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Dive into the enchanting world of Chinese bowed string instruments like the Erhu and Gaohu. Prof. Lydia Ayers discusses various tuning systems, notably Pythagorean tuning, its historical significance, and its applications in both Chinese music and Indian ragas. Discover the differences between Erhu, Gaohu, and Zhonghu, along with their unique resonator shapes and sounds. This comprehensive exploration includes insights on scales, including pentatonic scales and comparisons of major and minor scales, fostering a deeper understanding of music theory in a cultural context.
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Intervals, Tuning and Scales 4 By Prof. Lydia Ayers
Bowed Strings (huqin) • Erhu • 2 strings with a snake-skin sound box • <3:16>Wong On Yuen, erhu, performs Joshua Chan Kam Biu's Eternal Love Wong On Yuen (gaohu)
Bowed Strings (huqin) • Gaohu • 2 strings with a snake-skin sound box; higher than erhu • Zhonghu • lower than erhu • The shape of the resonatorvaries from circular to octagonal.
fifth 3/2 Pythagorean Tuning • in common use in Greek Antiquity and the Middle Ages in western music • still used in Chinese music and some Indian ragas today • Pythagorean spiral of fifths • based upon pure 3/2 fifths
Pythagorean Tuning • first discovered by Ling Lun, a court musician of Emperor Huang-Ti, possibly as early as the 27th century B.C. • used a length of bamboo called a "lu" — similar to paixiao Ling Lun's Tuning of the Lu paixiao by Edward Wong
[i:57] Zheng Tuning Example 1392781 1 2 8 16 64
Pythagorean Tuning [i:58] Pentatonic (5-note) scale of Ling Lun's Tuning of the Lu . Chinese: 1 2 3 5 6 1
1 1 3 2 9 4 9 8 3 2 3 2 1 2 x x x = = = Pythagorean Spiral of Fifths 1 1 4 3 3 2 16 9 9 8 C F G Bb D 32 27 27 16 A Eb , E Ab B Db Gb/F# 128 81 81 64 256 243 243 128 1024 729 729 512 Pythagorean 531441 Comma 524288
Pythagorean Tuning [i:59] Pythagorean Major Scale
Pythagorean Tuning • major third is very sharp, so major chord is out of tune [i:61] Pythagorean Major Chord
Interval Flow Chart(major intervals on top) 9/815/8 / /\ / \ / 10/95/45/3 \ / / / \ / \ \ 1 - - - - - -4/3 - 3/2 - - - - - 2 \ \ / \ / / / \ 6/58/59/5 / \ / \ / / 16/1516/9 1 2 3 4 5 6 7 8
[i:66]Pythagorean Minor Scale [i:67] Comparing Tuning Systems for the Minor Scale
Minor Chords • Pythagorean minor third is very flat, so chords are out of tune [i:68]Just Minor Triad [i:69]Pythagorean Minor Triad
[i:70]Sometimes I feel Like a Motherless Child(Black American Spiritual) • A Natural Minor Scale
Leading Tone • "leads" up to the tonic by a half step • seventh scale degree from the major scale [i:71]Leading Tone in C Major Scale
[i:72]Harmonic Minor Scale • natural minor scale pattern with seventh scale degree borrowed from major scale to give a leading tone • modified by accidental, not by key signature Harmonic Minor Scale - Key of C
[i:73]Melodic Minor Scale • natural minor scale pattern with raised tones going up and lowered tones coming down • closes gap between sixth and raised seventh scale degrees Melodic Minor Scale - Key of C Minor