notation systems for 30edo
|+ style="font-size: 105%" | Notation systems for 30edo
Line 218: Line 219:
! Cents
! Cents
! colspan="3" | [[Ups and downs notation]]
! colspan="3" | [[Ups and downs notation]]
! [[Armodue_theory|Armodue Notation]]
! [[Armodue theory|Armodue notation]]
|-
|-
| 0
| 0
Line 438: Line 439:
|}
|}


== Notation ==
=== Stein–Zimmermann–Gould notation ===
=== Ups and downs notation ===
[[Stein–Zimmermann–Gould notation]] uses sharps and flats combined with quartertone accidentals and arrows:
30edo can be notated with ups and downs, spoken as up, dup, trup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, trud, dupflat etc.  
{{Sharpness-sharp6-szg}}
 
If double arrows are not desirable, arrows can be attached to quarter-tone accidentals:
{{Sharpness-sharp6-qt-szg}}
 
=== Kite's ups and downs notation ===
30edo can also be notated with [[Kite's ups and downs notation|Kite's ups and downs]], spoken as up, dup, trup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, trud, dupflat etc.  
{{Sharpness-sharp6a}}
{{Sharpness-sharp6a}}


Line 446: Line 453:
{{Sharpness-sharp6b}}
{{Sharpness-sharp6b}}


[[Alternative symbols for ups and downs notation#Sharp-6| Alternative ups and downs]] have sharps and flats with arrows borrowed from extended [[Helmholtz–Ellis notation]]:
=== Sagittal notation ===
{{Sharpness-sharp6}}
==== Best fifth notation ====
This notation uses the same sagittal sequence as edos [[23edo #Second-best fifth notation|23b]], [[37edo #Sagittal notation|37]], and [[44edo #Sagittal notation|44]], and is a superset of the notations for edos [[15edo #Sagittal notation|15]], [[10edo #Sagittal notation|10]], and [[5edo #Sagittal notation|5]].


If double arrows are not desirable, arrows can be attached to quarter-tone accidentals:
===== Evo and Revo flavors =====
{{Sharpness-sharp6-qt}}
 
===Sagittal notation===
====Best fifth notation====
This notation uses the same sagittal sequence as EDOs [[23edo#Second-best fifth notation|23b]], [[37edo#Sagittal notation|37]], and [[44edo#Sagittal notation|44]], and is a superset of the notations for EDOs [[15edo#Sagittal notation|15]], [[10edo#Sagittal notation|10]], and [[5edo#Sagittal notation|5]].
 
=====Evo and Revo flavors=====


<imagemap>
<imagemap>
Line 467: Line 468:
</imagemap>
</imagemap>


=====Evo-SZ flavor=====
===== Evo-SZ flavor =====


<imagemap>
<imagemap>
Line 478: Line 479:
</imagemap>
</imagemap>


====Second-best fifth notation====
==== Second-best fifth notation ====
This notation uses the same sagittal sequence as EDOs [[35edo#Sagittal notation|35]] and [[40edo#Sagittal notation|40]].
This notation uses the same sagittal sequence as edos [[35edo #Sagittal notation|35]] and [[40edo #Sagittal notation|40]].


<imagemap>
<imagemap>
Line 688: Line 689:


