9:8 is the music section of Epog’s blog. The title of this page came from the meaning of the latin word “epogdous”, a number that has within it a smaller number and its eighth part in addition (e.g. in nine eight is contained and in addition its eighth part, that is, one.). Ancient men believed that God had created the universe by cosmic ratios. The notes of the musical scale were determined by the ratio 3:2, called hemiolus, or sesquialter. The derived intervals were called duplus (2:1, an octave), epitritus, or sesquitertian, (4:3, a perfect fourth) and epogdous, or sesquioctave, (9:8, a tone). The fifth (3:2) can be divided into the product of 5:4 (a major third) and 6:5 (a minor third) and the fourth (4:3) can be divided into the product of 7:6 (a shrunken minor third) and 8:7 (an enlarged whole tone). Then there are the golden section (1+√5:2, in between a minor and major sixth) and symmetry (1:1, a unison). So an epogdous in numbers is a tone in music, “il principio di ogni consonanza” (Zarlino, Le istitutioni harmoniche, 1558).
From the beginning all things whatever wich have been created may be seen by the nature of things to be formed by reason of numbers. Number was the principal exemplar in the mind of the creator. From it was derived the multiplicity of the four elements, from it were derived the changes of the seasons, from it the mouvement of the stars and the turning of the heavens. […] Nothing can be considered as composed of similar parts or composed of things which are joined without reasonable proportion.
Michael Masi, Boethian number theory
• Serial alignments : multiple alignment of pitches classes.
• Somewhere beyond the se…ries! : pattern-based serial composition technique (pt. 3)
• Draft Limbo : a personal reflection on composing as a hobby
• Bricks : musical permutations based on the inversion of harmonic intervals
• Symmetric compulsion : speculations on a mirrored palindromic row
• A new birth : Epog’s new YT channel
• Stravinsky & Venice : report on a BBC Prom
• Somewhere beyond the se…ries! : pattern-based serial composition technique (pt. 2)
• Somewhere beyond the se…ries! : pattern-based serial composition technique (pt. 1)
• Janáček or the extrasensory experience : report on From the House of the Death
• Arranging for dummies : on the Art of Arranging
• Musical origami : three-dimentional rappresentation of musical intervals
• A case in point : speculations on 9/8 time signature (pt. 2)
• Stephan Albert, shut down poet : Stephen Albert (1941-1992), American composer
• Verdi’s absolute rarities : “Unpublished Verdi” (Arts Music, 2001)
• For classical music geeks only : speculations on 9/8 time signature (pt. 1)
• A present for me : “Ralph Vaughan Williams Choral Works” (Hyperion, 2008)