Independent query guide · virtual-coin demo

Equal Echoes: Rules, Probabilities, and Controls

The official website of q8q.

The official website of q8q. This guide explains the exact mechanics of Equal Echoes, a browser-based demo where five independent readings determine your score. Unlike standard roulette, this game uses a fixed set of thirteen pockets (0–12) and calculates payouts based on specific score distributions. The demo operates on a virtual wallet with no external account linkage.

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Scoring Mechanics

The core of Equal Echoes involves drawing five independent uniform readings from pockets numbered 0 to 12. The score is calculated by summing the squared position-index differences for every unordered pair of equal readings. Different values do not contribute to the score; only repeated equal values create distinct position pairs.

For example, if the result is [0, 0, 0, 0, 0], the raw score is 50. Similarly, [12, 12, 12, 12, 12] yields a raw score of 50. If all readings are distinct, such as [0, 1, 2, 3, 4], the raw score is 0.

Tickets and Modes

Before spinning, you must choose one ticket from three modes. These tickets can overlap, meaning a single result might satisfy multiple conditions, though you select only one per draw.

TicketDescription
LowerCovers the first floor(number of distinct attainable scores / 2) scores.
UpperCovers the rest of the score range.
EvenCovers all even integer scores.

Each ticket has a specific exact probability and gross RTP of 0.96. The exact cutoffs and multipliers are displayed in the math modes of the demo.

Payout and Settlement

A matching result returns a gross payout calculated as:

  • 0 on a miss.
  • 0.96 × captured whole stake × total support / number of winning ordered outcomes on a win.

The entire stake covers the complete multi-spin outcome. Settlement takes 480ms. During this time, stake, ticket, and refill options are locked.

Controls and Auto-Play

Auto-play schedules at most ten draws. The Stop button cancels future draws, but active draws finish their settlement. No early bank is available. Sound remains available throughout the process.

Wallet and Persistence

The demo uses a manual idle-only restoration. If the balance is below 10 and the user is idle, a manual refill sets the balance to exactly 1000, preserving fractional carry. Reload discards unfinished draws without refund. Settled balance persists locally, including zero.

Mathematical Evidence

Simulation measurements are supporting observations. The exact gross RTP for all tickets is 0.96. Below are the exact probabilities measured from 1,000,000 rounds:

TicketExact ProbabilityMeasured RTP
0 (Lower)340,080 / 371,29396.009%
1 (Upper)31,213 / 371,29395.867%
2 (Even)256,789 / 371,29396.021%

Frequently asked questions

How is the score calculated?

The score sums the squared position-index differences for every unordered pair of equal readings from the five drawn pockets (0–12). Distinct values do not contribute.

What happens if I reload during a draw?

Reloading discards unfinished draws without refund. Only settled balances persist locally.

Is the 0.96 RTP guaranteed?

The exact gross RTP is 0.96 for all tickets. Measured RTPs in simulations (e.g., 96.009% for Lower) are supporting observations, not promised session results.