Tonal System (Nystrom)
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Tonal System (Nystrom)
The tonal system is a base 16 system of notation (predating the widespread use of hexadecimal in computing), arithmetic, and metrology proposed in 1859 by John W. Nystrom.Nystrom, John W.''Project of a New System of Arithmetic, Weight, Measure and Coins, Proposed to be Called the Tonal System, with Sixteen to the Base''/ref> In addition to new weights and measures, his proposal included a new calendar with sixteen months, a new system of Currency, coinage, and a hexadecimal clock, clock with sixteen major divisions of the day (called tims). Nystrom advocated his system thus: Names for the numbers He proposed names for the digits, calling zero "noll" and counting (from one to sixteen): "An,  de,  ti,  go,  su,  by,  ra,  me,  ni,  ko,  hu,  vy,  la,  po,  fy,  ton." (Therefore, ''ton''al system.) Because hexadecimal requires sixteen digits, Nystrom supplemented the existing decimal digits 0 through 9 w ...
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Hexadecimal Clock By Nystrom
Hexadecimal (also known as base-16 or simply hex) is a positional numeral system that represents numbers using a radix (base) of sixteen. Unlike the decimal system representing numbers using ten symbols, hexadecimal uses sixteen distinct symbols, most often the symbols "0"–"9" to represent values 0 to 9 and "A"–"F" to represent values from ten to fifteen. Software developers and system designers widely use hexadecimal numbers because they provide a convenient representation of binary-coded values. Each hexadecimal digit represents four bits (binary digits), also known as a nibble (or nybble). For example, an 8-bit byte is two hexadecimal digits and its value can be written as to in hexadecimal. In mathematics, a subscript is typically used to specify the base. For example, the decimal value would be expressed in hexadecimal as . In programming, several notations denote hexadecimal numbers, usually involving a prefix. The prefix 0x is used in C, which would denote this v ...
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North Pole
The North Pole, also known as the Geographic North Pole or Terrestrial North Pole, is the point in the Northern Hemisphere where the Earth's rotation, Earth's axis of rotation meets its surface. It is called the True North Pole to distinguish from the North magnetic pole, Magnetic North Pole. The North Pole is by definition the northernmost point on the Earth, lying antipode (geography), antipodally to the South Pole. It defines geodetic latitude 90° North, as well as the direction of true north. At the North Pole all directions point south; all lines of longitude converge there, so its longitude can be defined as any degree value. No time zone has been assigned to the North Pole, so any time can be used as the local time. Along tight latitude circles, counterclockwise is east and clockwise is west. The North Pole is at the center of the Northern Hemisphere. The nearest land is usually said to be Kaffeklubben Island, off the northern coast of Greenland about away, though ...
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Concert Pitch
Concert pitch is the pitch reference to which a group of musical instruments are tuned for a performance. Concert pitch may vary from ensemble to ensemble, and has varied widely over time. The ISO defines international standard pitch as A440, setting 440 Hz as the frequency of the A above middle C. Frequencies of other notes are defined relative to this pitch. The written pitches for transposing instruments do not match those of non-transposing instruments. For example, a written C on a B clarinet or trumpet sounds as a non-transposing instrument's B. The term "concert pitch" is used to refer to the pitch on a non-transposing instrument, to distinguish it from the transposing instrument's written note. The clarinet or trumpet's written C is thus referred to as "concert B". Modern standard concert pitch The A above middle C is often set at the international standard of 440 Hz. Historically, this A has been tuned to a variety of different pitches. History of pitch standards ...
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Nystrom Tonal System
Nystrom is a surname of Danish, Norwegian and Swedish origin. Alternative spelling include Nyström, Nystrøm, and Nystroem. Notable people with these surnames include: Nystrom * Anna Nystrom (1849–1913), Swedish missionary in the Caucasus, Persia, and Xinjiang, China *Bob Nystrom (born 1952), Swedish-Canadian retired professional ice hockey right-winger * Dave Nystrom, Canadian comedian and writer * Drew Nystrom, American football coach * Eric Nystrom (born 1983), American ice hockey player * John W. Nystrom, Swedish-American engineer who proposed a hexadecimal system * Karl F. Nystrom, American railroad engineer at the Milwaukee Road * Kyle Nystrom, American football coach * Lorne Nystrom, Canadian politician * Mae Taylor Nystrom, American suffragist *Paul Nystrom, American professor of marketing at Columbia University * Stefan Nystrom, Australian criminal (supposed) Nyström * Anders Nyström, Swedish rock musician * Ann-Christine Nyström, Finnish singer * Bob Nystrà ...
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45th Parallel South
Following are circles of latitude between the 40th parallel south and the 45th parallel south: 41st parallel south The 41st parallel south is a circle of latitude that is 41 degrees south of the Earth's equatorial plane. It crosses the Atlantic Ocean, the Indian Ocean, Australasia, the Pacific Ocean and South America. At this latitude the sun is visible for 15 hours, 8 minutes during the December solstice and 9 hours, 13 minutes during the June solstice. Around the world Starting at the Prime Meridian and heading eastwards, the parallel 41° south passes through: : 42nd parallel south The 42nd parallel south is a circle of latitude that is 42 degrees south of the Earth's equatorial plane. It crosses the Atlantic Ocean, the Indian Ocean, Australasia, the Pacific Ocean and South America. At this latitude the sun is visible for 15 hours, 15 minutes during the December solstice and 9 hours, 7 minutes during the June solstice. The alcohol brand 42 Below was named in part ...
