Formulating Pythagorean Tuning Using Fifths & Just Intonation Tuning Using the Harmonic Series скачать в хорошем качестве

Formulating Pythagorean Tuning Using Fifths & Just Intonation Tuning Using the Harmonic Series

A recap of how to build a Pythagorean Tuned scale (which is itself a form of just intonation tuning) followed by a look at Just Intonation Tuning derived through octave reduction and expansion techniques of the Harmonic Series. Then, a critique of the 2 tuning systems and why another tuning temperament has been popularized in modern music. TOC: 00:00 — Introduction 00:16 — Review of Pythagorean Tuning 03:26 — Discrepancies with Pythagorean Tuning 04:02 — Consonant vs. Dissonant Intervals 05:08 — The Fundamental Dilemma 06:21 — Tempering the Pythagorean Comma 06:40 — The Wolf Fifth 09:51 — The Case for Just Intonation Tuning 10:28 — The Harmonic Series in a Blacksmith’s Forge 11:24 — A Cosmic Sound, Part I 12:23 — A Cosmic Sound, Part II 12:40 — Harmonics Determine Timbre 13:01 — A Cosmic Sound, Part III 13:31 — The Diatonic Scale Through the Harmonic Series 14:22 — Building a Just Intonation Scale Using the Harmonic Series 16:54 — MicroTonal Complications 18:37 — Building a JIT Scale the Other Way 20:07 — Choosing Simplest Ratios for a JIT Scale 20:34 — Comparing Intervals of Just Intonation Tuning with Pythagorean Tuning 22:23 — Which Tuning System to Choose? 22:49 — The Case for Irrational Intervals’ 23:05 — The Consistency of Equal Temperament