Extraclassical tonality: Difference between revisions

Line 6:

Arto and tendo triads are the same shape as minor and major triads, but with a more extreme difference between the thirds. This can be characterized in terms of interval [[latitude]] with respect to the perfect fifth, wherein arto and tendo have latitudes more extreme than major and minor.

An arto triad results by flatting the third of a minor triad by approximately one [[quarter tone]], producing an inframinor third of about ~~235-255~~{{cent}}.

An arto triad results by flatting the third of a minor triad by approximately one [[quarter tone]], producing an inframinor third of about 235–255{{cent}}.

A tendo triad results by sharping the third in a major triad by approximately one quarter tone, producing an ultramajor third of about ~~445-465~~{{cent}}.

A tendo triad results by sharping the third in a major triad by approximately one quarter tone, producing an ultramajor third of about 445–465{{cent}}.

The tendo chord is considered to be more consonant than the arto chord, just as the major chord is considered more consonant (if only slightly) than the minor chord. Also, both chords are only slightly more dissonant than the normal major and minor chords.

More generally, [[User:VectorGraphics/The spectrum of mediants|medials]] of a fifth with a latitude of ~~~25-30~~ degrees may be considered arto and tendo thirds, where the outer bound (and one of the most common tunings) is [[3edf]], corresponding to slendric.

More generally, [[User:VectorGraphics/The spectrum of mediants|medials]] of a fifth with a latitude of ~25–30 degrees may be considered arto and tendo thirds, where the outer bound (and one of the most common tunings) is [[3edf]], corresponding to slendric.

== Notation ==

@@ Line 6: / Line 6: @@
 Arto and tendo triads are the same shape as minor and major triads, but with a more extreme difference between the thirds. This can be characterized in terms of interval [[latitude]] with respect to the perfect fifth, wherein arto and tendo have latitudes more extreme than major and minor.
-An arto triad results by flatting the third of a minor triad by approximately one [[quarter tone]], producing an inframinor third of about 235-255{{cent}}.
+An arto triad results by flatting the third of a minor triad by approximately one [[quarter tone]], producing an inframinor third of about 235–255{{cent}}.
-A tendo triad results by sharping the third in a major triad by approximately one quarter tone, producing an ultramajor third of about 445-465{{cent}}.
+A tendo triad results by sharping the third in a major triad by approximately one quarter tone, producing an ultramajor third of about 445–465{{cent}}.
 The tendo chord is considered to be more consonant than the arto chord, just as the major chord is considered more consonant (if only slightly) than the minor chord. Also, both chords are only slightly more dissonant than the normal major and minor chords.
-More generally, [[User:VectorGraphics/The spectrum of mediants|medials]] of a fifth with a latitude of ~25-30 degrees may be considered arto and tendo thirds, where the outer bound (and one of the most common tunings) is [[3edf]], corresponding to slendric.
+More generally, [[User:VectorGraphics/The spectrum of mediants|medials]] of a fifth with a latitude of ~25–30 degrees may be considered arto and tendo thirds, where the outer bound (and one of the most common tunings) is [[3edf]], corresponding to slendric.
 == Notation ==