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. (ibid, p.42)
Read more about Deep Scale Property: Further Reading, Source
Famous quotes containing the words deep, scale and/or property:
“So hills and valleys into singing break;
And though poor stones have neither speech nor tongue,
While active winds and streams both run and speak,
Yet stones are deep in admiration.
Thus praise and prayer here beneath the Sun
Make lesser mornings when the great are done.”
—Henry Vaughan (1622–1695)
“I don’t pity any man who does hard work worth doing. I admire him. I pity the creature who does not work, at whichever end of the social scale he may regard himself as being.”
—Theodore Roosevelt (1858–1919)
“The property of rain is to wet and fire to burn.”
—William Shakespeare (1564–1616)