Metallic harmony: Difference between revisions

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'''Metallic harmony''' is an approach of building harmony based on sevenths rather than thirds to produce consonant, resolved, ~~sororities~~. Specifically, ~~Metallic~~ harmony treats [[7/4]] as the most consonant interval next to the octave. As a result, tunings that do not approximate 7/4 decently do not support metallic harmony. In addition, there must be an additional size of seventh/sixth that "clicks" with the 7/4. ~~Intervals such as~~ [[13/7]], [[12/7]] and [[19/11]] are notable possibilities. These ~~sevenths~~ chords have a characteristic metallic somewhat cold quality which earns them their name~~, metallic~~.

'''Metallic harmony''' is an approach of building harmony based on sevenths rather than thirds to produce consonant, resolved, sonorities. Specifically, metallic harmony treats [[7/4]] as the most consonant interval next to the octave. As a result, tunings that do not approximate 7/4 decently do not support metallic harmony. In addition, there must be an additional size of seventh/sixth that "clicks" with the 7/4 to form a triad. For example, [[13/7]] can be used as the upper interval, creating a 4:7:13 chord in [[just intonation]]. Other intervals such as [[12/7]] and [[19/11]] are notable possibilities. These seventh chords have a characteristic metallic and somewhat cold quality which earns them their name.

~~== Basic Chord Types ==~~

== Basic chord types ==

There are symmetrical and asymmetrical chords in metallic harmony. Asymmetric chords have a more rooted sound while symmetrical chords sound more ambiguous.

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== EDOs that support metallic harmony ==

Some notable [[edo]]s for metallic harmony include {{EDOs|5, 10, 15, 26, 31, and 36}} and for more complex harmony [[21edo]] (or supersets of it like [[63edo]]) can be tried. [[10edo]] contains a 7 note MOS ([[3L 4s]]) that contains 3 hard and 3 soft metallic triads in addition to one symmetrical triad. In addition Metallic harmony can also be used to harmonize Mavila in [[16edo]]. However Mavila 7 only contains two hard and soft triads on degrees 1 4 and 2 6. Mavila 9 adds two more soft triads but there are still only two hard triads. Therefore, metallic harmony in 16 EDO doesn't work nearly as well in it would in 10 or [[20edo]].

Some notable [[edo]]s for metallic harmony include {{EDOs|5, 10, 15, 26, 31 and 36}} and for more complex harmony [[21edo]] (or supersets of it like [[63edo]]) can be tried. [[10edo]] contains a 7 note MOS ([[3L 4s]]) that contains 3 hard and 3 soft metallic triads in addition to one symmetrical triad. In addition Metallic harmony can also be used to harmonize Mavila in [[~~16 EDO~~]]. However Mavila 7 only contains two hard and soft triads on degrees 1 4 and 2 6. Mavila 9 adds two more soft triads but there are still only two hard triads. Therefore, metallic harmony in 16 EDO doesn't work nearly as well in it would in 10 or [[~~20 EDO~~]].

[[Category:7-limit]]

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 {{Distinguish|Metallic harmonic series}}
-'''Metallic harmony''' is an approach of building harmony based on sevenths rather than thirds to produce consonant, resolved, sororities. Specifically, Metallic harmony treats [[7/4]] as the most consonant interval next to the octave. As a result, tunings that do not approximate 7/4 decently do not support metallic harmony. In addition, there must be an additional size of seventh/sixth that "clicks" with the 7/4. Intervals such as [[13/7]], [[12/7]] and [[19/11]] are notable possibilities. These sevenths chords have a characteristic metallic somewhat cold quality which earns them their name, metallic.
+'''Metallic harmony''' is an approach of building harmony based on sevenths rather than thirds to produce consonant, resolved, sonorities. Specifically, metallic harmony treats [[7/4]] as the most consonant interval next to the octave. As a result, tunings that do not approximate 7/4 decently do not support metallic harmony. In addition, there must be an additional size of seventh/sixth that "clicks" with the 7/4 to form a triad. For example, [[13/7]] can be used as the upper interval, creating a 4:7:13 chord in [[just intonation]]. Other intervals such as [[12/7]] and [[19/11]] are notable possibilities. These seventh chords have a characteristic metallic and somewhat cold quality which earns them their name.
-== Basic Chord Types ==
+== Basic chord types ==
 There are symmetrical and asymmetrical chords in metallic harmony. Asymmetric chords have a more rooted sound while symmetrical chords sound more ambiguous.
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 == EDOs that support metallic harmony ==
+Some notable [[edo]]s for metallic harmony include {{EDOs|5, 10, 15, 26, 31, and 36}} and for more complex harmony [[21edo]] (or supersets of it like [[63edo]]) can be tried. [[10edo]] contains a 7 note MOS ([[3L&nbsp;4s]]) that contains 3 hard and 3 soft metallic triads in addition to one symmetrical triad. In addition Metallic harmony can also be used to harmonize Mavila in [[16edo]]. However Mavila 7 only contains two hard and soft triads on degrees 1 4 and 2 6. Mavila 9 adds two more soft triads but there are still only two hard triads. Therefore, metallic harmony in 16 EDO doesn't work nearly as well in it would in 10 or [[20edo]].
-Some notable [[edo]]s for metallic harmony include {{EDOs|5, 10, 15, 26, 31 and 36}} and for more complex harmony [[21edo]] (or supersets of it like [[63edo]]) can be tried. [[10edo]] contains a 7 note MOS ([[3L 4s]]) that contains 3 hard and 3 soft metallic triads in addition to one symmetrical triad. In addition Metallic harmony can also be used to harmonize Mavila in [[16 EDO]]. However Mavila 7 only contains two hard and soft triads on degrees 1 4 and 2 6. Mavila 9 adds two more soft triads but there are still only two hard triads. Therefore, metallic harmony in 16 EDO doesn't work nearly as well in it would in 10 or [[20 EDO]].
 [[Category:7-limit]]