Ma notation: Difference between revisions
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==Pitch== | ===Pitch=== | ||
ETS = Equal-tempered scale with A4=435.921023988 Hz, which is 0.99072959997 of ISO 16 defined A4=440 Hz. | ETS = Equal-tempered scale with A4=435.921023988 Hz, which is 0.99072959997 of ISO 16 defined A4=440 Hz. | ||
Revision as of 2013-07-24T18:25:45
Overview
Ma notation is a notation of units, sounds and alike for human beings on the planet Earth.
Why
Maths
base 2
2 = 2^1
2 is the smallest value for the base in the operations of the hyperoperation sequence that results in values depending on the exponent b for all operations.
base 4
4 = 2^2 = 2*2 = 2+2 (exponentiation, multiplication, addition)
base 8
8 = 2^2^2
base 16
16 = 2^^2 (tetration)
Cycles that fit with the above bases
Cycle 4
Soccer World Cups, Regional Cups, Olympic Summer Games have a 4 year cycle.
Elections in some countries have a 4 year cycle.
Alphabet
Features
Sound groups:
- nasal = 2
- nasal + plosive = 8
- nasal + plosive + fricative = 16
In each of the groups nasal, plosive, fricative, the order labial, coronal, dorsal is followed.
Until
- 9,
- among 63 alphabets (http://en.wikipedia.org/wiki/Latin-derived_alphabet) the letters appear in 56
- 11,
- the Latin symbols have the value of the IPA, the symbols are pronounced similar in several languages
- 15,
- even positions are voiceless
- each voiceless is even
- uneven are voiced
List
Consonants
base 2
- M 0 NASAL - LABIAL Bilabial_nasal (Voiced)
- N 1 NASAL - CORONAL Alveolar_nasal (Voiced)
extra for base 4
- P 2 PLOSIVE - LABIAL Voiceless_bilabial_plosive
- B 3 PLOSIVE - LABIAL Voiced_bilabial_plosive
extra for base 8
- T 4 PLOSIVE - CORONAL Voiceless_alveolar_plosive
- D 5 PLOSIVE - CORONAL Voiced_alveolar_plosive
- K 6 PLOSIVE - DORSAL Voiceless_velar_plosive
- G 7 PLOSIVE - DORSAL Voiced_velar_plosive
extra for base 12
- F 8 FRICATIVE - LABIAL Voiceless_labiodental_fricative
- V 9 FRICATIVE - LABIAL Voiced_labiodental_fricative
- S 10 FRICATIVE - CORONAL Voiceless_alveolar_sibilant
- Z 11 FRICATIVE - CORONAL Voiced_alveolar_sibilant
extra for base 16
- Q 12 ʃ FRICATIVE - CORONAL Voiceless_palato-alveolar_sibilant
- Y 13 ʒ FRICATIVE - CORONAL Voiced_palato-alveolar_sibilant
- C 14 ç FRICATIVE - DORSAL Voiceless_palatal_fricative
- J 15 APPROX (ʝ FRICATIVE) - DORSAL Voiced_palatal_approximant
????
- X 16 FRICATIVE - DORSAL Voiceless_velar_fricative
- H 17 FRICATIVE - LARYNGEAL Voiceless_glottal_fricative
- R 18 TRILL - CORONAL Alveolar_trill voiced
- L 19 LATERAL-APPROX - CORONAL Alveolar_lateral_approximant voiced
Vowels
- A 0 a Open_front_unrounded_vowel
- Ä 1 ɛ Open-mid_front_unrounded_vowel
- E 2 e Close-mid_front_unrounded_vowel
- I 3 i Close_front_unrounded_vowel
- O 4 ɒ Open_back_rounded_vowel
- Ö 5 ɔ Open-mid_back_rounded_vowel
- U 6 o Close-mid_back_rounded_vowel
- Ü 7 u Close_back_rounded_vowel
Numeral system
Grouping
Use grouping by 4 like in East Asia Myriad http://en.wikipedia.org/wiki/Chinese_numerals#Large_numbers
Also for the part after the hexadecimal separator http://en.wikipedia.org/wiki/MOS:NUM#Delimiting_.28grouping_of_digits.29 has grouping by 3 (physics) and by 5 (maths). Unify these.
