調律方法

下の現在に調律に関して開発した理論方法です。

• 平均律: 一つ程度を使って、いろんな平均分配で割った調律である。
• MOS音階: Tunings (or better, scales) that use iterations of a generating interval, modulo a period interval, to produce scales of two step-sizes.
• 純正調: 基本周波数を整数比に関するための調子調律です。調和級数、整数周波数、調整菱形、エイコサニ、フォッカ・ブロックのなど、見本が莫大世界があります。
  • Combination product sets
  • Fokker blocks
  • The harmonic series and subharmonic series
  • Harmonic limits
  • Isoharmonic chords/scales
  • Just intonation subgroups
  • NEJI scales (near-equal just intonation)
  • Overtone scales/AFDOs
  • Primodality
  • Tonality diamonds
  • Tritriadic scales
  • Undertone scales/IFDOs
  • etc.
• Regular Temperaments: (including Linear Temperaments): a centuries-old practice that has recently undergone a mathematical facelift, in which Just Intonation is selectively and regularly detuned in various ways, to better meet a variety of compositional desires
• Timbral tuning: An approach similar to just intonation, but using an instrument's actual, non-harmonic overtone spectrum (e.g. the partials of a metal bar, drum head, or synthesized timbre) to relate frequencies instead of the harmonic series.
• Extensions or alterations of just intonation:
  • Homothetic just intonation
  • Powharmonic series
• 西洋のないとか、土着とか、古い文化の音楽伝統です。
  • アフリカ
  • 古代ギリシア
  • アラビア、ターキー、ペルシア
  • Byzantine
  • Georgian
  • インド（北国、南国）
  • インドネシア
  • 先コロンブス期
  • タイ
• 史上西洋調律: 多少の常習音楽で使ったウエル・テンペラメント調律またはミーントーン調律である。
• テトラコード: the use of divided fourths as building blocks for composition.

Subjective processes

The following approaches describe the subjective exploration process or its representations rather than its objective, audible result:

• Contextual Xenharmonics: The exploration of why things sound the way they do to some and not others.
• Empirical This is a form of hands-on, field research as opposed to a form of acoustical or scale engineering where tunings are specifically derived from listening and playing experiments carried out in the pitch continuum.
• Pretty Pictures that represent scales in one way or another
• Musical notation(pretty pictures for a the purpose of writing music down)
  • Nominal-Accidental Chains A common approach to notation
• the notion of a Scalesmith who builds scales, with various methods, perhaps for single occasions
  • Mathematically based scales
  • Acoustically-based scales (resonant frequencies of performance space, for example)
  • Scale transformation and stretching
  • Counter-intuitive, random, arbitrary scales