User:Aura/Aura's Ideas on Functional Harmony (Part 1): Difference between revisions
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There are five basic types of Mediant, although only three of them are distinct in [[24edo]]- you'd need to go to [[41edo]] or [[53edo]] to see all five. | There are five basic types of Mediant, although only three of them are distinct in [[24edo]]- you'd need to go to [[41edo]] or [[53edo]] to see all five. | ||
Proximomediant - This type of Mediant is mapped to 2\7 and 6\24 and is so named due to being located on the end of the Mediant range closest to the Tonic. Conspicuously, it is one of the possible the types of Mediant seen in Minor keys and is only distinct from the Mesoproximomediant in finer tuning systems where it is usually more dissonant. One type of Proximomediant is the "'''Triserviant'''", which is the function specifically of [[32/27]]. | '''Proximomediant''' - This type of Mediant is mapped to 2\7 and 6\24 and is so named due to being located on the end of the Mediant range closest to the Tonic. Conspicuously, it is one of the possible the types of Mediant seen in Minor keys and is only distinct from the Mesoproximomediant in finer tuning systems where it is usually more dissonant. One type of Proximomediant is the "'''Triserviant'''", which is the function specifically of [[32/27]]. | ||
Mesoproximomediant - This type of Mediant is mapped to both 2\7 and 6\24 and is so named due to being located between the proximal end of the Mediant range and the midline between the Tonic and the Dominant. Conspicuously, it is one of the possible the types of Mediant seen in Minor keys and is only distinct from the Proximomediant in finer tuning systems where it is usually more consonant. A primary example of an interval with this type of function is the interval [[6/5]]. | '''Mesoproximomediant''' - This type of Mediant is mapped to both 2\7 and 6\24 and is so named due to being located between the proximal end of the Mediant range and the midline between the Tonic and the Dominant. Conspicuously, it is one of the possible the types of Mediant seen in Minor keys and is only distinct from the Proximomediant in finer tuning systems where it is usually more consonant. A primary example of an interval with this type of function is the interval [[6/5]]. | ||
Mesomediant - This type of Mediant is mapped to both 2\7 and 7\24 and is so named due to being located along the midline between the Tonic and the Dominant. This type of Mediant is arguably the most dissonant, and is not a traditional diatonic function at all, and in fact, it doesn't serve well at phrase endings- rather, its Tonic Parallel function is only appropriate during the middle of musical phrases. Intervals with this type of function include [[11/9]] and [[27/22]]. | '''Mesomediant''' - This type of Mediant is mapped to both 2\7 and 7\24 and is so named due to being located along the midline between the Tonic and the Dominant. This type of Mediant is arguably the most dissonant, and is not a traditional diatonic function at all, and in fact, it doesn't serve well at phrase endings- rather, its Tonic Parallel function is only appropriate during the middle of musical phrases. Intervals with this type of function include [[11/9]] and [[27/22]]. | ||
Mesodistomediant - This type of Mediant is mapped to both 2\7 and 8\24 and is so named due to being located between the distal end of the Mediant range and the midline between the Tonic and the Dominant. Conspicuously, it is one of the possible the types of Mediant seen in Major keys and is only distinct from the Distomediant in finer tuning systems where it is usually more consonant. A primary example of an interval with this type of function is the interval [[5/4]]. | '''Mesodistomediant''' - This type of Mediant is mapped to both 2\7 and 8\24 and is so named due to being located between the distal end of the Mediant range and the midline between the Tonic and the Dominant. Conspicuously, it is one of the possible the types of Mediant seen in Major keys and is only distinct from the Distomediant in finer tuning systems where it is usually more consonant. A primary example of an interval with this type of function is the interval [[5/4]]. | ||
Distomediant - This type of Mediant is mapped to both 2\7 and 8\24 and is so named due to being located on the end of the Mediant range furthest from the Tonic. Conspicuously, it is one of the possible the types of Mediant seen in Major keys and is only distinct from the Mesodistomediant in finer tuning systems where it is usually more dissonant. One type of Distomediant is the "'''Quadridominant'''", which is the function specifically of [[81/64]]. | '''Distomediant''' - This type of Mediant is mapped to both 2\7 and 8\24 and is so named due to being located on the end of the Mediant range furthest from the Tonic. Conspicuously, it is one of the possible the types of Mediant seen in Major keys and is only distinct from the Mesodistomediant in finer tuning systems where it is usually more dissonant. One type of Distomediant is the "'''Quadridominant'''", which is the function specifically of [[81/64]]. | ||
== Contramediant Subtypes == | == Contramediant Subtypes == | ||
