THE WILSON ARCHIVES

SOME BASIC PAPERS, SCALES AND INSTRUMENT DESIGNS

UNDER CONSTRUCTION-SUBJECT TO CHANGES

~Comments and Questions Welcome~

The Harmonic and Subharmonic Series (and dual combinations)-Moments of Symmetry-Diatonic Extensions and the Scales of India-Papers on various Equal Divisions-Tetrachordal scales-Constant Structures and larger Just intonation scales

Comments on The Basic Papers Section {revised 1/2012}

The Harmonic and Subharmonic Series (and Dual combinations)

Some Comments on the Harmonic and Subharmonic Series {revised 1/2012}

• GRAPHS ON THE HARMONIC AND SUBHARMONIC SERIES [revised 1/2012]

• A LOOK AT THE ALPHORN

• 12 KEYS ARE NOT ENOUGH

Some Comments on the Diaphonic Cycles, the Helixsongs and Flute Scales and Notes {revised 1/2012}

• DIAPHONIC CYCLES [revised 1/2012]

• SOME HELIXSONG DESIGNS and A THEORETICAL BAGPIPE TUNING

• FLUTE SCALES AND NOTES

An Introduction to the Moments of Symmetry

• Letter to Chalmers pertaining to MOMENTS OF SYMMETRY/TANABE CYCLE*

• The 3-GAP THEOREM (Steinhaus conjecture) Revisited*

Some Comments on Genus 12 & 17 and the Septendene Papers

• SOME BASIC PATTERNS UNDERLYING GENUS 12 & 17/ MALLET AND KEYBOARD LAYOUTS

• THE SEPTENDENE as derived by relative rotations of a tetrachord/Letter to Derreg on 17 in 612ET

Some comments on the 22-tone Shruti System, Raga Scales and the Khiasmos

• SELECTED LETTERS AND PAPERS ON THE THE 22-TONE SHRUTI SYSTEM OF INDIA*

• VARIOUS RAGA SCALES UPON HANSON LATTICE*

• KHIASMOS IN THE 22 TONE SCALE OF INDIA*

• AN EARLY LETTER TO CHALMERS AND DARREG*

• The MOMENTS OF SYMMETRY OF EQUAL DIVISIONS 5 THRU 28, PLUS 31 AND OTHERS

• PAPERS ON THE 13 TONE SCALE*

• LETTER TO BRIAN McLAREN*

• MELODIC HEXANIES IN 19-TONE*

• EARLY PAGES ON 22 ET*

• PAPERS ON THE 31 TONE SCALE*

• A 24-TONE TURKISH SYSTEM*

• EARLY LATTICES OF SOME 12 TONE CONSTANT STRUCTURES

• VIGGO BRUN'S ALGORITHM APPLIED TO MOS SCALE STEPS

• SOME CONSTANT STRUCTURES PREDICTED BY VIGGO BRUN'S ALGORITHM

• VARIOUS JUST 22-T0NE SCALES*

• OG VIGGO BRUN'S EUCLIDEAN ALGORITHM

From Xenharmonikon 9

• THE MARWA PERMUTATIONS

From Xenharmonikon 10

• THE PURVI MODULATION

• THE RAST/MAYYATI MATRIX

• 5-CAP, COMMA/SKISMA SIEVE plus 11-CAP SIEVE AND SOME RELATED PAPERS

• 26-TONE CHAINS OF SEVENS*

• A 36 TONE FIBONACCI TUNING (2 mappings) plus LAMBDOMA of a FIBONACCI SEQUENCE*

~Comments and Questions Welcome~