Naming
For naming of larger numbers use something like
- 2^4 = 10^1 = tip
- 10^2 = pip
- 10^3 = bip
- 10^4 = tip
| (10^4)^1 | NM^T^N | 1 0000 | (ni)tinum (n=1) | |
| (10^4)^2 | NM^T^P | 1 0000 0000 | squared myriad | pitinum (p=2) |
| (10^4)^3 | NM^T^B | 1 0000 0000 0000 | cubic myriad | bitinum (b=3) |
| (10^4)^4 | NM^T^T | 1 0000 0000 0000 0000 | quartic myriad | titinum (t=4) |
Unit prefixes
- kilo-gram ~ niti-gram
- mega-gram ~ piti-gram
- niti-joule, piti-joule
- piti-byte
Finger counting
Place
Coordinates
"The Argadorian Date Line (ADL = Argadora Datolinio / Argadorian Date Line) runs along the Argadorian Prime Meridian, which lies on 168,5° (= 168°30') longitude west of Greenwich. This meridian together with an area of maybe about ¼° on both sides of it touches as the, according to my knowledge, only meridian in its course only one small land mass other than Antarctica (= Aoiketa ≈ Nota), namely the Aleutian island Umnak. Apart from these, it runs solely through the Pacific Ocean. As far as I know, there are no other meridians which touch as few lands inhabited by humans as those between approximatly 168¼º and 168¾° longitude west of Greenwich." (http://www.reissmann.info/bibliotheke/projektoi/AUXhA%20--%2019372-07-06%20=%202006-03-25%20--%20Argadorian%20Calendar%20--%20en.pdf)
Compass direction
| Hex | English | English acronym | Level |
|---|---|---|---|
| .0 | North | N | 1 |
| .1 | North-northeast | NNE | 4 |
| .2 | Northeast | NE | 3 |
| .3 | East-northeast | ENE | 4 |
| .4 | East | E | 2 |
| .5 | East-southeast | ESE | 4 |
| .6 | Southeast | SE | 3 |
| .7 | South-southeast | SSE | 4 |
| .8 | South | S | 1 |
| .9 | South-southwest | SSW | 4 |
| .A | Southwest | SW | 3 |
| .B | West-southwest | WSW | 4 |
| .C | West | W | 2 |
| .D | West-northwest | WNW | 4 |
| .E | Northwest | NW | 3 |
| .F | North-northwest | NNW | 4 |
Time
- 1 hexsec = 1 day / 2^16 = 24*60*60 sec / 2^16 = (86400/65536) sec = 1.318359375 sec
Clock
See also: Ma circle
| Hex | hexsec base 16 |
hexsec base 10 |
Traditional | |||
|---|---|---|---|---|---|---|
| 1 | = | 10000 | = | 65536 | = | 24 h |
| 0.1 (hex hour) | = | 1000 | = | 4096 | = | 1 h 30 min |
| 0.01 | = | 100 | = | 256 | = | 5 min 37.5 sec |
| 0.001 (hex minute) | = | 10 | = | 16 | ≈ | 21.09 sec |
| 0.0001 (hex second) | = | 1 | = | 1 | ≈ | 1.32 sec |
| 0.c23 | ≈ | 0.759 | ≈ | 1 sec |
| Hex | ISO 8601 | Comment |
|---|---|---|
| .0100 | 00:05:37.5 | |
| .0200 | 00:11:15 | |
| .0400 | 00:22:30 | |
| .0800 | 00:45:00 | |
| .1000 | 01:30:00 | 1.5÷24 = 1÷16 = 0.1 |
| .8000 | 12:00:00 | 12÷24 = 8÷16 = 0.8 |
| .F000 | 22:30:00 | 22.5÷24 = 15÷16 = 0.F |
| .F800 | 23:15:00 |
Epoch
Avoid negative year numbers for years since -49152 CE.
