octachord


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octachord

(ˈɒktəˌkɔːd)
n
1. (Instruments) an eight-stringed musical instrument
2. (Classical Music) a series of eight notes, esp a scale
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That same value ({41}) referring to the ic1 content of an octachord suggests considerably less-salient cyclic presence.
They are "maximally similar" in Forte's sense; the intervals between consecutive pitch classes in the normal forms of set classes, Chrisman's CINT1, are similar - each has two three-pitch-class clusters and one two-pitch-class cluster; Lewin's EMB, a measure of the number of times a given set class is abstractly included in another set, is quite high for the major/minor triads - there are nine in sc 8-19, the octachord with the highest EMB of [037], and eight in sc 8-20, an EMB shared with only five other octachords.(14) But Example 5.1 and Example 5.2, the abstract partition graph of sc 8-19 [01245689], are strikingly different.
Of all the 3/5 partitioned octachords, sc 8-25 [0124678A] has the largest disjunction, 11.
From the standpoint of the electronic dimension, a very small number of "octachords" can be made to generate a tremendous variety of electronic sounds.
Often, when the texture is thickened to eight simultaneous pitches, as in measure 429 and measure 454, the octachords are formed by two 0167 tetrachords separated by interval 2 (Example 17a and b).