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Parallel 45° North
The 45th parallel north is a circle of latitude that is 45 degrees north of Earth's equator. It crosses Europe, Asia, the Pacific Ocean, North America, and the Atlantic Ocean. The 45th parallel north is often called the halfway point between the equator and the North Pole, but the true halfway point is north of it (approximately between 45°08'36" and 45°08'37") because Earth is an oblate spheroid; that is, it bulges at the equator and is flattened at the poles. At this latitude, the sun is visible for 15 hours 37 minutes during the summer solstice, and 8 hours 46 minutes during the winter solstice. The midday Sun stands 21.6° above the southern horizon at the December solstice, 68.4° at the June solstice, and exactly 45.0° at either equinox A solar equinox is a moment in time when the Sun appears directly above the equator, rather than to its north or south. On the day of the equinox, the Sun appears to rise directly east and set directly west. This occurs twice e ...
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ISO 6709
ISO 6709, ''Standard representation of geographic point location by coordinates'', is the international standard for representation of latitude, longitude and altitude for geographic point locations. The first edition () was developed by ISO/IEC JTC 1/SC 32. Later the standard was transferred to ISO/TC211, ''Geographic information/Geomatics'' in 2001. The committee completely revised the second edition (). There was a short technical corrigendum () released in 2009. The third edition was published in 2022. The second edition consists of a main part and eight annexes (Annexes A through H). The main part and Annexes A and C give encoding-independent general rules to define items to specify geographic point(s). Annex D suggests a display style for human interface. Annexes F and G suggest styles of XML expression. Annex H suggests string expression, which supersedes the first edition of the standard. General rules Items A geographical point is specified by the followi ...
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Turn (geometry)
The turn (symbol tr or pla) is a unit of plane angle measurement that is the measure of a complete angle—the angle subtended by a complete circle at its center. One turn is equal to  radians, 360  degrees or 400  gradians. As an angular unit, one turn also corresponds to one cycle (symbol cyc or c) or to one revolution (symbol rev or r). Common related units of frequency are '' cycles per second'' (cps) and '' revolutions per minute'' (rpm). The angular unit of the turn is useful in connection with, among other things, electromagnetic coils (e.g., transformers), rotating objects, and the winding number of curves. Divisions of a turn include the half-turn and quarter-turn, spanning a straight angle and a right angle, respectively; metric prefixes can also be used as in, e.g., centiturns (ctr), milliturns (mtr), etc. In the ISQ, an arbitrary "number of turns" (also known as "number of revolutions" or "number of cycles") is formalized as a dimensionless ...
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Colatitude
In a spherical coordinate system, a colatitude is the complementary angle of a given latitude, i.e. the difference between a right angle and the latitude. In geography, Southern latitudes are defined to be negative, and as a result the colatitude is a non-negative quantity, ranging from zero at the North pole to 180° at the South pole. The colatitude corresponds to the conventional 3D polar angle in spherical coordinates, as opposed to the latitude as used in cartography. Examples Latitude and colatitude sum up to 90°. Astronomical use The colatitude is most useful in astronomy because it refers to the zenith distance of the celestial poles. For example, at latitude 42°N, for Polaris (approximately on the North celestial pole), the distance from the zenith (overhead point) to Polaris is . Adding the declination of a star to the observer's colatitude gives the maximum altitude of that star (its angle from the horizon at culmination or upper transit). For example, if Alph ...
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South Pole
The South Pole, also known as the Geographic South Pole or Terrestrial South Pole, is the point in the Southern Hemisphere where the Earth's rotation, Earth's axis of rotation meets its surface. It is called the True South Pole to distinguish from the south magnetic pole. The South Pole is by definition the southernmost point on the Earth, lying antipode (geography), antipodally to the North Pole. It defines geodetic latitude 90° South, as well as the direction of true south. At the South Pole all directions point North; all lines of longitude converge there, so its longitude can be defined as any degree value. No time zone has been assigned to the South Pole, so any time can be used as the local time. Along tight latitude circles, clockwise is east and counterclockwise is west. The South Pole is at the center of the Southern Hemisphere. Situated on the continent of Antarctica, it is the site of the United States Amundsen–Scott South Pole Station, which was established in 19 ...
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Equator
The equator is the circle of latitude that divides Earth into the Northern Hemisphere, Northern and Southern Hemisphere, Southern Hemispheres of Earth, hemispheres. It is an imaginary line located at 0 degrees latitude, about in circumference, halfway between the North Pole, North and South Pole, South poles. The term can also be used for any other celestial body that is roughly spherical. In three-dimensional space, spatial (3D) geometry, as applied in astronomy, the equator of a rotating spheroid (such as a planet) is the parallel (circle of latitude) at which latitude is defined to be 0°. It is an imaginary line on the spheroid, equidistant from its geographical pole, poles, dividing it into northern and southern hemispheres. In other words, it is the intersection of the spheroid with the plane (geometry), plane perpendicular to its axis of rotation and midway between its geographical poles. On and near the equator (on Earth), noontime sunlight appears almost directly o ...
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Hexadecimal Compass By Nystrom
Hexadecimal (also known as base-16 or simply hex) is a positional numeral system that represents numbers using a radix (base) of sixteen. Unlike the decimal system representing numbers using ten symbols, hexadecimal uses sixteen distinct symbols, most often the symbols "0"–"9" to represent values 0 to 9 and "A"–"F" to represent values from ten to fifteen. Software developers and system designers widely use hexadecimal numbers because they provide a convenient representation of binary-coded values. Each hexadecimal digit represents four bits (binary digits), also known as a nibble (or nybble). For example, an 8-bit byte is two hexadecimal digits and its value can be written as to in hexadecimal. In mathematics, a subscript is typically used to specify the base. For example, the decimal value would be expressed in hexadecimal as . In programming, several notations denote hexadecimal numbers, usually involving a prefix. The prefix 0x is used in C, which would denote this v ...
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