THE WILSON ARCHIVES

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SOME BASIC PAPERS, MICROTONAL SCALES AND INSTRUMENT DESIGNS

The Harmonic and Subharmonic Series - Dual Combinations and Additions - Moments of Symmetry - Diatonic Extensions - The Theoretical 22 Tone Scale of India - Papers on Various Equal Divisions - Constant Structures and Larger Just Intonation Scales - Various Applications of Viggo Brun's Algorithm - Scale Permutations and Modulations - Extended Mappings and Unique Generators

Comments on The Basic Papers Section

THE HARMONIC AND SUBHARMONIC SERIES

Some Comments on the Harmonic and Subharmonic Series

• GRAPHS ON THE HARMONIC AND SUBHARMONIC SERIES  

• 12 KEYS ARE NOT ENOUGH

• A LOOK AT THE ALPHORN

DUAL COMBINATIONS AND ADDITIONS

Some Comments on the Flute Scales and Notes,
the Diaphonic Cycles, and The Helixsongs

• THE FLUTE SCALES AND NOTES  

• THE HELIXSONG, AND A THEORETICAL BAGPIPE TUNING

• EVANGELINA

• THE DIAPHONIC CYCLES

• MORE DIAPHONICS - found in Wilson's sketchbooks

MOMENTS OF SYMMETRY

An Introduction to the Moments of Symmetry

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

• The 3-GAP THEOREM (Steinhaus conjecture) Revisited

• MOS scales found in the scale tree between 0/1 and 1/2

DIATONIC EXTENSIONS

Some Comments on Genus 12 & 17

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

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

THE THEORETICAL 22 TONE SCALE OF INDIA

Some comments on the 22-tone Shruti System

• VARIOUS RAGA SCALES UPON HANSON LATTICE

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

• KHIASMOS IN THE 22 TONE SCALE OF INDIA

PAPERS ON VARIOUS EQUAL DIVISIONS

Some Comments on Equal Divisions

• 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 (15ET)

• MELODIC HEXANIES IN 19-TONE

• EARLY PAGES ON 22 ET

• VARIOUS PAPERS ON NON-OCTAVE SCALES

• PAPERS ON THE 31 TONE SCALE

• SKETCHBOOK PAPERS ON THE 31 TONE SCALE

• A TURKISH 24-TONE SUBSET OF THE 53ET SYSTEM

CONSTANT STRUCTURES AND LARGER JUST INTONATION SCALES

Some comments on Constant Structures

• EARLY LATTICES OF SOME 12 TONE CONSTANT STRUCTURES

• EARLY LATTICES OF SOME 22 TONE CONSTANT STRUCTURES

• VARIOUS JUST 22-TONE SCALES

• 26-TONE CHAINS OF SEVENS

• THE RAST/MAYYATI MATRIX

VARIOUS APPLICATIONS OF VIGGO BRUN'S ALGORITHM

An excerpt from Mandelbaums thesis on Viggo Brun's Algorithm

• VIGGO BRUN'S ALGORITHM APPLIED TO MOS SCALE STEPS

• OG VIGGO BRUN'S EUCLIDEAN ALGORITHM

• SOME CONSTANT STRUCTURES PREDICTED BY VIGGO BRUN'S ALGORITHM

SCALE PERMUTATIONS AND MODULATIONS

• CONSIDER OLYMPOS -a preliminary draft of the Marwa Permutations

• THE MARWA PERMUTATIONS - From Xenharmonikon 9

• THE PURVI MODULATIONS-From Xenharmonikon 10

EXTENDED MAPPINGS AND UNIQUE GENERATORS

• NON OCTAVE SCALES

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

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

• GEORDAN MITCHELL'S FRACTALTONE SCALE INTERPRETED

~Comments and Questions Welcome~