Carlos Beta: Difference between revisions
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== Music == | == Music == | ||
{{Catrel|Carlos Beta tracks}} | {{Catrel| Carlos Beta tracks }} | ||
; [[Bryan Deister]] | ; [[Bryan Deister]] | ||
* [https://www.youtube.com/watch?v=8qydnXzkbgg Come] | * [https://www.youtube.com/watch?v=8qydnXzkbgg ''Come''] (2022) – Carlos Beta version | ||
; [[Omega9]] | ; [[Omega9]] | ||
* [https://www.youtube.com/watch?v=qnIKaWhjZj0 cærulea] | * [https://www.youtube.com/watch?v=qnIKaWhjZj0 ''cærulea'']{{dead link}} | ||
* [https:// | * ''Way Without Time OST'' – [https://web.archive.org/web/20201127014140/http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Way%20Without%20Time%20OST.mp3 play] | [https://soundcloud.com/omega9/way-without-time-ost SoundCloud]{{dead link}} | ||
* ''Tionmifarosalmimemkelkfoje'' (2012) – [https://web.archive.org/web/20201127015039/http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Omega9%20-%20Tionmifarosalmimemkelkfoje.mp3 play] | [https://www.youtube.com/watch?v=eWgb-ZbgvJI YouTube] | |||
* ''Cordas'' (2012) – [https://web.archive.org/web/20201127015302/http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Omega9%20-%20Cordas%20(Carlos%20Beta).mp3 play] | [https://omega9.bandcamp.com/track/cordas-carlos-beta Bandcamp] | [https://www.youtube.com/watch?v=-fwA6egaqc4 YouTube] – Carlos Beta version | |||
; [[Carlo Serafini]] | ; [[Carlo Serafini]] | ||
* [http://www.seraph.it/dep/det/DawnOfBeta.mp3 | * ''The Dawn Of Beta'' (2011) – [http://www.seraph.it/dep/det/DawnOfBeta.mp3 play] | [http://www.seraph.it/blog_files/ca97598d4d95438f8cf18862e7f13222-87.html blog] | ||
* [http://www.seraph.it/dep/det/LonelyBetaWoman.mp3 | * ''Lonely Beta Woman'' (2011) – [http://www.seraph.it/dep/det/LonelyBetaWoman.mp3 play] | [http://www.seraph.it/blog_files/0915d7768cbd1948d46bd63e9060ef12-88.html blog] | ||
* [http://www.seraph.it/dep/det/OverTheBetaRainbow.mp3 | * ''Over The Beta Rainbow'' (2011) – [http://www.seraph.it/dep/det/OverTheBetaRainbow.mp3 play] | [http://www.seraph.it/blog_files/c498a163495a549dbc2711691061db11-92.html blog] | ||
* [http://www.seraph.it/dep/det/Tribalism2.mp3 | * ''Tribalism #2'' (2011) – [http://www.seraph.it/dep/det/Tribalism2.mp3 play] | [http://www.seraph.it/blog_files/e516a6726f78b7c6232b0869222507ff-95.html blog] | ||
* | * ''Beta Easter(n)'' (2011) – [http://www.seraph.it/blog_files/9d774615381a06e228b7de11a9394562-97.html blog] | [https://youtu.be/6yBY2AvsUOA3 YouTube] | ||
* [http://www.seraph.it/dep/det/tiBETAnDreams.mp3 | * ''tiBETAn Dreams'' (2011) – [http://www.seraph.it/dep/det/tiBETAnDreams.mp3 play] | [http://www.seraph.it/blog_files/7f1eb6f7799c4f90d796396cbade30ce-98.html blog #1][http://www.seraph.it/blog_files/9029519d60cf978db21549a608ef4ea3-99.html blog #2] | ||
* [http://www.seraph.it/dep/det/Angela.mp3 | * ''Angela B.'' (2011) – [http://www.seraph.it/dep/det/Angela.mp3 play] | [http://www.seraph.it/blog_files/2edec68ea23551591ff1c0d897e1f8fa-101.html blog] | ||
* | * ''UGDoLA'' (2011) – [http://www.seraph.it/blog_files/6d6dcd64d5d817366c5608edfbed16b6-102.html blog] | [https://www.youtube.com/watch?v=mghWWIUjh9o YouTube] | ||
* ''Austrian Fantasy'' (2011) – [http://www.seraph.it/blog_files/49d276aa03bebbf3a0c831f0bc3bdea5-107.html blog] | [https://youtu.be/v4F38G4XKLc YouTube] | |||
== See also == | == See also == | ||
Revision as of 12:45, 9 November 2023
Carlos Beta is a non-octave equal temperament invented by Wendy Carlos, with step size about 63.833 ¢, or almost exactly every fifth step of 94edo. In this temperament, the interval of 11 steps approximates 3/2, that of 6 steps approximates 5/4, and that of 5 steps approximates 6/5.
