Tuning by Ratios

Table of Contents

  1. Introduction
    1. A Close-up Look at Frequency
  2. Tuning Intervals by Ratios
    1. The A Major Scale Expressed in Ratios
  3. Common chords
    1. Derivations of the Major and Minor Triads
      1. C Major Triad
      2. F Minor Triad
  4. The Simplified Schematic Diagram
    1. C Major Triad
    2. F Minor Triad
    3. Observations on Simplified Diagrams
    4. Conclusions
  5. Optimal Durations for Chords
    1. Overview
      1. Formula to Determine Smallest Optimized Duration for a Chord
      2. Proof
      3. Application of Theory
  6. What is Csound?
    1. Orchestra and Score Files
    2. Standard Csound Format
  7. Tape Loop Program
    1. Running the Tapeloop Program
      1. Sample Run of Tapeloop.exe
  8. Bach Two Part Invention
    1. Traditionally Notated Score
    2. Csound Orchestra and Score
  9. Chord Progression Example
    1. Traditionally Notated Score
    2. Csound Orchestra
    3. Csound Score
  10. Bach Chorale Example #1
    1. Traditionally Notated Score
    2. Csound Orchestra and Score
  11. Bach Chorale Example #2
    1. Traditionally Notated Score
    2. Csound Orchestra and Score
  12. Conclusion