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Psychomatrix (Pythagorean square) · Line 7 of 8 · the falling diagonal

The falling diagonal, 1-5-9: spirituality, or the pull toward meaning

The falling diagonal of the Psychomatrix is the line that runs from the top-left cell to the bottom-right, joining 1, 5 and 9, Character, Logic and Memory. The school reads its total as spirituality, interest in meaning and the inner life; it drops from 5.69 to 4.08 on average after 2000.

A 3 by 3 square drawn 1 4 7, 2 5 8, 3 6 9, with the falling diagonal, cells 1, 5 and 9, marked and joined by a line. Beside it a bar chart of the share of dates in each band: for 1900 to 1999, 51.8 percent of dates total 6 or more; for 2000 to 2099 that falls to 22.1 percent and 2 to 3 becomes commonest. Cells 1-5-9 1 4 7 2 5 8 3 6 9 1900 to 1999 2000 to 2099 Share of dates by line total 0% 20% 40% 60% 0–1 2–3 4 5 6+ Digits in the three cells, by band Average total: 5.69 (1900 to 1999), 4.08 (2000 to 2099)
The falling diagonal in the square, and the share of dates in each band of its total over the twentieth century (filled) and the twenty-first (outlined): our own count under the classic formula, on the thresholds we use.

Facts

Cells
1, 5, 9: Character, Logic, Memory
Kind of line
A diagonal, from the top-left cell to the bottom-right, as drawn 1 4 7 / 2 5 8 / 3 6 9
The tradition's name
Spirituality (духовность)
What is counted
The number of digits in its three cells
Bands on our thresholds
0–1 weak; 2–3 normal; 4 strong; 5 maximal; 6+ overload
Average total
5.69 (1900 to 1999); 4.08 (2000 to 2099); at most 12 on any date
In the Western birth chart
Phillips's "arrow of Determination", read only when all three cells are full or all empty

Meaning

The diagonal from the top-left cell to the bottom-right joins character, logic and memory, and the school reads its total as spirituality: interest in meaning and the inner life. Up to one digit is read as little interest; two or three as a normal, integrated interest; four as a strong pull; five as spirituality ruling the personality; and six or more as a loss of proportion. Alexandrov's books set this diagonal against the other, temperament, when matching partners; we do not.

In our own words, the diagonal describes how much attention a person gives to questions of meaning. It does not say whether anyone is religious or not, and a high count does not make a mystic.

Every band, in our words

The line is read by the number of digits in its three cells, on thresholds of its own. Our reading of each band follows, with the share of dates that fall in it over every day of the twentieth century and of the twenty-first.

  • 0–1, weak. Little interest in the inner life or in meaning. Dates: no date of 1900 to 1999, 7.0 percent of 2000 to 2099.
  • 2–3, normal. A normal, integrated interest in meaning. Dates: 8.8 percent of 1900 to 1999, 31.2 percent of 2000 to 2099.
  • 4, strong. A strong pull toward meaning. Dates: 16.8 percent of 1900 to 1999, 20.4 percent of 2000 to 2099.
  • 5, maximal. Spirituality rules the personality. Dates: 22.6 percent of 1900 to 1999, 19.3 percent of 2000 to 2099.
  • 6+, overload. A loss of proportion. Dates: 51.8 percent of 1900 to 1999, 22.1 percent of 2000 to 2099.

What fills the line

Both ends of this diagonal are filled by a twentieth-century year: its 1 and its 9. So 51.8 percent of dates from 1900 to 1999 total six or more, the band the tradition reads as a loss of proportion. From 2000 the 9 goes and the 1s thin: the average falls from 5.69 to 4.08, the top band to 22.1 percent, and two or three becomes the commonest total.

What this page leaves out

The school compares two people's lines for compatibility and teaches transitions between cells; we compute neither. Births from 2000 are read on the classic formula, with the "+19" variant as a labelled option.

Correspondences

Each item with how it stands: “sourced” is in the work cited, “our construction” is EsoTerrier’s own, and “disputed” means the sources disagree.

Line name (Alexandrov school)
Spirituality (духовность); the English name is ours sourced
Thresholds
0–1 weak; 2–3 normal; 4 strong; 5 maximal; 6+ overload: the common Russian scheme; whether they match Alexandrov's own in every band is open disputed
Readings of each band (EsoTerrier)
Written fresh in our own words; the Russian sites' readings repeat Alexandrov's books and are not translated our construction
Arrow in the Western birth chart (Phillips, as summarised)
"Determination": the same three cells in a grid flipped top to bottom, date digits only sourced

How the schools read it

Alexandrov's school and the Russian tools
Add the digits in cells 1, 5, 9 and read the total on the line's own thresholds; the line is Spirituality.
Afisha and a few others
The same cells, drawn with 1 2 3 across the top, so that this diagonal is drawn as a diagonal.
Practitioners of "+19"
For births from 2000 the digits counted change, and with them the total. A convention, offered by us only as a labelled option.
Templeton and Phillips
The "arrow of Determination": a strength when all three cells hold date digits, a weakness when all three are empty; no bands.
EsoTerrier
The diagonal describes how much attention a person gives to questions of meaning. It does not say whether anyone is religious or not, and a high count does not make a mystic.

