Tetracot: Difference between revisions

7-limit extensions moved to tetracot extensions page
Formatting and adopt CTE tuning
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== Interval chain ==
== Interval chain ==
Tetracot is considered as a [[cluster temperament]] with seven clusters of notes in an octave. The chroma interval between adjacent notes in each cluster represents 40/39 ~ 45/44 ~ 55/54 ~ 65/64 ~ 66/65 ~ 81/80 ~ 121/120 all tempered together. In the following table, prime harmonics are in '''bold'''.  
Tetracot is considered as a [[cluster temperament]] with seven clusters of notes in an octave. The chroma interval between adjacent notes in each cluster represents 40/39 ~ 45/44 ~ 55/54 ~ 65/64 ~ 66/65 ~ 81/80 ~ 121/120 all tempered together. In the following table, odd harmonics and subharmonics 1–15 are in '''bold'''.  


{| class="wikitable right-1 right-2"
{| class="wikitable right-1 right-2"
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|-
|-
| 1
| 1
| 176.20
| 176.3
| 11/10, 10/9
| 11/10, 10/9
|-
|-
| 2
| 2
| 352.39
| 352.7
| 11/9, '''16/13'''
| 11/9, '''16/13'''
|-
|-
| 3
| 3
| 528.59
| 529.0
| 15/11
| 15/11
|-
|-
| 4
| 4
| 704.79
| 705.3
| '''3/2'''
| '''3/2'''
|-
|-
| 5
| 5
| 880.98
| 881.7
| 5/3
| 5/3
|-
|-
| 6
| 6
| 1057.18
| 1058.0
| 11/6, 24/13
| 11/6, 24/13
|-
|-
| 7
| 7
| 33.38
| 34.4
| 55/54, 45/44, 40/39
| 55/54, 45/44, 40/39
|-
|-
| 8
| 8
| 209.57
| 210.7
| 9/8
| '''9/8'''
|-
|-
| 9
| 9
| 385.77
| 387.0
| '''5/4'''
| '''5/4'''
|-
|-
| 10
| 10
| 561.96
| 563.4
| '''11/8''', 18/13
| '''11/8''', 18/13
|-
|-
| 11
| 11
| 738.16
| 739.7
| 20/13
| 20/13
|-
|-
| 12
| 12
| 914.36
| 916.0
| 22/13
| 22/13
|-
|-
| 13
| 13
| 1090.55
| 1092.4
| 15/8
| '''15/8'''
|-
|-
| 14
| 14
| 66.75
| 68.7
| 33/32, 27/26, 25/24
| 33/32, 27/26, 25/24
|-
|-
| 15
| 15
| 242.95
| 245.0
| 15/13
| 15/13
|}
|}
: <nowiki>*</nowiki> in 2.3.5.11.13 POTE tuning
: <nowiki>*</nowiki> in 2.3.5.11.13 subgroup CTE tuning


== Scales ==
== Scales ==
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== Music ==
== Music ==
; [[Flora Canou]]
; [[Flora Canou]]
* [https://soundcloud.com/floracanou/october-dieting-plan?in=floracanou/sets/totmc-suite-vol-1 "October Dieting Plan"] from [https://soundcloud.com/floracanou/sets/totmc-suite-vol-1 ''TOTMC Suite Vol. 1''] (2023) – modus in 34edo tuning
* [https://soundcloud.com/floracanou/october-dieting-plan?in=floracanou/sets/totmc-suite-vol-1 "October Dieting Plan"] from [https://soundcloud.com/floracanou/sets/totmc-suite-vol-1 ''TOTMC Suite Vol. 1''] (2023) – [[modus]] in 34edo tuning


; [[Zhea Erose]]
; [[Zhea Erose]]
* [https://www.youtube.com/watch?v=xYZwye9PWSo ''Modal Studies in Tetracot''] (2021) – in 34edo
* [https://www.youtube.com/watch?v=xYZwye9PWSo ''Modal Studies in Tetracot''] (2021) – in 34edo tuning


; [[Xotla]]
; [[Xotla]]
* "Electrostat" from ''Lesser Groove'' (2020) – [https://open.spotify.com/track/5LIPr8n6uQySeLUfM11U2W Spotify] | [https://xotla.bandcamp.com/track/electrostat-tetracot-13 Bandcamp] | [https://www.youtube.com/watch?v=5SAuoyDwpgc YouTube] – ambient electro, tetracot[13] in 34edo
* "Electrostat" from ''Lesser Groove'' (2020) – [https://open.spotify.com/track/5LIPr8n6uQySeLUfM11U2W Spotify] | [https://xotla.bandcamp.com/track/electrostat-tetracot-13 Bandcamp] | [https://www.youtube.com/watch?v=5SAuoyDwpgc YouTube] – ambient electro, tetracot[13] in 34edo tuning


[[Category:Temperaments]]
[[Category:Temperaments]]
[[Category:Tetracot| ]] <!-- main article -->
[[Category:Tetracot| ]] <!-- main article -->
[[Category:Tetracot family]]
[[Category:Tetracot family]]