Godtone
Joined 17 December 2020
m →Favourite EDOs: added 72 EDO (Keenanismic Hemiennealimmal) as a favourite, plus minor edits |
m →Number symbolism: small additions and changes |
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'''1''' : Unity, simplicity & wholeness (obviously). The ultimate source/root. The Formless. The first Form. | '''1''' : Unity, simplicity & wholeness (obviously). The ultimate source/root. The Formless. The first Form. | ||
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'''2''' : Duality (obviously), contrast, distinction; the first prime number, and thus the first pure essence (assuming we don't count 1 as a pure essence). The source of the most basic/primitive/trivial kinds of order. | '''2''' : Duality (obviously), contrast, distinction; the first prime number, and thus the first pure essence (assuming we don't count 1 as a pure essence). The source of the most basic/primitive/trivial kinds of order. As such, it is a fundamental organising order from which more complex orders can be judged through (imperfect and careful) assumptions of [[octave equivalence]], and to a lesser extent, [[octave complement]]s, both of which specifically make sense in the context of approximating simple ratios in [[EDO]]s ([[Neji|or vice versa]]). 2 notes is a dyad and specifies an [[User:Godtone#Intervals|interval]]. | ||
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'''3''' : Trinity (obviously) and stability - due to each element helping define and stabilise the other two in relation to each-other; think of how the triangle is the strongest shape for scaffolding. Thus represents a place of completeness and strength, and sometimes | '''3''' : Trinity (obviously) and stability - due to each element helping define and stabilise the other two in relation to each-other; think of how the triangle is the strongest shape for scaffolding. Thus represents a place of completeness and strength, and thus sometimes also of rest due to its stability. (It is a pure essence due to being prime.) 3 notes is a triad - the most primitive kind of [[User:Godtone#Chords|chord]] - with 3 inversions that maximise closeness of notes all having at least subtly different but generally similar meanings. (See the subsection on inversions.) | ||
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'''4''' : The tetrahedron (AKA 3-simplex) | '''4''' : The first composite number. The tetrahedron (AKA 3-simplex) with its 6 edges is an important 3D and general mathematical shape (a musically notable instance is its relation to the structure of tetrads AKA 4-note chords). Thus represents the 3 spatial dimensions or the 3 dimensions of space paired with 1 dimension of time. The tetrahedron is a strong shape due to being made of 4 triangles which all share a unique 3 point subset of a set of 4 points, thus 4 similarly represents a place of completeness, strength and sometimes rest, but can be sharp/hazardous partly due to containing repeated duality (this applies (at least to small extent) to all numbers with powers of 2 in their prime factorisations) and thus pitfalls/negations of the ideal (as duality creates negation). Thus represents the Earth/its likeness (AKA the material world) and thus also represents the limitations of the Earth. Interestingly, melody seems to only be registered by the human mind (or at least mine) in (approximately) 2 octaves of pitch space, as beyond that, melody doesn't have as much meaning and the timbre starts to take over. Because of its limiting nature (being the primitive order of the Earth), it can also be thought of as a number of death. | ||
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'''5''' : The number of sides of a square-based pyramid, which has 4 triangular sides and thus similar stability. 6 square based pyramids form a cube which tiles 3D space, and where squares themselves tile 2D space. Additionally, pentagons are the last 2D regular convex polygon for which you can join 3 to each-other and get something 3D, and thus 5 is also related to the dodecahedron, and thus the number 12. Also the 4 points of a tetrahedron with an added/unifying centre, thus representing Earthly dualities that have had their pitfalls tempered through unification through an ideal | '''5''' : The number of sides of a square-based pyramid, which has 4 triangular (but not necessarily regular/fully symmetric) faces/sides and thus similar stability but with far more orientedness, both because of the shape and because it is a pure essence due to being prime, and can strongly suggest a harmonic fundamental to the point of encouraging a sense of transparency and orientation. Also the number of vertices/corners of a square-based pyramid. 6 square based pyramids form a cube which tiles 3D space, and where squares themselves tile 2D space. 2 square-based pyramids form an octahedron - the dual of a cube. Additionally, pentagons are the last 2D regular convex polygon for which you can join 3 mutually to each-other and get something 3D, and thus 5 is also related to the dodecahedron, and thus the number 12. Also the 4 points of a tetrahedron with an added/unifying centre (which could be interpreted to be at a distance in a 4th dimension thus forming a 4-simplex, in which case it is projected like a shadow into the Earth), thus representing Earthly dualities that have had their pitfalls tempered through unification through an ideal (which is perhaps not fully of the Earth), thus representing construction upwards to something better, using what is available. Thus represents the pure essence of The Transcendent's grace, benevolence and revitalisation on the Earth, AKA the first/simplest form of transcendence from/beyond the Earth (as it is 4+1), although not a complete/sufficient one for transcendence on its own. Also of course strongly related to pentads (AKA 5-note chords), and due to the combinatorics therein (which relate to the 4-simplex), to the number 10. | ||
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