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词条 Magic chord
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{{Image frame|width=150|content=\\relative c {\\clef "treble_8" \\omit Staff.TimeSignature 1 }|caption=Magic chord (as played in The Well-Tuned Piano).[2]}}

The Magic Chord is a chord and installation (1984) created by La Monte Young, consisting of the pitches E, F, A, B{{music|b}}, D, E, G, and A, in ascending order and used in works including his The Well-Tuned Piano and Chronos Kristalla (1990).[3] The latter was performed by the Kronos Quartet and features all notes of the magic chord as harmonics on open strings.[3] The quartet has been described as, "offer[ing] perhaps the ultimate challenge in performing in a just environment."[4]

Described as, "complex and throbbing," the chord does not contain its fundamental (see root (chord)),[5] E{{music|b}}, and is a subset of the Romantic Chord,[6] G-Dorian in eight octaves, spelled G,A,B,C,D,E,F{{music|#}},G.[7] "When the Magic Opening Chord is obtained by playing the Opening Chord at one end of a room while the Magic Chord is played at the other (as Young set it up for me), the feeling-changes of the stereo effect as you move back and forth[-]are dazzling."[5] The opening chord consists of E{{music|b}}, B{{music|b}}, C, E{{music|b}}, F, B{{music|b}} (ratios 4:6:7:8:9:12 {{audio|La Monte Young - Opening chord on E-flat.mid|Play}}),[8] adding C[9] and E{{music|b}} to the magic chord when combined as the magic opening chord ({{audio|La Monte Young - Magic opening chord.mid|Play}}).

The Well-Tuned Piano is based on a pitch lattice of perfect fifths and harmonic sevenths, tuned as follows:[10][11]
NoteNote played(E{{music|b)EFGAB{{music|b(C)D
b (Ben Johnston notation)(E{{music|b)F7++F+A7b+B7b+Bb(D7b)E7b+
Ratio(1/1)567/5129/821/16189/1283/2(7/4)63/32
Audio
(from C)
({{audio-nohelp|Unison on C.mid|E{{music|b}}}}){{audio-nohelp|Five-hundred-sixty-seventh harmonic on C.mid|E}}{{audio-nohelp|Major tone on C.mid|F}}{{audio-nohelp|Twenty-first harmonic on C.mid|G}}{{audio-nohelp|Hundred-eighty-ninth harmonic on C.mid|A}}{{audio-nohelp|Just perfect fifth on C.mid|B{{music|b}}}}({{audio-nohelp|Harmonic seventh on C.mid|C}}){{audio-nohelp|Sixty-third harmonic on C.mid|D}}
Step Ratio 567/51264/637/69/864/637/69/8

For example, G (21/16) is the harmonic seventh of the perfect fifth (7/4 * 3/2 = 21/16):

P5
H7 49 147 441 1323 (3969)
BF{{music>#}}C{{music>#}}G{{music>#}}D{{music>#}})-->
7 21 63 189 567
C G D A E
1 3 9 (27) (81)
E{{music>b}}B{{music>b}} F

Sources

1. ^{{cite journal |last1=Gann |first1=Kyle |last2= |first2= |year=1993 |title=La Monte Young's The Well-Tuned Piano |journal=Perspectives of New Music |volume=31 |issue= 1 |pages=162 |publisher= |doi= 10.2307/833045|jstor=833045 }} {{subscription}}
2. ^Gann (1993), p. 143.
3. ^Grimshaw, Jeremy (2011). Draw A Straight Line and Follow It: The Music and Mysticism of La Monte Young, p.176. {{ISBN|978-0-19-974020-8}}.
4. ^Strange, Patricia and Strange, Allen (2001). The Contemporary Violin: Extended Performance Techniques, p.160. {{ISBN|978-0-520-22409-4}}.
5. ^Duckworth, William (2009). Sound and Light: La Monte Young and Marian Zazeela, p.187. {{ISBN|978-0-8387-5738-3}}.
6. ^Potter, Keith (2002). Four Musical Minimalists: La Monte Young, Terry Riley, Steve Reich, Philip Glass, p.86. Cambridge. {{ISBN|9780521015011}}.
7. ^Potter (2002), p.85-6.
8. ^Duckworth (2009), p.168.
9. ^Potter (2002), p.87.
10. ^Gann, Kyle (1997). "La Monte Young's The Well-Tuned Piano", La Monte Young Web Page.
11. ^Duckworth p. 166.
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4 : 7-limit tuning and intervals|Chords|Installation art|Minimalistic compositions

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