Claims about it

  • The spirituality line is Pythagorean.

    false

    What the record shows: Pythagoras wrote nothing and no early source has a digit square. The eight lines are the Alexandrov school's addition to the Russian square, in print from 1999.

  • The square's lines add up like those of a magic square.

    false

    What the record shows: In a magic square, such as the Lo Shu or Dürer's of 1514, every line makes the same sum. Here a line is the number of digits in three cells, and its total varies from date to date.

  • Phillips's "arrow of Determination" for these cells is an arrow of Pythagoras.

    false

    What the record shows: The grid of date digits with its arrows comes from Hettie Templeton in Sydney, 1940, carried on by David Phillips. Pythagoras is the brand, not the source.

  • The ratio of this diagonal to the other shows which partner suits whom.

    unverified

    What the record shows: Alexandrov's scheme for matching partners, from his 2016 big book; never tested. We keep the diagonals' names and compare no squares.

  • A difference of 0 or 1 between two people's totals on this line means good compatibility.

    unverified

    What the record shows: A practitioners' rule of thumb across Russian compatibility sites, not traced to Alexandrov's text and never tested. We compare no squares.

Elsewhere on EsoTerrier

Sources

Primary texts (4)
  1. Aleksandr F. Aleksandrov, Большая книга нумерологии: цифровой анализ. Moscow: Ripol Klassik, 2016; Russian State Library record and its public snippets. Facts only. search.rsl.ru/ru/search#q=Александров%20Большая%20книга%20нумерологии
  2. David A. Phillips, The Complete Book of Numerology. Hay House, 1992 (and 2005); known from a published summary; facts only. shortform.com/summary/the-complete-book-of-numerology-summary-david-a-phillips
  3. Hettie Templeton, Numbers and Their Influence. Sydney, 1940; reissued by Rockpool as Numerology: Numbers and Their Influence. Known from the publisher's description; facts only. simonandschuster.co.uk/books/Numerology/RoseMaree-Templeton/9781921295508
  4. Aleksandr F. Aleksandrov, with a preface by Alla Aleksandrova, Большая книга нумерологии. Цифровой анализ, 2025 edition: the publisher's description and the preface, as the retailer's record gives them. Facts only. litres.com/book/aleksandr-aleksandrov/bolshaya-kniga-numerologii-71501734
Studies and other sources (7)
  1. numeroscop.ru, the pages on the cells, rows, columns and diagonals of the Psychomatrix. numeroscop.ru/kvadrat_pifagora/psikhomatrica
  2. numerolog.ru, "Как рассчитать квадрат Пифагора" and "Расшифровка значений". numerolog.ru/pifagor/kak-rasschitat-kvadrat-pifagora.html
  3. "Numerology and the arrows of Pythagoras", chinesemedicinehistoryandphilosophy.blogspot.com, 2016 (a summary of Phillips's birth chart). chinesemedicinehistoryandphilosophy.blogspot.com/2016/07/numerology-and-arrows-of-pythagoras.html
  4. Afisha Daily, "Квадрат (матрица) Пифагора: что это, как рассчитать по дате рождения и как расшифровать". daily.afisha.ru/poleznye-stati/30489-kvadrat-matrica-pifagora-chto-eto-kak-rasschitat-po-date-rozhdeniya-i-kak-rasshifrovat
  5. yolkki.ru, "Расчёт матрицы Пифагора онлайн" (the "+19 constant" as a calculator states it). yolkki.ru/construction/raschet-matricy-pifagora-onlain-kak-rasschitat-kvadrat-pifagora-po-date
  6. numeroscop.ru, "Совместимость по квадрату Пифагора" and "Совместимость по темпераменту". numeroscop.ru/sovmestimost/po_psikhomatrice
  7. numpif.blogspot.com (an Alexandrov-method practitioner), "Переходы энергий в психоматрице" (the transitions), September 2007. numpif.blogspot.com/2007/09/blog-post_5047.html
Our own research (3)
  1. EsoTerrier calculation engine, the Psychomatrix service and its documentation.
  2. EsoTerrier, numerology, Psychomatrix and gematria research, 10 to 13 October 2026, with the own-words readings of every cell and line.
  3. EsoTerrier, the count of every cell and line over every date from 1900 to 2099 under the classic formula (October 2026), recounted with separate code for these pages.

Your Psychomatrix reading, $3.99. Includes this system's raw data. Written for you by AI. Read a sample. Charts and the written text are free in every account.

By EsoTerrier. Written with AI assistance from our research and checked against its sources; last revised 20 October 2026. How we write these pages.

First published ; last revised . Corrections: support@esoterrier.com.