Introduction | 2 |

Section 1. Pitch scales as a level of music perception | 6 |

Section 2. Optimal timbres and scales | 14 |

Section 3. Well tempered 19-tone scale | 22 |

Conclusion | 38 |

Annex 1. Information carried by a change in a distribution function | 41 |

Annex 2. A notation sysytem for 19-tone music | 43 |

Annex 3. Piano keyboard structure for the 19-tone system | 46 |

Charts | 47 |

Table 1. τ-timbres | 52 |

Table 2. Optimal timbres | 47 |