Theory
Carlos provided the tuning of 63.8 ¢[1][2]. Based on her work, Dave Benson optimized the temperament for 3/2, 5/4, and 6/5, such that the tuning divides the octave in
[math]\displaystyle{ \displaystyle \frac{11^2 + 6^2 + 5^2}{11\log_2(3/2) + 6\log_2(5/4) + 5\log_2(6/5)} ≃ 18.799074 }[/math]
equal steps and the fifth in 10.996753 equal steps of 63.832933 ¢ each[3]. It is thus very close to the equal division of the just perfect fifth into eleven parts of 63.8141 ¢ each (11ed3/2), corresponding to 18.8046edo.
Carlos Beta is related to the sycamore family of temperaments – betic and 5-limit sycamore in particular.
Lookalikes: 19edo, 11edf, 30edt, every 5th step of 94edo, every 4th step of 75edo
Intervals
| Degrees | Cents ~ Cents octave reduced | Approximate JI interval ~ octave reduced |
|---|---|---|
| 0 | 0 | |
| 1 | 64 | |
| 2 | 128 | |
| 3 | 191 | |
| 4 | 255 | |
| 5 | 319 | 6/5 |
| 6 | 383 | 5/4 |
| 7 | 447 | |
| 8 | 510.5 | |
| 9 | 574 | |
| 10 | 638 | |
| 11 | 702 | 3/2 (exact) |
| 12 | 766 | |
| 13 | 830 | 13/8-ish |
| 14 | 893 | |
| 15 | 957 | |
| 16 | 1021 | |
| 17 | 1085 | 15/8 |
| 18 | 1149 | |
| 19 | 1211.5 ~ 11.5 | 2/1-ish |
| 20 | 1276 ~ 76 | |
| 21 | 1340 ~ 140 | |
| 22 | 1404 ~ 204 | 9/4~9/8 (exact) |
| 23 | 1468 ~ 268 | better 7/6 |
| 24 | 1532 ~ 332 | |
| 25 | 1595 ~ 395 | |
| 26 | 1659 ~ 459 | |
| 27 | 1723 ~ 523 | |
| 28 | 1787 ~ 587 | |
| 29 | 1851 ~ 651 | |
| 30 | 1914 ~ 714 | |
| 31 | 1978 ~ 778 | |
| 32 | 2042 ~ 842 | 13/4 ~ 13/8 (better) |
| 33 | 2106 ~ 906 | |
| 34 | 2170 ~ 970 | |
| 35 | 2233 ~ 1033 | |
| 36 | 2297 ~ 1097 |
Music
- See also: Category:Carlos Beta tracks
- Come (2022) – Carlos Beta version
- cærulea[dead link]
- Way Without Time OST – play | SoundCloud[dead link]
- Tionmifarosalmimemkelkfoje (2012) – play | YouTube
- Cordas (2012) – play | Bandcamp | YouTube – Carlos Beta version
- The Dawn Of Beta (2011) – play | blog
- Lonely Beta Woman (2011) – play | blog
- Over The Beta Rainbow (2011) – play | blog
- Tribalism #2 (2011) – play | blog
- Beta Easter(n) (2011) – blog | YouTube
- tiBETAn Dreams (2011) – play | blog #1blog #2
- Angela B. (2011) – play | blog
- UGDoLA (2011) – blog | YouTube
- Austrian Fantasy (2011) – blog | YouTube
See also
- Mason Green's New Common Practice Notation
- Carlos Alpha
- Carlos Gamma
- Carlos Harmonic
- Carlos Super Just