=== Subsets of [[mavila]][16] ===
=== Subsets of [[mavila]][16] ===
{{Idiosyncratic terms}}
{{Idiosyncratic terms|Most of these names were coined, and have so far been soley used by, [[Budjarn Lambeth]].}}
* Arcade (approximated from [[32afdo]]): 9 3 5 8 5
* Arcade (approximated from [[32afdo]]): 9 3 5 8 5
* [[Blackened skies]] (approximated from [[Compton]] in [[72edo]]): 8 5 2 3 2 8 2
* [[Blackened Skies]] (approximated from [[Compton]] in [[72edo]]): 8 5 2 3 2 8 2
* Carousel (original/default tuning): 9 4 4 9 4
* Carousel (original/default tuning): 9 4 4 9 4
* Dewdrops (original/default tuning): 4 4 4 5 4 4 5
* Dewdrops (original/default tuning): 4 4 4 5 4 4 5
* Geode (approximated from [[6afdo]]): 7 6 4 9 4
* Geode (approximated from [[6afdo]]): 7 6 4 9 4
* [[Lost spirit]] (approximated from [[Meantone]] in [[31edo]]): 7 5 2 3 5 3 5
* [[Lost Spirit]] (approximated from [[Meantone]] in [[31edo]]): 7 5 2 3 5 3 5
* Lost phantom (original/default tuning): 8 5 2 2 6 2 5
* Lost phantom (original/default tuning): 8 5 2 2 6 2 5
* Mechanical (approximated from [[16afdo]]): 7 2 8 8 5
* Mechanical (approximated from [[16afdo]]): 7 2 8 8 5
Line 715: Line 716:
=== Other notable scales ===
=== Other notable scales ===
* Approximation of [[Pelog]] lima: 3 4 10 3 10
* Approximation of [[Pelog]] lima: 3 4 10 3 10
* Approximation of Hirajoshi for metallic/percussive timbres: 5 3 9 3 10
* [[Amiot]] scale: 6 1 6 1 6 1 6
* [[Amiot]] scale: 6 1 6 1 6 1 6
* Augmented[6] (exact from [[15edo]]): 8 2 8 2 8 2
* Augmented[6] (exact from [[15edo]]): 8 2 8 2 8 2
* Dusty{{idio}} (original tuning): 8 5 5 3 7 2
* [[Equipentatonic]] (exact from [[5edo]]): 6 6 6 6 6
* [[Equipentatonic]] (exact from [[5edo]]): 6 6 6 6 6
* Iron filing{{idio}} (original tuning): 3 2 2 2 1 2 2 3 1 3 1 2 2 1 3
* [[Moon dust]] (approximated from [[JI]]): ''nonoctave''
* [[Moon dust]] (approximated from [[JI]]): ''nonoctave''
* Rockpool{{idio}} (approximated from [[47zpi]]): 2 8 2 6 6 6
* Rockpool{{idio}} (approximated from [[47zpi]]): 2 8 2 6 6 6
Line 1,385: Line 1,389:


== Music ==
== Music ==
=== Modern renderings ===
; {{W|Evanescence}}
* [https://www.youtube.com/watch?v=ppHcUOpbnbI ''Bring Me To Life''] (2003) – microtonal cover in 30edo by [[Bryan Deister]] (2024)
; {{W|Mitski}}
* [https://www.youtube.com/shorts/4MI2opBMkd4 ''Eric''] (2012) – microtonal cover in 30edo by [[Bryan Deister]] (2025)
=== 21st century ===
; [[Bryan Deister]]
; [[Bryan Deister]]
* [https://www.youtube.com/watch?v=uSpDz2Dmksw ''microtonal improvisation in 30edo''] (2023)
* [https://www.youtube.com/watch?v=uSpDz2Dmksw ''microtonal improvisation in 30edo''] (2023)
* [https://www.youtube.com/watch?v=ppHcUOpbnbI ''Bring Me To Life - Evanesence (microtonal cover in 30edo)''] (2024)
* [https://www.youtube.com/shorts/4MI2opBMkd4 ''Eric - Mitski (microtonal version in 30edo)''] (2025)
* [https://www.youtube.com/watch?v=NP3HGr3ZD70&lc=UgxFBmbxZa5dF4ZPj0F4AaABAg.AFzcn1LkVZNAG4JYIvXZvZ ''minuet in 30edo''] (2025)
* [https://www.youtube.com/watch?v=NP3HGr3ZD70&lc=UgxFBmbxZa5dF4ZPj0F4AaABAg.AFzcn1LkVZNAG4JYIvXZvZ ''minuet in 30edo''] (2025)
* [https://www.youtube.com/watch?v=pa4YMCae2tE ''waltz in 30edo''] (2025)
* [https://www.youtube.com/watch?v=pa4YMCae2tE ''waltz in 30edo''] (2025)
* [https://www.youtube.com/watch?v=2TxCWDYUvYc ''30edo improv''] (2025)
* [https://www.youtube.com/watch?v=2TxCWDYUvYc ''30edo improv''] (2025)
* [https://www.youtube.com/shorts/O6nOiLxYPdE ''<nowiki>Ferris Wheel - 30edo [short]</nowiki>''] (2026)
* ''Ferris Wheel - 30edo'' (2026)
** [https://www.youtube.com/shorts/O6nOiLxYPdE <nowiki>[short]</nowiki>] (with Lumatone view)
** [https://www.youtube.com/watch?v=gyrb2-tt_m8 <nowiki>[full version]</nowiki>]
* [https://www.youtube.com/shorts/ZlXSZDSlH2c ''Fantasy in 30edo''] (2026)


; [[Todd Harrop]]
; [[Todd Harrop]]
* [https://spectropolrecords.bandcamp.com/track/todd-harrop-fifteen-short-pieces ''Fifteen Short Pieces'']
* [https://spectropolrecords.bandcamp.com/track/todd-harrop-fifteen-short-pieces ''Fifteen Short Pieces'']
; [[Budjarn Lambeth]]
* [https://www.youtube.com/watch?v=XT2K75X79sE ''Mavila(7) improvisation''] (2026)


; [[Micronaive]]
; [[Micronaive]]