Distance means a position gap

Three rows of nine do not mean three distance bands

A tempting shortcut is to rename the three rows of nine as near, middle and far. Test that shortcut before using a distance chart. The three-nine sequence in T1299 arranges 27 positions in three rows beginning with Ming, Ye and Tai. The modern Koseido distance explanation instead compares the six positions belonging to each of four paired groups. These organisations answer different questions. Having three parts does not make them interchangeable.

Offset 26 gives a simple counterexample to calling the last row “far”. It sits late in the written ordering but immediately next to the origin on the circle. Its short gap is one. Under the convention used here, it belongs with offset 1 in the near band, not with the most distant positions.

Keep the historical source and the modern convention named separately. The scripture supplies the ordering discussed in the reciprocal-label article; the practitioner guide supplies this distance classification. Neither citation turns the resulting label into evidence that an encounter must happen soon or that a partnership will develop slowly.

Short gap first, category second

The examples can be generalised by measuring the shorter path around the declared 27-position circle. Let d be the forward offset, with the starting position numbered zero. Compare d with 27 − d and take the smaller value. At d = 0 the result is zero. These are steps between mansion positions, not kilometres, years of acquaintance or units of affection.

Offset 18 is a useful check. Its shorter side is 9, so it receives no distance category here. Calling it far simply because eighteen is a large forward count would be incorrect under the stated rule. An intentionally inapplicable field is different from missing data.

Because the circle has 27 positions, the greatest short gap between two positions is 13. There is no mansion exactly thirteen and a half steps away. This arithmetic fact says nothing about an opposite personality: a geometric description cannot establish a psychological one.

One group, three checked examples

To find out what the named convention actually does, start with its worked positions. In Takemoto Kosei's Koseido chart guide, with Mao as the reference, Bi is near Rong, Zhang is middle Qin and Zhen is far Rong. The forward offsets in the adopted 27-name order (Mao 昴, Bi 畢, Zi 觜, Shen 參, Jing 井, Gui 鬼, Liu 柳, Xing 星, Zhang 張, Yi 翼, Zhen 軫, Jiao 角, Kang 亢, Di 氐, Fang 房, Xin 心, Wei 尾, Ji 箕, Dou 斗, Nu 女, Xu 虛, Wei 危, Shi 室, Bi 壁, Kui 奎, Lou 婁, Wei 胃) are 1, 8 and 10. Their short gaps are also 1, 8 and 10, so the examples fall into near, middle and far respectively.

Open the full-size diagram

Original classification scale for the stated modern convention; colours identify bands, not quality.

All three belong to Rong–Qin, yet the directional label is not the same in every row. The figure deliberately keeps label and distance separate. It is not a ladder of relationship quality. Reversing Mao and Bi changes the forward offset from 1 to 26 while leaving the short gap at 1; the relative role must be read in the reversed direction, but the near category remains.

Symmetry of this category is a property of the calculation. It does not mean both people feel equally close, want the same contact frequency or contribute equally to a project. Those are independent questions about the people. For the underlying reciprocal labels, see six relationship groups.

Complete the group by adding the other three targets from the cited guide. From Mao, Bi at offset 1 and Wei (Stomach) at 26 both have short gap 1; Zhang at 8 and Nü at 19 both have gap 8; Zhen at 10 and Ji at 17 both have gap 10. These are the guide’s full six Rong–Qin positions across the three bands.

This does not make one, eight and ten the only possible gaps for every relationship group. They are the gaps in this particular Rong–Qin comparison. An–Huai, for example, has near offsets three and twenty-four, each with short gap three. Reading the group’s actual positions before assigning a band explains why several short gaps can belong to near.

Reverse the references to check the result

Suppose A is one step from B in a fixed direction around a 27-position cycle. Returning from B to A in that same direction takes 26 steps. Those numbers describe adjacent positions, not one close relationship and one distant relationship. A method based only on the size of the forward offset would confuse direction with separation.

The unchanged short gap is a useful check on the calculation, while the directional role still needs to be read from the new reference. This short-gap formula is a reconstruction of the named practitioner’s arrangement, not a quotation of a universal ancient rule. A different school must document its own convention rather than borrowing the names and silently changing the arithmetic.

Read physical and social distance from their own evidence

Imagine two people organising a small reading group. They may live nearby but have incompatible schedules, or live far apart and exchange notes regularly. Their addresses, travel options, interest and availability describe actual conditions. A mansion-distance field does not contain those inputs and cannot replace them.

Moving house can change practical access without changing a pair of fixed birth labels. Similarly, assigning a near category does not authorise someone to accelerate a relationship or disregard another person's preference. The classification can remain part of a cultural reading while plans are based on the participants' stated choices.

When comparing reports, watch for advice that changes only an adjective when the distance category changes. “Closer”, “steadier” or “slower” may sound tailored while leaving the same unsupported story underneath. Useful discussion of a real situation needs its actual constraints and observations, not just a more elaborate label.

A reproducible note should keep the adopted convention, both birth labels, both directed offsets, the short gap and the final distance field. If the birth labels are later corrected, revisit that chain from the beginning. Do not choose a preferred distance by asking which narrative best resembles a remembered relationship. Calculation-method differences explains how to verify the starting labels before using them here.