User:Moremajorthanmajor/8L 3s (perfect twelfth-equivalent): Difference between revisions
Created page with " ==Relationship to the Obikhod== The '''Obikhod''' (Обиход церковного пения) is a collection of polyphonic Russian Orthodox liturgical chants forming a ma..." |
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The tempered generalized Livenka accordion is used in this article to refer to tunings of the pitch set. | The tempered generalized Livenka accordion is used in this article to refer to tunings of the pitch set. | ||
The [[TAMNAMS]] system is used in this article to refer to | The [[TAMNAMS]] system is used in this article to refer to 8L 3s (perfect twelfth equivalent)} step size ratios and step ratio ranges. | ||
The notation used in this article is GHJKLABCDEFG = LLsLLLsLLLs (Ionian #11), #/f = up/down by chroma (mnemonic f = F molle in Latin). | The notation used in this article is GHJKLABCDEFG = LLsLLLsLLLs (Ionian #11), #/f = up/down by chroma (mnemonic f = F molle in Latin). | ||
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'''G''' Hf G# '''H''' Jf H# '''J''' J#/Kf '''K''' K# Lf '''L''' L# Af '''A''' A# ''Bf'' '''B''' B#/Cf '''C''' C# Df '''D''' D# Ef '''E''' E# ''Ff'' '''F''' F#/Gf | '''G''' Hf G# '''H''' Jf H# '''J''' J#/Kf '''K''' K# Lf '''L''' L# Af '''A''' A# ''Bf'' '''B''' B#/Cf '''C''' C# Df '''D''' D# Ef '''E''' E# ''Ff'' '''F''' F#/Gf | ||
==Intervals== | ==Intervals== | ||
The table of Obikhodic intervals below takes the fifth as the generator. Given the size of the fifth generator ''g'', any Obikhodic interval can easily be found by noting what multiple of ''g'' it is, and multiplying the size by the number ''k'' of generators it takes to reach the interval and reducing mod 1900<ref>For relative cents</ref> if necessary (so you can use "''k''*''g'' % 1900" for search engines, for plugged-in values of ''k'' and ''g''). For example, since the major 3rd is reached by six fifth generators, [[27edt]]'s major 3rd is 6*703.7 mod 1900 = 4222.22 mod 1900 = 422.22r¢. | The table of Obikhodic intervals below takes the fifth as the generator. Given the size of the fifth generator ''g'', any Obikhodic interval can easily be found by noting what multiple of ''g'' it is, and multiplying the size by the number ''k'' of generators it takes to reach the interval and reducing mod 1900<ref>For relative cents</ref> if necessary (so you can use "''k''*''g'' % 1900" for search engines, for plugged-in values of ''k'' and ''g''). For example, since the major 3rd is reached by six fifth generators, [[27edt]]'s major 3rd is 6*703.7 mod 1900 = 4222.22 mod 1900 = 422.22r¢. | ||