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There are five basic types of Contraediant, although only three of them are distinct in [[24edo]]- you'd need to go to [[41edo]] or [[53edo]] to see all five. | There are five basic types of Contraediant, although only three of them are distinct in [[24edo]]- you'd need to go to [[41edo]] or [[53edo]] to see all five. | ||
Proximocontramediant - This type of Contramediant is mapped to 5\7 and 18\24 and is so named due to being located on the end of the Contramediant range closest to the Tonic. Conspicuously, it is one of the possible the types of Contraediant seen in Major keys and is only distinct from the Mesoproximocontramediant in finer tuning systems where it is usually more dissonant. One type of Proximocontramediant is the "'''Tridominant'''", which is the function specifically of [[27/16]]. | '''Proximocontramediant''' - This type of Contramediant is mapped to 5\7 and 18\24 and is so named due to being located on the end of the Contramediant range closest to the Tonic. Conspicuously, it is one of the possible the types of Contraediant seen in Major keys and is only distinct from the Mesoproximocontramediant in finer tuning systems where it is usually more dissonant. One type of Proximocontramediant is the "'''Tridominant'''", which is the function specifically of [[27/16]]. | ||
Mesoproximocontramediant - This type of Contramediant is mapped to both 5\7 and 18\24 and is so named due to being located between the proximal end of the Mediant range and the midline between the Tonic and the Serviant. Conspicuously, it is one of the possible the types of Contramediant seen in Major keys and is only distinct from the Proximocontramediant in finer tuning systems where it is usually more consonant. A primary example of an interval with this type of function is the interval [[5/3]]. | '''Mesoproximocontramediant''' - This type of Contramediant is mapped to both 5\7 and 18\24 and is so named due to being located between the proximal end of the Mediant range and the midline between the Tonic and the Serviant. Conspicuously, it is one of the possible the types of Contramediant seen in Major keys and is only distinct from the Proximocontramediant in finer tuning systems where it is usually more consonant. A primary example of an interval with this type of function is the interval [[5/3]]. | ||
Mesocontramediant - This type of Contramediant is mapped to both 5\7 and 17\24 and is so named due to being located along the midline between the Tonic and the Serviant. This type of Contramediant is arguably the most dissonant, and is not a traditional diatonic function at all, and in fact, it doesn't serve well at phrase endings- rather, its Tonic Parallel function is only appropriate during the middle of musical phrases. Intervals with this type of function include [[18/11]] and [[44/27]]. | '''Mesocontramediant''' - This type of Contramediant is mapped to both 5\7 and 17\24 and is so named due to being located along the midline between the Tonic and the Serviant. This type of Contramediant is arguably the most dissonant, and is not a traditional diatonic function at all, and in fact, it doesn't serve well at phrase endings- rather, its Tonic Parallel function is only appropriate during the middle of musical phrases. Intervals with this type of function include [[18/11]] and [[44/27]]. | ||
Mesodistocontramediant - This type of Contramediant is mapped to both 5\7 and 16\24 and is so named due to being located between the distal end of the Contramediant range and the midline between the Tonic and the Serviant. Conspicuously, it is one of the possible the types of Contramediant seen in Minor keys and is only distinct from the Distocontramediant in finer tuning systems where it is usually more consonant. A primary example of an interval with this type of function is the interval [[8/5]]. | '''Mesodistocontramediant''' - This type of Contramediant is mapped to both 5\7 and 16\24 and is so named due to being located between the distal end of the Contramediant range and the midline between the Tonic and the Serviant. Conspicuously, it is one of the possible the types of Contramediant seen in Minor keys and is only distinct from the Distocontramediant in finer tuning systems where it is usually more consonant. A primary example of an interval with this type of function is the interval [[8/5]]. | ||
Distocontramediant - This type of Contramediant is mapped to both 5\7 and 16\24 and is so named due to being located on the end of the Contramediant range furthest from the Tonic. Conspicuously, it is one of the possible the types of Contramediant seen in Minor keys and is only distinct from the Mesodistocontramediant in finer tuning systems where it is usually more dissonant. One type of Distomediant is the "'''Quadriserviant'''", which is the function specifically of [[128/81]]. | '''Distocontramediant''' - This type of Contramediant is mapped to both 5\7 and 16\24 and is so named due to being located on the end of the Contramediant range furthest from the Tonic. Conspicuously, it is one of the possible the types of Contramediant seen in Minor keys and is only distinct from the Mesodistocontramediant in finer tuning systems where it is usually more dissonant. One type of Distomediant is the "'''Quadriserviant'''", which is the function specifically of [[128/81]]. | ||
== Antitonic Subtypes == | == Antitonic Subtypes == | ||