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A different term, proper distance, provides an invariant measure whose value is the same for all observers. Proper distance is analogous to proper time. The difference is that the proper distance is defined between two spacelike-separated events (or along a spacelike path), while the proper time is defined between two timelike-separated events ...
On this usage, comoving and proper distances are numerically equal at the current age of the universe, but will differ in the past and in the future; if the comoving distance to a galaxy is denoted , the proper distance () at an arbitrary time is simply given by = where () is the scale factor (e.g. Davis & Lineweaver 2004). [2]
The proper time interval between two events on a world line is the change in proper time, which is independent of coordinates, and is a Lorentz scalar. [1] The interval is the quantity of interest, since proper time itself is fixed only up to an arbitrary additive constant, namely the setting of the clock at some event along the world line.
The binary digits read as ascending pitches from right to left, which some find discombobulating because they are used to low to high reading left to right, as on a piano keyboard. In this scheme, the major scale is 101010110101 = 2741.
Meter animates time in regular pulse groupings, called measures or bars, which in Western classical, popular, and traditional music often group notes in sets of two (e.g., 2/4 time), three (e.g., 3/4 time, also known as Waltz time, or 3/8 time), or four (e.g., 4/4 time). Meters are made easier to hear because songs and pieces often (but not ...
In music, duration is an amount of time or how long or short a note, phrase, section, or composition lasts. " Duration is the length of time a pitch, or tone, is sounded." [ 1 ] A note may last less than a second, while a symphony may last more than an hour.
Clear quarter note pulse in 4 4 at a tempo of =120 Play ⓘ.At =600 the pulse becomes a drone Play ⓘ, while at =30 the pulse becomes disconnected sounds Play ⓘ.. While ideal pulses are identical, when pulses are variously accented, this produces two- or three-pulse pulse groups such as strong–weak and strong–weak–weak [4] and any longer group may be broken into such groups of two and ...
Cosmo0 is right about confusion over "comoving distance" vs. "proper distance". The sentence in the article, "The comoving distance from an observer to a distant object (e.g. galaxy) can be computed by the following formula:" should read, "The proper distance from an observer to a distant object (e.g. galaxy) can be computed by the following ...