# Thread: Small groups (of 4 types) : they are 140

1. ## Small groups (of 4 types) : they are 140.

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If types are 16 and are caracterised by 15 orthogonal dichotomies, orthogonal quaternions would be exactly 140.

Some of them are well-known and named, (especially quadras, attitudes, temperaments, and rings of supervision), but some do not yet have an official name.

The socion is itself a Sedenion.

Octonionic masks (dichotomies) are 15, so the socion has 30 Octonions. (for example, the Sensory octonion has 8 types)
Quaternionic masks are 35, so the socion has 140 Quaternions. (for example, the Pragmatist (ST) quaternion has 4 types)

2. ## Small groups (of 4 types) : they are 140.

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If types are 16 and are caracterised by 15 orthogonal dichotomies, orthogonal quaternions would be exactly 140.

Some of them are well-known and named, (especially quadras, attitudes, temperaments, and rings of supervision), but some do not yet have an official name.

The socion is itself a Sedenion.

Octonionic masks (dichotomies) are 15, so the socion has 30 Octonions. (for example, the Sensory octonion has 8 types)
Quaternionic masks are 35, so the socion has 140 Quaternions. (for example, the Pragmatist (ST) quaternion has 4 types)

3. That's very simple :

Each quaternionic mask is composed of three dichotomies.

For example, Clubs :

Dichotomy 1 : Sensory/Intuitive
Dichotomy 2 : Logical/Ethical
Dichotomy 3 : Individualistic/Collectivistic (aka Democratic/Aristocratic)

Quadras are : Judicious / Resolute - Objectivist/Subjectivist - Individualistic/Collectivistic
Temperaments are : Introtim / Extrotim - Perceiving / Judging - Static / Dynamic
Supervision rings are : Static / Dynamic - Process / Result - Negativist / Positivist

4. That's very simple :

Each quaternionic mask is composed of three dichotomies.

For example, Clubs :

Dichotomy 1 : Sensory/Intuitive
Dichotomy 2 : Logical/Ethical
Dichotomy 3 : Individualistic/Collectivistic (aka Democratic/Aristocratic)

Quadras are : Judicious / Resolute - Objectivist/Subjectivist - Individualistic/Collectivistic
Temperaments are : Introtim / Extrotim - Perceiving / Judging - Static / Dynamic
Supervision rings are : Static / Dynamic - Process / Result - Negativist / Positivist

5. On that article :

X1 E/I
X2 Statics/Dynamics
X4 Positivist/Negativist
X5 T/F
X6 S/N
X7 Constructivist/Emotivist
X8 Tactical/Strategical
X9 Process/Result
X10 J/P
X11 Incidental/Calculating (Carefree/Farsighted)
X12 Resource/Interest (Compliant/Obstinate)
X13 Objective/Subjective
X14 Judicious/Resolute
X15 Individualistic/Collectivistic (Democratic/Aristocratic)

We should build 35 tetratomies from those 15 dichotomies. They could be named Y1 to Y35.

6. On that article :

X1 E/I
X2 Statics/Dynamics
X4 Positivist/Negativist
X5 T/F
X6 S/N
X7 Constructivist/Emotivist
X8 Tactical/Strategical
X9 Process/Result
X10 J/P
X11 Incidental/Calculating (Carefree/Farsighted)
X12 Resource/Interest (Compliant/Obstinate)
X13 Objective/Subjective
X14 Judicious/Resolute
X15 Individualistic/Collectivistic (Democratic/Aristocratic)

We should build 35 tetratomies from those 15 dichotomies. They could be named Y1 to Y35.

7. Interesting. How about making a table for easy reference? Which types are strategists, which obstinate, etc.

8. Interesting. How about making a table for easy reference? Which types are strategists, which obstinate, etc.

9. Originally Posted by mikemex
Interesting. How about making a table for easy reference? Which types are strategists, which obstinate, etc.
You mean - a table like this ?

10. Originally Posted by mikemex
Interesting. How about making a table for easy reference? Which types are strategists, which obstinate, etc.
You mean - a table like this ?

11. Wonderful, except that I highly doubt ENFp is tactical and ISTp strategical. It seems to me like the opposite...

12. Wonderful, except that I highly doubt ENFp is tactical and ISTp strategical. It seems to me like the opposite...

13. Originally Posted by mikemex
Wonderful, except that I highly doubt ENFp is tactical and ISTp strategical. It seems to me like the opposite...
Originally Posted by Reinin
SP and NJ are Strategical
SJ and NP are Tactical
Originally Posted by Talanov
Strategical means balanced Intuition and unbalanced Sensing
Tactical means balanced Sensation and unbalanced Intuition
Tactical (NP SJ):
1.Focus on the actions to be performed, with the goal unsettled.
2.a. Their goal is defined by how well it fits with their methods.
b. Their goal is modified according to their methods.
3.All possibilities are given equal weight.
4.Avoid setting long-term goals, and if they find their actions directed towards a specific goal, they may feel 'down' upon reaching it. Accordingly, they are not inclined to have a specific purpose for what they do (other than, e.g., “curiosity”).
5.Manipulate methods – examine and compare methods to find the best.
6.“For each choice you make, there are several more to come. There is time to find a purpose along the way.”

