At the prison near my office, I often saw people waving their arms and hands around vigorously. I thought they were just more crazy homeless people asking for my change, but when I got closer I noticed they were using sign language to communicate with inmates on the upper floors of the prison.
It is troubling that prisoners can smuggle something as large as a cellphone (I shudder to think *how* they do it), but inmates will no doubt find other ways to communicate with the outside world.
Actually, one of the first keynote speeches involved organizing Western scale patterns frequently used by composers into higher-dimensional geometric figures:
In my talk, I will describe five properties that help make music sound tonal â" or âoegood,â to most listeners. I will then show that combining these properties is mathematically non-trivial, with the consequence that space of possible tonal musics is severely constrained. This leads me to construct higher-dimensional geometrical representations of musical structure, in which it is clear how the various properties can be combined. Finally, I will show that Western music combines these five properties at two different temporal levels: the immediate level of the chord, and the long-term level of the scale. The resulting music is hierarchically self-similar, exploiting the same basic procedures on two different time scales. In fact, one and the same twisted cubic lattice describes the musical relationships among common chords and scales.
Time is dilated by gravity, so perhaps are we seeing a further proof of Special relativity?
No because both the observer and the observed are experiencing the same gravitational magnitude. When time does "slow down," it occurs for both us and the material.
Slashdot Mirror
At the prison near my office, I often saw people waving their arms and hands around vigorously. I thought they were just more crazy homeless people asking for my change, but when I got closer I noticed they were using sign language to communicate with inmates on the upper floors of the prison. It is troubling that prisoners can smuggle something as large as a cellphone (I shudder to think *how* they do it), but inmates will no doubt find other ways to communicate with the outside world.
In my talk, I will describe five properties that help make music sound tonal â" or âoegood,â to most listeners. I will then show that combining these properties is mathematically non-trivial, with the consequence that space of possible tonal musics is severely constrained. This leads me to construct higher-dimensional geometrical representations of musical structure, in which it is clear how the various properties can be combined. Finally, I will show that Western music combines these five properties at two different temporal levels: the immediate level of the chord, and the long-term level of the scale. The resulting music is hierarchically self-similar, exploiting the same basic procedures on two different time scales. In fact, one and the same twisted cubic lattice describes the musical relationships among common chords and scales.
In fact, Western music is very algorithmic.
Time is dilated by gravity, so perhaps are we seeing a further proof of Special relativity?
No because both the observer and the observed are experiencing the same gravitational magnitude. When time does "slow down," it occurs for both us and the material.