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27 inches; its pitch on the scale is therefore 266/227; dividing both terms by 55, the reduced fraction approximates to 5/4 with great accuracy, when we consider the deviations from truth liable to occur in the delicate measurements necessary to determine the length of a light vibration, or the amount of quiver in a tense cord. A green wave is 0.0000211 inches in length; its pitch is then 266/211, which reduced, becomes 4/3; in like manner the subsequent intervals may be determined, which all prove to be complete analogues, except, perhaps, violet, whose fraction is 266/167, which reduces nearer 16/9 than 15/8. But these small discrepancies, which might be expected in the results of physical measurements, do not cripple the analogy which appears now in the two following scales: DIATONIC OR NATURAL SCALE OF MUSIC. C, D, E', F, G, A, B, C' D' E', &c. 1 9/8 5/4 4/3 3/2 5/3 15/8 2 18/8 10/4 DIATONIC OR NATURAL SCALE OF COLOR. Red, Orange, Yellow, Green, Blue, Indigo, Violet. 1 9/8 5/4 4/3 3/2 5/3 16/9 Thus orange is to red what D is to C; and to resume the proportion we used before, red is to eye as C is to ear; yellow: eye: Mi: ear; and so on the proportion extends, till the analogy embraces chords, harmonies, melodies, and compositions even. We have already mentioned the chord of the tonic, and the corresponding eye-music, red, yellow, and blue; let us consider the chord of the dominant or 5th note, whose analogue is blue. This chord is constructed on the 5th of the diatonic as a fundamental note, and consists of the 5th, 7th, and 9th, or returning the 9th an octave, the 5th, 7th, and 2d. The parallel harmony among the spectral colors is blue, violet, and orange. The name 'dominant' indicates the nature of this chord; its often recurring importance in harmonic combinations of a certain key make it easily recognized, and it is even more pleasing than the tonic in its subdued character. Out of doors this chord is preeminent in the sunset key, and the western skies ever chant their evening hymn in the 5th, 7th, and 2d of the ethereal music. The correspondence of the sub-dominant would be red, green, and indigo; of the chord of the 6th, red, yellow, and indigo; and so on, the curious mind may elicit the symmetrical to any notes, half notes, or combinations of notes. It is evident that as a note may be interpolated between any two of the scale
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