The eleventh variation is brief, but full of meat, and in it the main idea almost disappears in cloudy octaves, in which an occasional middle voice may be faintly discerned. The twelfth is a heart-breaker, and bold to extremes. The coda ends in a whirlwind of skips, and the wonder-working of the Paganini studies is dimly presaged.

No. 13 is in the shape of a toccata in double notes, and is capital; but my favorite variation, over which you may dream soft, summer night dreams, is the next, the fourteenth. This is a true nocturne, and its hesitating tones, over an undulating bass, tell of the dear, dead Chopin, lying near Bellini, in Père la Chaise.

Variation fifteen is in G flat and in the Lydian mode, the coda-finale is as if Brahms feared to part from his theme and took a lingering leave taking. These variations are worthy of the deepest study.

III

The Walzer, op. 39, were not written first for two hands, but for four. The composer arranged them afterward for solo-purposes. They are divine specimens of the dance, and I prefer them even to Rubinstein, and that is saying much, for the Russian has left many admirable examples.

Any comparison with the Chopin valse is of course out of the question. Chopin wrote, as Liszt truthfully said, for countesses, and in his aristocratic measures we feel the swirl of silken skirts, divine the perfume of the fashionable salon and hear the soft pulsations of delicate, half uttered confidences. The room rustles with the patter of beauty’s feet, but after all it is a drawing room; not a breath of the open is there.

There are some of the Chopin valses that are not only mediocre, but positively bad. Take the first, the one in E flat, is it not actually vulgar? And the one in A flat that follows is not much better. The A minor valse is elegiac, even unto the Mendelssohnian point. It is when the A flat valse, op. 42, is reached that we get a taste of the true Chopin. This with the one in C sharp minor, the posthumous valse in E minor and the delightfully developed dance in A flat are Chopin at his dancing best. The D flat valse is something to be avoided, simply because of the woful way it has been misrepresented by pianists. I don’t allude to double-noting the unfortunate piece, but to the erroneous fashion of playing the first section too fast and the second too slow. Georges Mathias, of Paris, a genuine Chopin pupil, said that the master took the tempo rather moderately, making an accelerando on the up run, ending with a little click on B flat. The rubato, so M. Mathias declared, was indescribably beautiful; therefore, unless the Chopin tradition is carried out, let the Valse de Chien rest its tiresome little bark in peace. With the E flat nocturne, it has become a nuisance.

The musical content of the Chopin valse is a certain suavity, distinctive grace, charming rhythm and aristocratic melody, and it is safe to say that few of these qualities can be found in the Brahms Walzer. But as is the case with Schubert, Brahms dances more poetically, and always in the open air. Sometimes the round verge of the sun blazes overhead in the blue, and you hear the muscular jolt of large limbed men and women taking their pleasure heartily, then the aromatic night of the forest encompasses you, and the sound of dancing is heard, but afar. Poetry is in the air and passion too, and exquisite is the sound and exquisite the suggestion.

Take the first dance of the op. 39. It is in the key of B, and harmonized in the lustiest, freest fashion imaginable. It opens boldly, joyously, with the decisiveness we know so well in the preambule to Schumann’s Carneval. It is but a page long, and a small page at that, but there is no mistaking its worth.

The second valse in E has an entrancing lilt, marked dolce; it is well named. The mood is nocturnal, the color subdued, but none the less full of glancing richness. Then follow two tiny gems, as precious almost as some of Chopin’s preludes. The one is in the warm and neglected key of G sharp minor, the other in E minor. The first has the pulse beat of Chopin, the second is Hungarian and lovely, and the brace of harmonic progressions at the close is worth living for.