Ma notation

From annawiki

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,
  • 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

extra for base 4

extra for base 8

extra for base 12

extra for base 16


????


Vowels


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)

Longitude

Longitudes run from 0 to 1 in westward direction.

Distance:

  • 0x0.1 = 360°/16 = 22.5°
  • 0x0.08 = 11.25°
  • 0x0.2 = 45°

http://anna.info/x/Peters_projection_-_Umnak_meridian_-_hextime.svg

Positions:

Ma ISO 6709 in ° ISO 6709 Comment
0 -168.75 -168°45' Umnak
0.4 78.75 Issyk Kul (Kyrgyzstan), Meerut, East of New Delhi (India), West of Sri Lanka
0.8 11.25 11°15' Florence
0.C -78.75 East of Panama Canal (Panama), West of Quito (Ecuador), Juan Fernandéz Islands (Chile)

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

Base unit: 1 earth day.

  • 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.

Frequency

Derived unit: 1/d

  • 1Hz = 86400/d = 1.318359375 /md [m = milli 1/65536]
  • 0x1/md = 0.75851851851 Hz
  • 0x200/md = 388.361481481 Hz

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 = 0x1 2^(-16) = 0x0.0001 1/(60*60*24) = 0.00001157407 G-21
0x1 2^1 = 0x2 2^(-15) = 0x0.0002 2^(-15)/(60*60*24) = G-20
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

Length

Base unit: 1 earth equator.

m = milli as 1/65536, k as 65536

  • 0x1 Q = 40 075 000 meter
  • 0x1 mQ ~ 611 meter
  • 0x0.1 mQ ~ 38.21849 meter
  • 0x0.01 mQ ~ 2.3886 meter
  • 0x0.001 mQ ~ 0.14929 meter
  • 0x0.0001 mQ ~ 0.009330688 meter ~ 9.33 mm = 0.933 cm
  • 1 AU = 149597870700/40075000 Q = 3732.94749095 Q ~ 0xE95 Q
  • 0x10000 Q = 1 kQ = 2.6263552e+12 m = 17.5561 AU
  • 1 light-year = 9460730472580800 meter = 9460730472580800/40075000 Q = 236075620.027 Q = 3602.22808879 kQ ~ 0xE12 kQ
  • MQ = 0x10000 kQ = 1.7212081e+17 m = 18.193184436 ly

Speed

Equator moves with 1 Q/d, i.e. 611 meter/1.32 seconds ~ 463 m/s ~ 1670 km/h.

  • .1 Q/d ~ 104 km/h
  • .08 Q/d ~ 52 km/h
  • .01 Q/d = 1 cQ/d ~ 6.52 km/h [c centi, as 1/256]

A precision 1 cQ/d should be sufficient for traffic signs, i.e. only two digits are needed.

Since 0.1 Q/d ~ 104 km/h, most signs will only need one digit. A speedometer in cars would count cQ/d [0.01 Q/d].

Light:

  • 299792458*24*60*60/40075000 = 646339.822114 Q/d = 9.86236300832 kQ/d

Chemical elements

Element symbols are derived from the atomic number. The numbers run from 1 to 118, the latter currently is the highest number of known elements.

118 in hex is 0x76, i.e. two digits are sufficient.

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