Ma notation: Difference between revisions

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| the last year that can be expressed with 4 digits in hex notation.
| the last year that can be expressed with 4 digits in hex notation.
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The year starts on the day of the Northward equinox. The length of Northward equinox solar year is relatively stable in the time from 6000 BCE to 10000 CE at 47:37 to 49:20 in excess of 365 days and 5 hours. The other equinox and the solstice years are less stable.
That means, the year starts on what is March 20 in ISO 8601.


===Frequency===
===Frequency===

Revision as of 2013-07-31T05:10:06

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

Latitude

As degrees:

Ma ISO 6709 Comment
0.4 90° North Pole
0.3 67.5°
0.2 45°
0.1 22.5°
0 0 equator
-0.1 -22.5°
-0.2 -45°
-0.3 -22.5°
-0.4 -90° South Pole

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
.1 168.75
.2 146.25 Wilsons Promontory N.P., Tasmania
.3 123.75
.4 101.25
.5 78.75 Issyk Kul (Kyrgyzstan), Meerut, East of New Delhi (India), West of Sri Lanka
.6 56.25
.7 33.75 Krym, Lake Victoria
.8 11.25 11°15' Florence
.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.

The year starts on the day of the Northward equinox. The length of Northward equinox solar year is relatively stable in the time from 6000 BCE to 10000 CE at 47:37 to 49:20 in excess of 365 days and 5 hours. The other equinox and the solstice years are less stable.

That means, the year starts on what is March 20 in ISO 8601.

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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