Music is the hidden arithmetical exercise of a mind unconscious that it is calculating.

Musical training is a more potent instrument than any other, because rhythm and harmony find their way into the inward places of the soul.

Music is a mysterious mathematical process whose elements are part of Infinity. … There is nothing more musical than a sunset. He who feels what he sees will find no more beautiful example of development in all that book which, alas, musicians read but too little — the book of Nature.

I have a feeling it is more or less the same part of my brain which does both [math and music]... they speak to the same place, the same aesthetic...

Music helps you understand the deeper musings of the mind. Listening to music can help a person to a better understanding of his inner drives. This, in turn, gives him the confidence to follow the path in life dictated by his heart.

Music clouds the intellect but clarifies the heart.

Last time, I asked: "What does mathematics mean to you?" And some people answered: "The manipulations of numbers, the manipulation of structures." And if I had asked what music means to you, would you have answered: "The manipulation of notes?"

Music is the medicine of a troubled mind.

Music is a calculation which the soul makes unconsciously in secret.

Music is the arithmetic of sounds as optics is the geometry of light.

All truth is comprised in music and mathematics.

Music is associated not only with speculation but with morality. When rhythms and modes reach an intellect through the ear, they doubtless affect and reshape that mind according to their particular character.

If physics is Applied Mathematics, perhaps music is Performed Mathematics.

These Disciplines [mathematics] serve to inure and corroborate the Mind to a constant Diligence in Study; to undergo the Trouble of an attentive Meditation, and cheerfully contend with such Difficulties as lie in the Way. They wholly deliver us from a credulous Simplicity, most strongly fortify us against the Vanity of Scepticism, effectually restrain from a rash Presumption, most easily incline us to a due Assent, perfectly subject us to the Government of right Reason, and inspire us with Resolution to wrestle against the unjust Tyranny of false Prejudices. If the Fancy be unstable and fluctuating, it is to be poised by this Ballast, and steadied by this Anchor, if the Wit be blunt it is sharpened upon this Whetstone; if luxuriant it is pared by this Knife; if headstrong it is restrained by this Bridle; and if dull it is roused by this Spur. The Steps are guided by no Lamp more clearly through the dark Mazes of Nature, by no Thread more surely through the intricate Labyrinths of Philosophy, nor lastly is the Bottom of Truth sounded more happily by any other Line. I will not mention how plentiful a Stock of Knowledge the Mind is furnished from these, with what wholesome Food it is nourished, and what sincere Pleasure it enjoys. But if I speak farther, I shall neither be the only Person, nor the first, who affirms it; that while the Mind is abstracted and elevated from sensible Matter, distinctly views pure Forms, conceives the Beauty of Ideas, and investigates the Harmony of Proportions; the Manners themselves are sensibly corrected and improved, the Affections composed and rectified, the Fancy calmed and settled, and the Understanding raised and excited to more divine Contemplation. All which I might defend by Authority, and confirm by the Suffrages of the greatest Philosophers.