Free 1635: Music and Murder by David Carrico Page A

mercy on you. I went from D to A, and ended in E. See the pattern in the modulations? Each time I modulated to the dominant of the previous key. I've now got five different keys in this piece, ranging from C major with no sharps or flats to E major with four sharps. Hermann," she looked at him seriously, "in the Mean system, can I have all five of those keys sound consonant in the same piece of music ?"
    Franz heard her emphasis, but was glad to note that her tone of voice and her expression were both serious, that there was no sense of mocking or humor. She was treating both the topic and Hermann with respect.
    The room was quiet. No one said anything, no one even stirred until Hermann finally sighed, and said, "No, Fräulein Marla, you cannot. Your point is made."
    "But don't you see, Hermann," Marla said, "don't you see that it's not my point? This is not some dictate that I'm trying to force upon you. It's not some up-time invention or standard that I'm trying to shove down your throat. The earliest mention I could find for equal temperament goes all the way back to some guy named Grammateus in 1518—that's over one hundred years before today, for heaven's sake! Equal temperament was something that generations—your predecessors in music, your peers now, and your successors in music—all worked toward. As composers and performers alike desired more tonal complexity and sophistication in their music, as they experimented and argued amongst themselves and with their patrons, they eventually hammered out a consensus for the equal temperament system."
    Marla looked around at all of them, then said slowly, "And Hermann, it was the Germans who arrived at it first. By 1800, this was the standard in German music. It took the rest of the world at least another fifty years to catch up to you. So you see, I'm not trying to force the stream of music into an unnatural streambed, I'm not trying to force it to flow uphill. Instead, I'm trying to guide you into the natural bed for your stream, but I'm trying to guide you to it now instead of several generations later."
    Hermann muttered again. Franz saw Marla lift an eyebrow, Hermann coughed, and said, "But it still sounds discordant."
    "Of course it does," Marla laughed. "It's a result of musical diplomacy. I once heard a definition of diplomacy that goes something like this: diplomacy is the art of leaving all interested parties equally dissatisfied. That's a perfect definition of equal temperament. All keys are slightly less than consonant, but importantly, all keys are equally dissonant. Once we accept that compromise, then the full artist's palette of tonalities is available to us."
    Franz smiled at her metaphor.
    "Believe me," Marla added, "I know exactly how discordant equal temperament is. I have absolute perfect pitch, so anything less than pure consonance grates on my ear. But, I will accept the minor discomfort that equal temperament causes in order to play things like this."
    She turned to the piano again, and began a piece in 3/4 time. It lilted and danced, almost like a stream flowing over rocks. The music flowed, with waterfall-like runs in it, broadened out to a more stately theme and treatment, then returned to the original style. Marla's fingers flew; the tempo ebbed and flowed, and finally began to move faster and faster until it trailed away under the right hand in the high treble keys.
    Once again dead silence reigned in the room, until it was broken by a collective sigh from the men. Marla turned to them, and said, "That was the Waltz in C# minor by Frederic Chopin, part of his Opus 64, one of the loveliest piano pieces ever written. The key has four sharps, and it probably couldn't be played in the Mean system."
    Looking around the room, she asked, "Any questions? Any comments?"
    "Excuse me, please, Signorina," Maestro Carissimi said.
    "Yes, sir?"
    "I understand what you say, and it makes clear much that I did wonder about. But is there not a . . . how would