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In diatonic set theory, the deep scale property is the quality of pitch class collections or scales containing each interval class a unique number of times. Examples include the diatonic scale (including major, natural minor, and the modes) (Johnson, 2003, p. 41). The common tone theorem describes that scales possessing the deep scale property share a different number of common tones for every different transposition of the scale, suggesting an explanation for the use and usefulness of the diatonic collection (Johnson, 2003, p. 42). ==Further reading== *Winograd, Terry. "An Analysis of the Properties of 'Deep Scales' in a T-Tone System", unpublished. *Gamer, Carlton (1967). "Deep Scales and Difference Sets in Equal-Tempered Systems", ''American Society of University Composers: Proceedings of the Second Annual Conference'': 113-22 and "Some Combinational Resources of Equal-Tempered Systems", ''Journal of Music Theory'' 11: 32-59. *Browne, Richmond (1981). "Tonal Implications of the Diatonic Set" ''In Theory Only'' 5, no. 6-7: 6-10. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「deep scale property」の詳細全文を読む スポンサード リンク
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