Gallery of omnitetrachordal scales: Difference between revisions

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Scales with 3 step sizes: changed 3-SIS to 3-SN, added 31 and 41-note scales
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== 8 notes ==
== 8 notes ==
ABCABCAB (Fokker Block)
ABCABCAB ([[Fokker block]])


2L+3M+3s - LMsMsLMs, sMLsMsML
2L+3M+3s - LMsMsLMs, sMLsMsML


== 10 tones ==
== 10 tones ==
ABACABACAB (3-SIS)
ABACABACAB (3-[[SN scale|SN]])


2L+3M+5s - sMsLsMsMsL  
2L+3M+5s - sMsLsMsMsL  
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== 11 tones ==
== 11 tones ==
ABACABACABA (3-SIS)
ABACABACABA (3-[[SN scale|SN]])


2L+3M+6s - sMsLsMssMsL  
2L+3M+6s - sMsLsMssMsL  
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== 12 tones ==
== 12 tones ==
ABABCABABCAB (Fokker Block)
ABABCABABCAB ([[Fokker block]])


5L+2M+5s - LsLsMLsLsLsM, MsLsLsLMsLsL
5L+2M+5s - LsLsMLsLsLsM, MsLsLsLMsLsL
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== 14 tones ==
== 14 tones ==
ABABACABABACAB (3-SIS)
ABABACABABACAB (3-[[SN scale|SN]])


5L+2M+7s - sLsMsLsLsLsMsL
5L+2M+7s - sLsMsLsLsLsMsL
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== 15 tones ==
== 15 tones ==
ABAACAABAACAABA (3-SIS)
ABAACAABAACAABA (3-[[SN scale|SN]])


2L+3M+10s - sMssLssMssMssLs
2L+3M+10s - sMssLssMssMssLs
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== 17 tones ==
== 17 tones ==
ABAABACABAABACABA (3-SIS)
ABAABACABAABACABA (3-[[SN scale|SN]])


2L+5M+10s - sMsLsMssMssMsLsMs
2L+5M+10s - sMsLsMssMssMsLsMs
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10L+2M+5s -  
10L+2M+5s -  


ABACABCABACABCABC (Fokker Block)
ABACABCABACABCABC ([[Fokker block]])


5L+7M+5s - MLMsMLsMLsMLMsMLs, sLMsMLMsLMsLMsMLM
5L+7M+5s - MLMsMLsMLsMLMsMLs, sLMsMLMsLMsLMsMLM
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7L+5M+5s - LMLsLMsLMsLMLsLMs, sMLsLMLsMLsMLsLML
7L+5M+5s - LMLsLMsLMsLMLsLMs, sMLsLMLsMLsMLsLML


ABCABCAABCABCAABC (Fokker block)
ABCABCAABCABCAABC ([[Fokker block]])


5L+7M+5s
5L+7M+5s
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== 19 tones ==
== 19 tones ==
ABCBAABAABCBAABAABA (3-SIS)  
ABCBAABAABCBAABAABA (3-[[SN scale|SN]])  


ABA=9/8  
ABA=9/8  
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ABCBA=32/27, BC=256/243  
ABCBA=32/27, BC=256/243  


ABCABCABABCABCABCAB (Fokker Block)  
ABCABCABABCABCABCAB ([[Fokker block]])  


== 20 tones ==
== 20 tones ==
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== 24 tones ==
== 24 tones ==
ACABABACABACABABACABACAB (3-SIS)
ACABABACABACABABACABACAB (3-[[SN scale|SN]])


MET-24 has this structure
MET-24 has this structure as 5L+12M+7s: MLMsMsMLMsMLMsMsMLMsMLMs
 
== 31 tones ==
BABBCBBABABBABABBCBBABABBABABBA (3-[[SN scale|SN]])
 
== 41 tones ==
BABCBABBABBABCBABBABCBABBABBABCBABBABCBAB (3-[[SN scale|SN]])


=Definitions and formulas=
=Definitions and formulas=