Strategic (NJ SP):
1.Focus on the goal to reach, with the actions to get there unsettled.
2.a. Their methods are defined by how well they fit their goal.
b. Their methods are modified according to their goal.
3.What DID happen is given more weight than what COULD have happened, and more weight is given to those events that had the most effect on the current situation.
4.Feel uncomfortable if forced to deviate from their goals, or if they find themselves without purpose. Accordingly, they rarely function without a purpose.
5.Manipulate goals – examine and compare goals and put them into a hierarchy.
6.“The point is not whether a task is important or not, but the reason for its doing.”

14. Originally Posted by mikemex
Wonderful, except that I highly doubt ENFp is tactical and ISTp strategical. It seems to me like the opposite...
Originally Posted by Reinin
SP and NJ are Strategical
SJ and NP are Tactical
Originally Posted by Talanov
Strategical means balanced Intuition and unbalanced Sensing
Tactical means balanced Sensation and unbalanced Intuition
Tactical (NP SJ):
1.Focus on the actions to be performed, with the goal unsettled.
2.a. Their goal is defined by how well it fits with their methods.
b. Their goal is modified according to their methods.
3.All possibilities are given equal weight.
4.Avoid setting long-term goals, and if they find their actions directed towards a specific goal, they may feel 'down' upon reaching it. Accordingly, they are not inclined to have a specific purpose for what they do (other than, e.g., “curiosity”).
5.Manipulate methods – examine and compare methods to find the best.
6.“For each choice you make, there are several more to come. There is time to find a purpose along the way.”

Strategic (NJ SP):
1.Focus on the goal to reach, with the actions to get there unsettled.
2.a. Their methods are defined by how well they fit their goal.
b. Their methods are modified according to their goal.
3.What DID happen is given more weight than what COULD have happened, and more weight is given to those events that had the most effect on the current situation.
4.Feel uncomfortable if forced to deviate from their goals, or if they find themselves without purpose. Accordingly, they rarely function without a purpose.
5.Manipulate goals – examine and compare goals and put them into a hierarchy.
6.“The point is not whether a task is important or not, but the reason for its doing.”

15. Let's call X1 to X9 : 1 to 9 - and X10 to X15 : A to F.

There are 35 tetratomic masks, let's call them Y01 to Y35 :

Y02 - FCB - Mobilisation Group
Y03 - FA9 - Blocking Group
Y04 - F87 -
Y05 - F65 - Club
Y06 - F41 - Dual Activation Group
Y07 - F32 - Labyrinth
Y08 - E81 -
Y09 - E62 - Group of world view, or of Gulenko's Unclean Attitudes
Y10 - E53 -
Y11 - E74 -
Y12 - EC9 -
Y13 - EBA - Square
Y14 - D71 -
Y15 - D52 - Group of modus operandi
Y16 - D63 -
Y17 - D84 -
Y18 - DB9 -
Y19 - DCA - Business Square
Y20 - C51 - Communicability Group
Y21 - C72 -
Y22 - C83 -
Y23 - C64 -
Y24 - B61 - Stimulus Group
Y25 - B82 -
Y26 - B73 -
Y27 - B54 -
Y28 - A21 - Temperament
Y29 - A43 -
Y30 - A75 - Reasoning Group
Y31 - A86 - Perception Group
Y32 - 931 - Ring of Benefit
Y33 - 942 - Ring of Supervision
Y34 - 985 -
Y35 - 976 -

16. Let's call X1 to X9 : 1 to 9 - and X10 to X15 : A to F.

There are 35 tetratomic masks, let's call them Y01 to Y35 :

Y02 - FCB - Mobilisation Group
Y03 - FA9 - Blocking Group
Y04 - F87 -
Y05 - F65 - Club
Y06 - F41 - Dual Activation Group
Y07 - F32 - Labyrinth
Y08 - E81 -
Y09 - E62 - Group of world view, or of Gulenko's Unclean Attitudes
Y10 - E53 -
Y11 - E74 -
Y12 - EC9 -
Y13 - EBA - Square
Y14 - D71 -
Y15 - D52 - Group of modus operandi
Y16 - D63 -
Y17 - D84 -
Y18 - DB9 -
Y19 - DCA - Business Square
Y20 - C51 - Communicability Group
Y21 - C72 -
Y22 - C83 -
Y23 - C64 -
Y24 - B61 - Stimulus Group
Y25 - B82 -
Y26 - B73 -
Y27 - B54 -
Y28 - A21 - Temperament
Y29 - A43 -
Y30 - A75 - Reasoning Group
Y31 - A86 - Perception Group
Y32 - 931 - Ring of Benefit
Y33 - 942 - Ring of Supervision
Y34 - 985 -
Y35 - 976 -

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