| ISO (CE) | HE | hex | Note |
|---|---|---|---|
| -49152 | 0 | 0 | |
| -45056 | 4096 | 1000 | first four digit year in hex |
| -39152 | 10000 | 2710 | |
| -9830 | 39322 | 999A | starting with that year all 4-character hex notations until FFFF will include a letter and distinguish the notation from other systems of year notation. |
| -9040 | 40960 | A000 | starting with that year, all 4-character hex notations until FFFF will start with a letter and distinguish the notation even better from other systems of year notation. |
| -5020 | 44032 | AC00 | |
| -4096 | 45056 | B000 | Start of the Bxxx-years. |
| 0 | 49152 | C000 | until 4095 CE all years start with the letter C. The Cxxx-years. |
| 1792 | 50944 | C700 | |
| 2000 | 51152 | C7D0 | |
| 2048 | 51200 | C800 | |
| 4096 | 53248 | D000 | the upcoming change of the first character in 4-digit notation, the Dxxx-years |
| 10000 | 59152 | E710 | CE calendar needs 5 digits |
| 16383 | 65535 | FFFF | the last year that can be expressed with 4 digits in hex notation. |
Pitch
ETS = Equal-tempered scale with A4=435.921023988 Hz, which is 0.99072959997 of ISO 16 defined A4=440 Hz.
A4@440 Hz : 440*(60*60*24) cycles per day = 38016000 cpd. That is 2^(25.1801034055) cpd, in hex notation 2^(0x19.2E1B41BC854E556FEB6CC2).
| 2^(...) | Oscillation per day | Oscillation per hexsec (day/65536) | Hz | ETS |
|---|---|---|---|---|
| 0x0 | 2^0 = 0x0 | 2^(-16) = 1 | 1/(60*60*24) = 0.00001157407 | G-21 |
| 0x10 | 2^16 = 0x 1 0000 | 2^0 = 1 = 0x1 | (2^16)/(60*60*24) = 0.75851851851 | G-5 |
| 0x14 | 2^20 = 0x 10 0000 | 2^4 = 16 = 0x10 | (2^20)/(60*60*24) = 12.1362962963 | G-1 |
| 0x15 | 2^21 = 0x 20 0000 | 2^5 = 32 = 0x20 | (2^21)/(60*60*24) = 24.2725925926 | G0 |
| 0x16 | 2^22 = 0x 40 0000 | 2^6 = 64 = 0x40 | (2^22)/(60*60*24) = 48.5451851852 | G1 |
| 0x17 | 2^23 = 0x 80 0000 | 2^7 = 128 = 0x80 | (2^23)/(60*60*24) = 97.0903703704 | G2 |
| 0x18 | 2^24 = 0x 100 0000 | 2^8 = 256 = 0x100 | (2^24)/(60*60*24) = 194.180740741 | G3 |
| 0x19 | 2^25 = 0x 200 0000 | 2^9 = 512 = 0x200 | (2^25)/(60*60*24) = 388.361481481 | G4 |
| 0x19.155555555 | 2^25*2^(1/12) | 2^9*2^(1/12)=542.445104312 | (2^25)/(60*60*24)*2^(1/12) = 411.4546569 | Gis4 |
| 0x19.2AAAAAAAA | 2^25*2^(2/12) | 2^9*2^(2/12)=574.700568734 | (2^25)/(60*60*24)*2^(2/12) = 435.921023988 | A4 |
| 0x19.4 | 2^25*2^(3/12)=2^(25.25) | 2^9*2^(3/12)=2^(9.25)=608.874042881 | (2^25)/(60*60*24)*2^(3/12) = 461.842236971 | Ais4 |
| 0x19.55555555 | 2^25*2^(4/12) | 2^9*2^(4/12)=645.079577546 | (2^25)/(60*60*24)*2^(4/12) = 489.304805487 | B4 |
| 0x19.6AAAAAAAA | 2^25*2^(5/12) | 2^9*2^(5/12)=683.438005335 | (2^25)/(60*60*24)*2^(5/12) = 518.400383306 | C4 |
| 0x19.8 | 2^25*2^(6/12)=2^(25.5) | 2^9*2^(6/12)=724.077343935 | (2^25)/(60*60*24)*2^(6/12) = 549.226074214 | Cis4 |
| 0x20 | 2^26 = 0x 400 0000 | 2^10 = 1024 = 0x400 | (2^26)/(60*60*24) = 776.722962963 | G4 |