11 March 2014

Symphony No. 2, or, A 19th Century Russian Composer in 21st Century America

That composer would be Modest Petrovich Mussorgsky (1839-1881), my personal favorite of the Five. And it is his piano suite, Pictures at an Exhibition, famously orchestrated by Maurice Ravel, which inspired one of my works-in-progress, the second of my “epic symphonies” (in E flat major).

Mussorgsky himself was inspired to write “Pictures” when his friend, artist Victor Hartmann, died suddenly. He imagined his sketches as part of an exhibit: a ten-movement work, each preceded by a leitmotif he called “Promenade”. I’m doing something similar for my Symphony, only with fifty-two movements, for the fifty American States plus the District of Columbia and Puerto Rico, each individual piece inspired by photographs from each state.

While Mussorgsky imagined a trip to a museum, I chose to subtitle my opus “Great American Road Trip”. (The movements for Puerto Rico, Alaska and Hawai’i would require a different means of transportation, of course.) I’m expecting the finished work to be over two hours long, most movements taking up two to three minutes each, but a few as much as five.

Some features of the work:

  • Since each movement could be considered a “prelude” of sorts, I’m using all twenty-four major and minor keys, with the remainder of the movements repeating a key, or being atonal. At least one of the movements will use a tonality based on a quarter tone, or an Arabic maqam (including a taqsim on Maqam Bastanigar for clarinet in the Michigan movement). Since the key is constantly changing, this would almost be an example of the progressive tonality of Mahler’s symphonies, except the first and final movements will both be in E flat major, the overall key of the work.
  • Soloists will be featured at various times. For the middle movements, this will be piano, so the work will sound a bit like a piano concerto. Other instruments to be used: harpsichord, guitar, banjo, accordion, Latin percussion and church organ.
  • Various popular styles will be used, such as bluegrass for Kentucky and Tennessee, jazz for Louisiana and Missouri, polka and Irish reel for Illinois, tejano for Texas.
  • The fifty-two movements are organized into five parts:
    Part One (1-12): Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Pennsylvania, Delaware, Maryland, District of Columbia.
    Part Two (13-22): Virginia, West Virginia, Kentucky, Tennessee, North Carolina, South Carolina, Georgia, Alabama, Florida, Puerto Rico.
    Part Three (23-33): Louisiana, Mississippi, Arkansas, Missouri, Iowa, Illinois, Indiana, Ohio, Michigan, Wisconsin, Minnesota.
    Part Four (34-42): North Dakota, South Dakota, Montana, Wyoming, Colorado, Nebraska, Kansas, Oklahoma, Texas.
    Part Five (43-52): New Mexico, Arizona, Nevada, Utah, Idaho, Oregon, Washington, Alaska, Hawaii, California.
  • For the Nevada movement, I want to use Harry Partch’s 43-microtone scale, but probably approximated in 72 equal temperament for convenience.
One more thing: I’ll be ripping off another Mussorgsky opus, A Night on the Bare Mountain, for the Texas and Hawaii movements. Some more inspiration will come from other multi-epic symphonic works: Holst’s The Planets, Stravinsky’s early ballets, Schoenberg’s Five Orchestral Pieces, and from a fellow American composer, Charles Ives’ Three Places in New England. Also, of course, all those great symphonies (though what I’m writing is as much a symphonic suite as symphony).

To get you started, here’s the first movement, Maine.



06 March 2014

Instead of cents, why not degrees?

In contemporary usage, precise tuning measurements are measured in cents, or hundredths of an equal-tempered semitone. An octave is thus measured as 1200 cents, so one cent, as a difference in frequency, is the 1200th root of two, as an ET semitone is the twelfth root of two.

Alternative scale measurements propose include the SI/metric-inspired millioctave (the thousandth root of two), the savart (which uses base-10 logarithms instead of base-2), and my preferred measurement: the arc degree. Here, I think of the octave (the 2:1 ratio of frequencies) as a circle, with each note of the scale repeating for each octave, and one degree being 1/360 of an octave, 3 1/3 cents each. For finer measurements, minutes and seconds could be used, or merely degrees with decimal fractions.

But why divide the octave into 360 degrees? Answer: 360 is a multiple of 72, and 72 equal temperament is an excellent ET approximation of just intonation, especially 11-limit, that just happens to be a multiple of twelve. It is also a multiple of twenty-four, as used in modern Arabic quarter-tone tuning, and thirty-six, used in some Iranian systems. Also, the ET whole tone is divided into sixty equal parts, and sixty is the smallest natural number divisible by all integers from one through six.

Some measurements in degrees:
  • octave (2/1): 360°
  • equal whole tone: 60°
  • equal semitone: 30°
  • equal quarter tone: 15°
  • just perfect fifth (3/2): 210° 35′ 11″ or 210.59° (12et 210°)
  • just perfect fourth (4/3): 124° 24′ 49″ or 149.41° (12et 150°)
  • just major third (5/4): 115° 53′ 39″ or 115.89° (12et 120°, 72et 115°)
  • just minor third (6/5): 94° 41′ 33″ or 94.69° (12et 90°, 72et 95°)
  • just blues minor third (7/6): 80° 3′ 41″ or 80.06° (72et 80°)
Like degrees, minutes and seconds used in arc measurements, and minutes and seconds in time, this is a modern use of sexagesimal (base-sixty) mathematics, used by the ancient Sumerians and Babylonians, and also by the “elves” in my story for Symphony No. 1.

05 March 2014

An official name for “Language P”

The international language for the story in Symphony No. 1 is officially called Dunia Lengua, meaning “World Language”. (The Chinese name for Esperanto is 世界语 Shì​jiè​yǔ​, meaning the same thing.)

The first word is of Arabic origin: دنيا, borrowed into Hindustani, Bengali and Malay. The second is from Latin via Spanish and Portuguese, meaning “language” and “tongue”, with cognates in English and French.

Also, it will also be based on the twelve most spoken languages, L1 and L2 combined, according to Ethnologue, weighted accordingly:
  • Chinese (Mandarin) 9
  • English 7
  • Hindi-Urdu 4
  • Spanish 4
  • Arabic 4
  • Russian 3
  • Portuguese 2
  • Bengali 2
  • Malay-Indonesian 2
  • Japanese 1
  • French 1
  • German 1
More news when I can write some.